* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 106 additional inputs, on iter 1 have 150 / 256
* * * * [misc]points:  Computing exacts on every 6 of 106 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 106 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 106 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 39 additional inputs, on iter 2 have 217 / 256
* * * * [misc]points:  Computing exacts on every 2 of 39 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 39 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 25 additional inputs, on iter 3 have 231 / 256
* * * * [misc]points:  Computing exacts for 25 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 10 additional inputs, on iter 4 have 246 / 256
* * * * [misc]points:  Computing exacts for 10 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 5 have 253 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/2 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 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 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 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 (* 2 (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 (* 2 (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 (* 2 (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 (* 2 (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 (* 2 (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 (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 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 (* 2 (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 (* 2 (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 (* 2 (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 (* 2 (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 (* 2 (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 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 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) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 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) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 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 (+ (* a2 a2) (* a1 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 (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 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 (+ (* a2 a2) (* a1 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 (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (+ (pow a1 2) (pow a2 2))) into (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (pow a1 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a1 2) (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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/2 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 (sqrt 2)))) (+ (pow a1 2) (pow a2 2))) into (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of -1/2 in a2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (pow a1 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (pow a1 2) (sqrt 2))) into (* -1/2 (/ (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of -1/2 in a1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]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 (/ 0 (pow a1 2))) (/ 0 a1)) 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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt 2)) (* (/ (pow a1 2) (sqrt 2)) (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2)))) 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 (/ (+ (* 2 (/ 0 (pow a1 3))) (+ (* -3 (/ 0 (pow a1 2))) (/ 0 a1))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 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)) (pow a1 2)) (* (/ 1 (sqrt 2)) (pow a2 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (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 (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (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 (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 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 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 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 (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (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 (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (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 (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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]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 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (pow a1 2) (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 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (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)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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]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 (/ 0 (pow a1 2))) (/ 0 a1)) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (pow a1 2) (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 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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 (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a2)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a1)) 2))) into (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (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 (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (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 (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 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 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 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 (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (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)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) 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 0 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 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (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 (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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]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 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a1 2) (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 (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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]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 (/ 0 (pow a1 2))) (/ 0 a1)) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a1 2) (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 (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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 (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a2))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a1))) 2))) into (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (* a2 a2) (* a1 a1)) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 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 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (+ (pow a1 2) (pow a2 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 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 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 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 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 a2)) 2) (pow (/ 1 (/ 1 a1)) 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 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 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 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 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 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 0 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 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 (- a2))) 2) (pow (/ 1 (/ 1 (- a1))) 2)) into (+ (pow a1 2) (pow a2 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (pow (/ (cos th) (sqrt 2)) 1) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (- (log (cos th)) (log (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (log (/ (cos th) (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (log (exp (/ (cos th) (sqrt 2)))) (+ (* a2 a2) (* a1 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:  [ 5 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2)))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2)))
* * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (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)))
* * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (+ (* a2 a2) (* a1 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)))
* [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:  [ 9 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (- (cos th)) (- (sqrt 2))) (+ (* a2 a2) (* a1 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:  [ 10 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [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:  [ 11 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [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 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 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)))
* [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:  [ 15 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [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 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 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 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ 1 (sqrt 2))) (+ (* a2 a2) (* a1 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 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 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 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) 1) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 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:  [ 28 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1))>
* * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))
* * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (log (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (* (/ (pow (cos th) 3) (* 2 (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 3))
* [exit]simplify:  Simplified to (* (/ (pow (cos th) 3) (* 2 (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 3))
* * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (208 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))
* * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))) (cbrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))) (cbrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* [exit]simplify:  Simplified to (pow (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))) (* (sqrt 2) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* a2 a2) (cos th)) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))))
* [exit]simplify:  Simplified to (+ (* (* (* a2 a2) (cos th)) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* (* a2 a2) (sqrt 2))) (* (- (* a1 a1) (* a2 a2)) (* (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* (* a2 a2) (sqrt 2))) (* (- (* a1 a1) (* a2 a2)) (* (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (* (sqrt 2) (- (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (cos th) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (438 enodes)
* [exit]simplify:  Simplified to (* (- (* a2 a2) (* a1 a1)) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* [exit]simplify:  Simplified to (* (- (* a2 a2) (* a1 a1)) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* [enter]simplify:  Simplifying (* (sqrt 2) (- (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (487 enodes)
* [exit]simplify:  Simplified to (* (* (+ a1 a2) (- a2 a1)) (sqrt 2))
* [exit]simplify:  Simplified to (* (* (+ a1 a2) (- a2 a1)) (sqrt 2))
* * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))>
* * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* a2 a2) (/ (cos th) (sqrt 2))) (* (* a1 a1) (/ (cos th) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [enter]simplify:  Simplifying (* (* a1 a1) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (* a2 a2) (* a1 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 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (249 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* * [misc]simplify:  iters left: 2 (488 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3))))
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3))))
* * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (- (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (* (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))>
* * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (* (exp (* a2 a2)) (exp (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (exp (* a2 a2)) (exp (* a1 a1)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (pow (+ (* a2 a2) (* a1 a1)) 1)))>
* * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (exp (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (log (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (log (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (log (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (exp (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (exp (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (cbrt (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (cbrt (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (pow (+ (* a1 a1) (* a2 a2)) 3)
* [exit]simplify:  Simplified to (pow (+ (* a1 a1) (* a2 a2)) 3)
* * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [enter]simplify:  Simplifying (sqrt (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (/ (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))))>
* [enter]simplify:  Simplifying (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3)))
* [exit]simplify:  Simplified to (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3)))
* [enter]simplify:  Simplifying (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
* * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* 1 (+ (* a2 a2) (* a1 a1)))))>
* * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* [exit]simplify:  Simplified to (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
* [exit]simplify:  Simplified to (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
* [enter]simplify:  Simplifying (- (* a2 a2) (* a1 a1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (* a2 a2) (* a1 a1))
* [exit]simplify:  Simplified to (- (* a2 a2) (* a1 a1))
* * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (405 enodes)
* [exit]simplify:  Simplified to (+ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (* (- (/ (pow th 4) (/ (sqrt 2) 1/24)) (/ (* th th) (/ (sqrt 2) 1/2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a1 2) (pow a2 2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a1 2) (pow a2 2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a1 2) (pow a2 2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/2 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt (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 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (* 1/24 (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/2 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/24 (sqrt (/ 1 (sqrt 2)))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow th 2)) (sqrt (/ 1 (sqrt 2))))) into (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2))))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt (sqrt 2))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt (sqrt 2))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (+ (pow a1 2) (pow a2 2))) into (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (pow a1 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a1 2) (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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/2 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 (sqrt 2)))) (+ (pow a1 2) (pow a2 2))) into (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of -1/2 in a2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (pow a1 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (pow a1 2) (sqrt 2))) into (* -1/2 (/ (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of -1/2 in a1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]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 (/ 0 (pow a1 2))) (/ 0 a1)) 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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt 2)) (* (/ (pow a1 2) (sqrt 2)) (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2)))) 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 (/ (+ (* 2 (/ 0 (pow a1 3))) (+ (* -3 (/ 0 (pow a1 2))) (/ 0 a1))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 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)) (pow a1 2)) (* (/ 1 (sqrt 2)) (pow a2 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 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 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 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 (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (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 (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (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 (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (pow a1 2) (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 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (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)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (/ 0 (pow a1 2))) (/ 0 a1)) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (pow a1 2) (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 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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 (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a2)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a1)) 2))) into (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) in (th a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 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 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a1))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log a1)) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (log a1) into (log a1)
* [misc]backup-simplify:  Simplify (* 2 (log a1)) into (* 2 (log a1))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a1))) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 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 (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (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)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) 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 0 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 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (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 (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 a1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a1 2) (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 (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (/ 0 (pow a1 2))) (/ 0 a1)) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a1 2) (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 (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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 (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a2))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a1))) 2))) into (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (* a2 a2) (* a1 a1)) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (+ (* a2 a2) (* a1 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 (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 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 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 (+ (pow a1 2) (pow a2 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 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 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 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 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 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 a2)) 2) (pow (/ 1 (/ 1 a1)) 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (a2 a1) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 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 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 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 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 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 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 0 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 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 (- a2))) 2) (pow (/ 1 (/ 1 (- a1))) 2)) into (+ (pow a1 2) (pow a2 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) 1) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 2 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 3 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 4 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (exp (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 5 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (exp (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 6 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2)))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2)))
* * * * [misc]progress:  [ 7 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* * [misc]simplify:  iters left: 2 (454 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 8 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 9 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cbrt (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (499 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 10 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (- (/ (cos th) (sqrt (sqrt 2)))) (- (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (- (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (- (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (- (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (- (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 12 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 13 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 14 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 15 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 16 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 17 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 18 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 19 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 20 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 21 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 22 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 23 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 24 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 25 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 26 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 27 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (sqrt 1)))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (sqrt 1)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 28 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 29 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 30 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 31 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 32 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 33 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 34 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 35 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 36 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 37 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 38 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 39 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 40 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 41 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 42 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 43 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt 1)))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt 1)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 44 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (/ (sqrt 1) (cbrt (cos th)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (/ (sqrt 1) (cbrt (cos th)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 45 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 46 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (/ (sqrt 1) (cbrt (cos th)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (/ (sqrt 1) (cbrt (cos th)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 47 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 1) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 1) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 48 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 49 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 50 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 51 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 52 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 53 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 54 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 55 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 56 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 57 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 58 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 59 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 60 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 61 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 62 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 63 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (sqrt 1) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (sqrt 1) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 64 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 65 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 66 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 67 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 68 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 69 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 70 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 71 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 72 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 73 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 74 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 75 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 76 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 77 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 78 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 79 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 80 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 81 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) 1)
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 82 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 83 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (7 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 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 84 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 85 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 86 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 87 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 88 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 89 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 90 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 91 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 92 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 93 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 94 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 95 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 96 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 97 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 98 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 99 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 100 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 101 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 102 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 103 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 104 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 105 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 106 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 107 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 108 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 109 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 110 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 111 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 112 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 113 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 114 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 115 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 116 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 117 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 118 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 119 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 120 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 121 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 122 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 123 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 124 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 125 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 126 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 127 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 128 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 129 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 1) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 130 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 131 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 1) 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 132 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 133 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 134 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 135 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 136 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 137 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ 1 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 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 (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 138 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 139 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 140 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 141 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 1)) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 142 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 143 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) 1) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 144 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 145 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 146 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 147 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 148 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 149 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 150 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1)) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 151 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 152 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 153 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 154 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 155 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* * * * [misc]progress:  [ 156 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 157 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* * * * [misc]progress:  [ 158 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 159 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* * * * [misc]progress:  [ 160 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 161 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* * * * [misc]progress:  [ 162 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 163 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* * * * [misc]progress:  [ 164 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 165 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* * * * [misc]progress:  [ 166 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 167 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 168 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 169 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 170 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 171 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 172 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 173 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 174 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [exit]simplify:  Simplified to (sqrt 2)
* * * * [misc]progress:  [ 175 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [exit]simplify:  Simplified to (sqrt 2)
* * * * [misc]progress:  [ 176 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (pow (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 177 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (exp (- (log (cos th)) (log (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 178 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (exp (log (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 179 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (log (exp (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 180 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 181 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 182 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cbrt (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cos th) (sqrt 2)) (sqrt (sqrt 2))) (* (cos th) (cos th)))
* [exit]simplify:  Simplified to (* (/ (/ (cos th) (sqrt 2)) (sqrt (sqrt 2))) (* (cos th) (cos th)))
* * * * [misc]progress:  [ 183 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 184 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (- (cos th)) (- (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 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 (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 185 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 186 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 187 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 188 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 189 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 190 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 191 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 192 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 193 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 194 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [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:  [ 195 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 196 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [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:  [ 197 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 198 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 199 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 200 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 201 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 202 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (/ 1 1) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 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 (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 203 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 204 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cos th) (/ 1 (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 205 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (/ (sqrt (sqrt 2)) (cos th))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cos th))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 206 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 207 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 208 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 209 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* * * * [misc]progress:  [ 210 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 211 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (/ (cos th) 1) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 212 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (cos th)))
* * * * [misc]progress:  [ 213 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (cos th)))
* * * * [misc]progress:  [ 214 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (/ (sqrt (sqrt 2)) (cos th))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cos th))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 215 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) 1))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 216 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) 1))>
* * * * [misc]progress:  [ 217 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) (log (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* [exit]simplify:  Simplified to (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (+ (* a1 a1) (* a2 a2)))))
* [exit]simplify:  Simplified to (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 218 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) (log (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* [exit]simplify:  Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (+ (* a1 a1) (* a2 a2)))))
* [exit]simplify:  Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 219 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (log (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (* a2 a2))) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (* a2 a2))) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 220 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (log (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (457 enodes)
* [exit]simplify:  Simplified to (log (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 221 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (exp (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (259 enodes)
* * [misc]simplify:  iters left: 1 (367 enodes)
* [exit]simplify:  Simplified to (exp (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 222 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (268 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 223 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (267 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))
* * * * [misc]progress:  [ 224 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (221 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (cos th) (sqrt 2)) 3) (pow (+ (* a1 a1) (* a2 a2)) 3))
* [exit]simplify:  Simplified to (* (pow (/ (cos th) (sqrt 2)) 3) (pow (+ (* a1 a1) (* a2 a2)) 3))
* * * * [misc]progress:  [ 225 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))) (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 226 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (165 enodes)
* [exit]simplify:  Simplified to (pow (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 227 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))) (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 228 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt (sqrt 2))) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))) (* (sqrt (sqrt 2)) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (486 enodes)
* [exit]simplify:  Simplified to (* (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (/ (cos th) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a1) (* a2 a1)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a1) (* a2 a1)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 229 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt (sqrt 2))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (* (sqrt (sqrt 2)) (- (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (- (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* [exit]simplify:  Simplified to (* (* (- a2 a1) (+ a1 a2)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (* (* (- a2 a1) (+ a1 a2)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 230 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* * * * [misc]progress:  [ 231 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 232 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* a2 a2) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* a1 a1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [enter]simplify:  Simplifying (* (* a1 a1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 233 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cos th) (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (* (/ (cos th) (sqrt 2)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 234 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 235 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) 1) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 236 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 237 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 238 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 239 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 240 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 241 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 242 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 243 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 244 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 245 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 246 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 247 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 248 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 249 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 250 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 251 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 252 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 253 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 254 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 255 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 256 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 257 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 258 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 259 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 260 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 261 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 262 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 263 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 264 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 265 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 266 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 267 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 268 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 269 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 270 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 271 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 272 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 273 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 274 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 275 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 276 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 277 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 278 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 279 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 280 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 281 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 282 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 283 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 284 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 285 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 286 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 287 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 288 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 289 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 290 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 291 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 292 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 293 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 294 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 295 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 296 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 297 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 298 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 299 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 300 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 301 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 302 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 303 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 304 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 305 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 306 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 307 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 308 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 309 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt 1)) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 310 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 311 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (341 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 312 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 313 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 314 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 315 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 316 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 317 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 318 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 319 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 320 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 321 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 322 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (322 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cos th)))
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cos th)))
* * * * [misc]progress:  [ 323 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 324 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 325 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 326 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 327 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 328 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 329 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 330 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 331 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 332 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 333 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 334 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 335 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 336 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 337 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 338 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 339 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 340 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 341 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 342 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 343 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 344 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 345 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt 1)) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 346 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 347 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (340 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 348 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 349 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 350 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 351 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 352 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 353 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 354 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 355 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 356 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 357 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 1) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 358 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 359 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 360 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 361 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 362 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 363 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 364 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 365 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 366 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 367 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt 1)) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* * * * [misc]progress:  [ 368 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 369 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) 1) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* * * * [misc]progress:  [ 370 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (320 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 371 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (251 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 372 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (* (+ (* (pow a2 3) (pow a2 3)) (* (pow a1 3) (pow a1 3))) (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* (pow a2 3) (pow a2 3)) (* (pow a1 3) (pow a1 3))) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 373 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (- (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (* (* (- (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (* (* (- (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 374 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 375 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (+ (* a2 a2) (* a1 a1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))>
* * * * [misc]progress:  [ 376 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (log (* (exp (* a2 a2)) (exp (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (exp (* a2 a2)) (exp (* a1 a1)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 377 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (pow (+ (* a2 a2) (* a1 a1)) 1)))>
* * * * [misc]progress:  [ 378 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (exp (log (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (log (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (log (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (log (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 379 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (log (exp (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (exp (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 380 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (cbrt (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 381 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (cbrt (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (pow (+ (* a1 a1) (* a2 a2)) 3)
* [exit]simplify:  Simplified to (pow (+ (* a1 a1) (* a2 a2)) 3)
* * * * [misc]progress:  [ 382 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [enter]simplify:  Simplifying (sqrt (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 383 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))))>
* [enter]simplify:  Simplifying (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3)))
* [exit]simplify:  Simplified to (+ (pow (* a1 a1) 3) (* (pow a2 3) (pow a2 3)))
* [enter]simplify:  Simplifying (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
* * * * [misc]progress:  [ 384 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* 1 (+ (* a2 a2) (* a1 a1)))))>
* * * * [misc]progress:  [ 385 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1)))))>
* [enter]simplify:  Simplifying (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* [exit]simplify:  Simplified to (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
* [exit]simplify:  Simplified to (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
* [enter]simplify:  Simplifying (- (* a2 a2) (* a1 a1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (* a2 a2) (* a1 a1))
* [exit]simplify:  Simplified to (- (* a2 a2) (* a1 a1))
* * * * [misc]progress:  [ 386 / 398 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 387 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (405 enodes)
* [exit]simplify:  Simplified to (+ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (* (- (/ (pow th 4) (/ (sqrt 2) 1/24)) (/ (* th th) (/ (sqrt 2) 1/2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 388 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 389 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 390 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2)))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2)))))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt 2))) (/ (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (+ (- (* (pow th 4) 1/24) (* (* th th) 1/2)) 1)))
* * * * [misc]progress:  [ 391 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (497 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (/ 1 (sqrt 2)))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 392 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))>
* [enter]simplify:  Simplifying (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (497 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (/ 1 (sqrt 2)))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 393 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* * * * [misc]progress:  [ 394 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 395 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 396 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow a1 2) (pow a2 2))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow a1 2) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 397 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow a1 2) (pow a2 2))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow a1 2) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 398 / 398 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow a1 2) (pow a2 2))))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (pow a1 2) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) in (a1 a2 th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) into (* (+ (pow a1 2) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [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 (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt (sqrt 2))) into (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))
* [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 (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt (sqrt 2))) into (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))
* [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 (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt (sqrt 2))) into (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (cos th)) into (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))) into (/ (* (cos th) (pow a2 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (pow a2 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 (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt (sqrt 2))) (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos th)) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (cos th) (sqrt (/ 1 (sqrt 2))))) into (/ (cos th) (sqrt 2))
* [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) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (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]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 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]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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow a2 2)) (* (/ 1 (sqrt 2)) (pow a1 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th)))) in (a1 a2 th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
* [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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (cos (/ 1 th))) into (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (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 (* (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [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 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]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 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (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 (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 0 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 th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a2)) 2))) into (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th))))) in (a1 a2 th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
* [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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/4) (pow (sqrt 2) 1/4)) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (cos (/ 1 th))) into (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (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 (* (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [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 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]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 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 0 into 0
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (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 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (pow (sqrt 2) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (pow (sqrt 2) 1/4)) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (pow (sqrt 2) 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 0 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 th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a1))) 2)) (* (/ (cos (/ 1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a2))) 2))) into (+ (/ (* (cos (* -1 th)) (pow a1 2)) (sqrt 2)) (/ (* (cos (* -1 th)) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt (sqrt 2))) into (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt (sqrt 2))) into (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt (sqrt 2))) into (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt (sqrt 2))) (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (pow a2 2)) (* (sqrt (/ 1 (sqrt 2))) (pow a1 2))) into (+ (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (pow (/ 1 (/ 1 a1)) 2)) (* (sqrt (/ 1 (sqrt 2))) (pow (/ 1 (/ 1 a2)) 2))) into (+ (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (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 -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -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 0 into 0
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (pow (/ 1 (/ 1 (- a1))) 2)) (* (sqrt (/ 1 (sqrt 2))) (pow (/ 1 (/ 1 (- a2))) 2))) into (+ (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in (a1 a2 th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) into (* (+ (pow a1 2) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [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 (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt (sqrt 2))) into (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))
* [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 (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt (sqrt 2))) into (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))
* [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 (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt (sqrt 2))) into (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (cos th)) into (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (pow a2 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 (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt (sqrt 2))) (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2))))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos th)) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (sqrt (/ 1 (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 (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (* (cos th) (sqrt (/ 1 (sqrt 2)))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (sqrt (/ 1 (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 (/ 1 (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (* (cos th) (sqrt (/ 1 (sqrt 2)))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (sqrt (/ 1 (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 (/ 1 (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2))) (pow a2 2)) (* (sqrt (/ 1 (sqrt 2))) (pow a1 2))) into (+ (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in (a1 a2 th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
* [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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) (cos (/ 1 th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (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 (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (cos (/ 1 th))) into (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) (pow (/ 1 (/ 1 a1)) 2)) (* (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) (pow (/ 1 (/ 1 a2)) 2))) into (+ (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (* (* (cos th) (pow a1 2)) (sqrt (/ 1 (sqrt 2)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in (a1 a2 th) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
* [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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [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 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) (cos (/ 1 (- th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (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 (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2))))) into (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (cos (/ 1 th))) into (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]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 0 into 0
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* (* (/ 1 (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) (pow (/ 1 (/ 1 (- a1))) 2)) (* (* (cos (/ 1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) (pow (/ 1 (/ 1 (- a2))) 2))) into (+ (* (* (cos (* -1 th)) (pow a1 2)) (sqrt (/ 1 (sqrt 2)))) (* (* (cos (* -1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 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 a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 a1)) 2) (pow (/ 1 (/ 1 a2)) 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 (- a1))) 2) (pow (/ 1 (/ 1 (- a2))) 2)) into (+ (pow a1 2) (pow a2 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) 1))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 2 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) 1))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 3 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) 1))>
* * * * [misc]progress:  [ 4 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (- (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a1 a1) (* a2 a2))) (- (log (sqrt (sqrt 2))) (log (cos th)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (- (- (log (+ (* a1 a1) (* a2 a2))) (- (log (sqrt (sqrt 2))) (log (cos th)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 5 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (- (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (- (- (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))) (- (log (sqrt (sqrt (sqrt 2)))) (log (cos th))))
* [exit]simplify:  Simplified to (- (- (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))) (- (log (sqrt (sqrt (sqrt 2)))) (log (cos th))))
* * * * [misc]progress:  [ 6 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (- (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (- (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (- (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 7 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (307 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (- (log (sqrt (sqrt 2))) (log (cos th)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (- (log (sqrt (sqrt 2))) (log (cos th)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 8 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* [exit]simplify:  Simplified to (- (+ (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (log (cos th))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (- (+ (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (log (cos th))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 9 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (- (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* [exit]simplify:  Simplified to (- (log (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (- (log (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 10 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (- (log (cos th)) (log (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 11 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (cos th))))
* [exit]simplify:  Simplified to (- (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (- (log (sqrt (sqrt 2))) (log (cos th))))
* * * * [misc]progress:  [ 12 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* [exit]simplify:  Simplified to (- (log (* (cos th) (+ (* a2 a2) (* a1 a1)))) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (- (log (* (cos th) (+ (* a2 a2) (* a1 a1)))) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 13 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (log (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* [exit]simplify:  Simplified to (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 14 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (exp (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (exp (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 15 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))) (* (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))) (* (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (/ (/ 1 (sqrt 2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 16 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (256 enodes)
* [exit]simplify:  Simplified to (* (* (cos th) (/ (/ 1 (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (* (* (cos th) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (* (* (cos th) (/ (/ 1 (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (* (* (cos th) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 17 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (/ (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (206 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (/ (/ 1 (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* [exit]simplify:  Simplified to (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (/ (/ 1 (sqrt (sqrt 2))) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * * * [misc]progress:  [ 18 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (319 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ 1 (sqrt (sqrt 2))) 3) (* (cos th) (cos th))) (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (sqrt 2) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (* (pow (/ 1 (sqrt (sqrt 2))) 3) (* (cos th) (cos th))) (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (sqrt 2) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 19 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (205 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (* (cos th) (cos th)))) (* (* (cos th) (/ 1 (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (* (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (* (cos th) (cos th)))) (* (* (cos th) (/ 1 (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 20 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (167 enodes)
* [exit]simplify:  Simplified to (* (* (* (cos th) (/ 1 (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2))))) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (sqrt (sqrt 2)) (cos th)))))
* [exit]simplify:  Simplified to (* (* (* (cos th) (/ 1 (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2))))) (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (sqrt (sqrt 2)) (cos th)))))
* * * * [misc]progress:  [ 21 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))) (cbrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))) (cbrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))) (cbrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))) (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))))
* [enter]simplify:  Simplifying (cbrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 22 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th))) 3)
* * * * [misc]progress:  [ 23 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))) (sqrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (sqrt (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 24 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 25 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* * * * [misc]progress:  [ 26 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th)))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (375 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 27 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (cbrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))) (* (cbrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (443 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1)))))
* * * * [misc]progress:  [ 28 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (sqrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* * [misc]simplify:  iters left: 1 (443 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1)))))
* * * * [misc]progress:  [ 29 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 30 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * * * [misc]progress:  [ 31 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (281 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2)) (cos th)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2)) (cos th)))))
* * * * [misc]progress:  [ 32 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 33 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt 1))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 34 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 35 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt 1)) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 36 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 37 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) 1) (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 38 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 39 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * * * [misc]progress:  [ 40 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (281 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2)) (cos th)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2)) (cos th)))))
* * * * [misc]progress:  [ 41 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 42 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 1))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 43 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 44 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 45 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 46 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) 1) (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (/ (sqrt (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 47 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 48 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (* (sqrt (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (* (sqrt (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 49 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 50 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 51 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 1))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 52 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 53 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt 1)) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 54 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 55 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 1) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 56 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 57 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (* (sqrt (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))) (* (sqrt (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 58 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 59 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 60 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 1))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 61 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 62 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt 1)) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 63 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* [exit]simplify:  Simplified to (/ (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 64 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 1) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 65 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 66 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 67 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (sqrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 68 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (sqrt (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 69 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))))>
* * * * [misc]progress:  [ 70 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (pow (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 1) (cos th))))>
* * * * [misc]progress:  [ 71 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (exp (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 72 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (exp (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 73 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (log (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 74 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (418 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 3)
* * * * [misc]progress:  [ 75 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 76 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) 3)
* * * * [misc]progress:  [ 77 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 78 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (- (+ (* a1 a1) (* a2 a2))) (- (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (- (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (- (* a1 (- a1)) (* a2 a2))
* [exit]simplify:  Simplified to (- (* a1 (- a1)) (* a2 a2))
* [enter]simplify:  Simplifying (- (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 79 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 80 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 81 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 82 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 1)) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 1)) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 83 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 84 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 85 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 86 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 87 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 88 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 89 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 90 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 91 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 92 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 93 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 94 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ 1 (sqrt 1)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 95 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 96 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ 1 1) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th))))>
* [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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 97 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th))))>
* * * * [misc]progress:  [ 98 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 99 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 100 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 101 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 102 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 103 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 1)) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 1))
* * * * [misc]progress:  [ 104 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 105 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) 1) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* * * * [misc]progress:  [ 106 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 107 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 108 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cos th))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 109 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cos th))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a2) (* a1 a2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (* (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a2) (* a1 a2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 110 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))) (cos th))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* [exit]simplify:  Simplified to (* (* (- a1 a2) (+ a2 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (* (* (- a1 a2) (+ a2 a1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 111 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (pow (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) 1)))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 112 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (pow (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) 1)))>
* * * * [misc]progress:  [ 113 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (exp (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2)))) (log (cos th)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (log (cos th)))
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt (sqrt 2)))) (log (cos th)))
* * * * [misc]progress:  [ 114 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (exp (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th))))))>
* [enter]simplify:  Simplifying (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (log (cos th)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (log (cos th)))
* [exit]simplify:  Simplified to (+ (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (log (cos th)))
* * * * [misc]progress:  [ 115 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (exp (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (log (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (log (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (log (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 116 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (log (exp (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (exp (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (exp (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (exp (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 117 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (* (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))))
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))))
* * * * [misc]progress:  [ 118 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (* (cos th) (cos th)) (cos th)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (331 enodes)
* [exit]simplify:  Simplified to (* (* (* (cos th) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
* [exit]simplify:  Simplified to (* (* (* (cos th) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
* * * * [misc]progress:  [ 119 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))) (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 120 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 121 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))) (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th))))
* [enter]simplify:  Simplifying (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th))))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th))))
* * * * [misc]progress:  [ 122 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* 1 (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* * * * [misc]progress:  [ 123 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (cos th))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* * * * [misc]progress:  [ 124 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (cos th))) (sqrt (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (cos th)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (cos th)))
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (cos th)))
* * * * [misc]progress:  [ 125 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 1) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 126 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* (cos th) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 127 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* (cos th) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 128 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 129 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 130 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 131 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1)) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 132 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 133 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 134 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 135 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 136 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 137 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 138 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 139 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 140 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 141 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 142 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 143 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (sqrt 1)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 144 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2)))) (cos th))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 145 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ 1 1) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 146 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* 1 (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 147 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* a1 a1) (* a2 a2)) (* (/ 1 (sqrt (sqrt 2))) (cos th)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 148 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (+ (* a1 a1) (* a2 a2)) (cos th))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th))
* * * * [misc]progress:  [ 149 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))))>
* * * * [misc]progress:  [ 150 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (log (* (exp (* a1 a1)) (exp (* a2 a2)))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (* (exp (* a1 a1)) (exp (* a2 a2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 151 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (pow (+ (* a1 a1) (* a2 a2)) 1) (sqrt (sqrt 2))) (cos th))))>
* * * * [misc]progress:  [ 152 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (exp (log (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (log (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (log (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (log (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 153 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (log (exp (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (exp (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 154 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (cbrt (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 155 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (pow (+ (* a2 a2) (* a1 a1)) 3)
* [exit]simplify:  Simplified to (pow (+ (* a2 a2) (* a1 a1)) 3)
* * * * [misc]progress:  [ 156 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 157 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a2 a2) 3) (* (pow a1 3) (pow a1 3)))
* [exit]simplify:  Simplified to (+ (pow (* a2 a2) 3) (* (pow a1 3) (pow a1 3)))
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))
* * * * [misc]progress:  [ 158 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (* 1 (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th))))>
* * * * [misc]progress:  [ 159 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* [exit]simplify:  Simplified to (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
* [exit]simplify:  Simplified to (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (* a1 a1) (* a2 a2))
* [exit]simplify:  Simplified to (- (* a1 a1) (* a2 a2))
* * * * [misc]progress:  [ 160 / 172 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (cos th))))>
* * * * [misc]progress:  [ 161 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* * * * [misc]progress:  [ 162 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 163 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos (* -1 th)) (pow a1 2)) (sqrt 2)) (/ (* (cos (* -1 th)) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos (* -1 th)) (pow a1 2)) (sqrt 2)) (/ (* (cos (* -1 th)) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 164 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt 2))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1)))))
* * * * [misc]progress:  [ 165 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt 2))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 166 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (+ (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a1 2) (sqrt (/ 1 (sqrt 2))))) (cos th)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (sqrt 2))) (/ (sqrt (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 167 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a2 2) (sqrt (/ 1 (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* (pow a1 2) (sqrt (/ 1 (sqrt 2)))) (* (pow a2 2) (sqrt (/ 1 (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (/ 1 (sqrt 2))))
* * * * [misc]progress:  [ 168 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (* (* (cos th) (pow a1 2)) (sqrt (/ 1 (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* (* (cos th) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))) (* (* (cos th) (pow a1 2)) (sqrt (/ 1 (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (448 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (sqrt 2))) (sqrt (/ 1 (sqrt 2))))
* * * * [misc]progress:  [ 169 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* (* (cos (* -1 th)) (pow a1 2)) (sqrt (/ 1 (sqrt 2)))) (* (* (cos (* -1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (+ (* (* (cos (* -1 th)) (pow a1 2)) (sqrt (/ 1 (sqrt 2)))) (* (* (cos (* -1 th)) (pow a2 2)) (sqrt (/ 1 (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (450 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* * * * [misc]progress:  [ 170 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 171 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 172 / 172 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) (cos th))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt (sqrt 2))) (cos th)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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 (pow a1 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]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 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]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 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt 2)) (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 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 (sqrt 2)) (* (/ 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow a2 2)) (* (/ 1 (sqrt 2)) (pow a1 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into (/ 1 (* (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) 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 (* 2 (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 (+ (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 a1)) 2)) (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 a2)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ 1 (pow a2 2)) (sqrt 2)) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2)))) into (/ 1 (* (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) 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 (* 2 (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 (+ (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 (- a1))) 2)) (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 (- a2))) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]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 (pow a1 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow a1 2) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]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 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]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 (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) into (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]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 (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) into (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) into (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a1 2) (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) (/ 0 (sqrt 2)))) 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 a2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) into (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of -1/2 in a1
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a1 2) (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]backup-simplify:  Simplify (* -1/2 (/ (pow a2 2) (sqrt 2))) into (* -1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of -1/2 in a2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow a2 2))) (/ 0 a2)) 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 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqrt 2)) (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) (/ 0 (sqrt 2)))) 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 a2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ 0 (pow a2 3))) (+ (* -3 (/ 0 (pow a2 2))) (/ 0 a2))) 6) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow a2 2)) (* (/ 1 (sqrt 2)) (pow a1 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (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 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (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 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]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 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) into (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (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 into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]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 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) into (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (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 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)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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 (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (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 (* (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (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 (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 a2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a2 2)) (/ 0 (pow a2 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 (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow a2 2))) (/ 0 a2)) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a2 2)) (/ 0 (pow a2 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 (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 th) (/ 0 th)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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 (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (/ 1 (/ 1 a2)) 2))) into (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (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 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (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 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (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 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]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 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) into (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (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 into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]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 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) into (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (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)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (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 a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) 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 (* (/ 1 a2) (/ 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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 (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (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 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)) 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)) 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 (* (/ 1 a2) (/ 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 a2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 0 a1)) 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)) 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (* (/ (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) (sqrt 2)) (/ 0 (sqrt 2)))) 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ 0 (pow a2 2))) (/ 0 a2)) 2) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ 0 th) (* (/ -1 th) (/ 0 th))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (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 (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a1))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (/ 1 (/ 1 (- a2))) 2))) into (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (pow a2 2) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 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 a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 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 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 a1)) 2) (pow (/ 1 (/ 1 a2)) 2)) into (+ (pow a1 2) (pow a2 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 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 into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 0 a2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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)) 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)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (pow (/ 1 (/ 1 (- a1))) 2) (pow (/ 1 (/ 1 (- a2))) 2)) into (+ (pow a1 2) (pow a2 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (pow (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) 1)))>
* * * * [misc]progress:  [ 2 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (exp (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (+ (* a2 a2) (* a1 a1))) (log (sqrt 2)))
* * * * [misc]progress:  [ 3 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (exp (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* * * * [misc]progress:  [ 4 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (log (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* * * * [misc]progress:  [ 5 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (cbrt (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (424 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (* (sqrt 2) 2)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (/ (+ (* a2 a2) (* a1 a1)) (* (sqrt 2) 2)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 6 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* * * * [misc]progress:  [ 7 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (cbrt (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (/ (* (sqrt 2) 2) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (/ (* (sqrt 2) 2) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 8 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* * * * [misc]progress:  [ 9 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (- (+ (* a1 a1) (* a2 a2))) (- (sqrt 2)))))>
* [enter]simplify:  Simplifying (- (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (- (* a1 (- a1)) (* a2 a2))
* [exit]simplify:  Simplified to (- (* a1 (- 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:  [ 10 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 11 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 12 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))
* * * * [misc]progress:  [ 13 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 14 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 15 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2))
* * * * [misc]progress:  [ 16 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 18 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (/ 1 1) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))
* * * * [misc]progress:  [ 19 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* * * * [misc]progress:  [ 20 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (* (+ (* a1 a1) (* a2 a2)) (/ 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 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 22 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 23 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 24 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) 1) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* * * * [misc]progress:  [ 25 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cbrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 26 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 27 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 28 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (* (* a1 a1) (sqrt 2))) (* (- (* a2 a2) (* a1 a1)) (* (* a2 a2) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (* (* a1 a1) (sqrt 2))) (* (- (* a2 a2) (* a1 a1)) (* (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 29 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (* (sqrt 2) (- (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (sqrt 2) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (487 enodes)
* [exit]simplify:  Simplified to (* (* (+ a2 a1) (- a1 a2)) (sqrt 2))
* [exit]simplify:  Simplified to (* (* (+ a2 a1) (- a1 a2)) (sqrt 2))
* * * * [misc]progress:  [ 30 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) 1))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 31 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (pow (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) 1))>
* * * * [misc]progress:  [ 32 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (cos th)) (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (* a2 a2))) (- (log (cos th)) (log (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (* a2 a2))) (- (log (cos th)) (log (sqrt 2))))
* * * * [misc]progress:  [ 33 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (+ (log (cos th)) (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 34 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (exp (log (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (log (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (log (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 35 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (log (exp (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (exp (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (exp (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 36 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (198 enodes)
* [exit]simplify:  Simplified to (* (/ (pow (cos th) 3) (* 2 (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 3))
* [exit]simplify:  Simplified to (* (/ (pow (cos th) 3) (* 2 (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 3))
* * * * [misc]progress:  [ 37 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ 2 (+ (* a1 a1) (* a2 a2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (* (cos th) (cos th))))
* [exit]simplify:  Simplified to (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ 2 (+ (* a1 a1) (* a2 a2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (* (cos th) (cos th))))
* * * * [misc]progress:  [ 38 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (cbrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))) (cbrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (cbrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))))
* [enter]simplify:  Simplifying (cbrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 39 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (cbrt (* (* (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 3)
* * * * [misc]progress:  [ 40 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (sqrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (sqrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (sqrt (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 41 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* * * * [misc]progress:  [ 42 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th)) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th)) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))
* * * * [misc]progress:  [ 43 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 44 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
* [exit]simplify:  Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
* * * * [misc]progress:  [ 45 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 46 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 47 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 48 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (sqrt (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 49 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1))
* * [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 (31 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 50 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 51 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ 1 (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ 1 (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 52 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (/ 1 1)) (/ (+ (* a1 a1) (* a2 a2)) (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:  [ 53 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) 1) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 54 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th))
* * * * [misc]progress:  [ 55 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 56 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (sqrt (cos th)) (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* [exit]simplify:  Simplified to (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * * * [misc]progress:  [ 57 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* 1 (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 58 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th))
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cos th))
* * * * [misc]progress:  [ 59 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th)))>
* * * * [misc]progress:  [ 60 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (log (* (exp (* a1 a1)) (exp (* a2 a2)))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (exp (* a1 a1)) (exp (* a2 a2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 61 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (pow (+ (* a1 a1) (* a2 a2)) 1) (sqrt 2))))>
* * * * [misc]progress:  [ 62 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (exp (log (+ (* a1 a1) (* a2 a2)))) (sqrt 2))))>
* [enter]simplify:  Simplifying (log (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (log (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (log (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 63 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (log (exp (+ (* a1 a1) (* a2 a2)))) (sqrt 2))))>
* [enter]simplify:  Simplifying (exp (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (exp (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 64 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [exit]simplify:  Simplified to (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (cbrt (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 65 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (pow (+ (* a2 a2) (* a1 a1)) 3)
* [exit]simplify:  Simplified to (pow (+ (* a2 a2) (* a1 a1)) 3)
* * * * [misc]progress:  [ 66 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* [exit]simplify:  Simplified to (sqrt (+ (* a2 a2) (* a1 a1)))
* * * * [misc]progress:  [ 67 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (+ (pow (* a2 a2) 3) (* (pow a1 3) (pow a1 3)))
* [exit]simplify:  Simplified to (+ (pow (* a2 a2) 3) (* (pow a1 3) (pow a1 3)))
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (- (* a1 a1) (* a2 a2))) (* (* a2 a2) (* a2 a2)))
* * * * [misc]progress:  [ 68 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (* 1 (+ (* a1 a1) (* a2 a2))) (sqrt 2))))>
* * * * [misc]progress:  [ 69 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2))) (sqrt 2))))>
* [enter]simplify:  Simplifying (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* [exit]simplify:  Simplified to (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
* [exit]simplify:  Simplified to (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (- (* a1 a1) (* a2 a2))
* [exit]simplify:  Simplified to (- (* a1 a1) (* a2 a2))
* * * * [misc]progress:  [ 70 / 79 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))))>
* * * * [misc]progress:  [ 71 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (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 (59 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 72 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (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 (59 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 73 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (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 (59 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 74 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* * * * [misc]progress:  [ 75 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 76 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (pow a2 2)) (sqrt 2)) (/ (* (cos th) (pow a1 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * * * [misc]progress:  [ 77 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 78 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 79 / 79 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (* (cos th) (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (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) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))> #<alt-delta (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1))))> #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> #<alt-delta (λ (a1 a2 th) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))> #<alt-delta (λ (a1 a2 th) (/ (* (cos th) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))) (* (sqrt 2) (- (* a2 a2) (* a1 a1)))))> #<alt-delta (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))> #<alt-delta (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))> #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))> #<alt-delta (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a2 a2) (* a1 a1)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (/ (cos th) (sqrt 2)) +nan.0)) , with alts (#<alt-delta (λ (a1 a2 th) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2))) (cos th))))>)
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3524 additional inputs, on iter 1 have 4476 / 8000
* * * * [misc]points:  Computing exacts on every 220 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 110 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 55 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 27 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 13 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 6 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 3524 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 3524 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1560 additional inputs, on iter 2 have 6440 / 8000
* * * * [misc]points:  Computing exacts on every 97 of 1560 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 48 of 1560 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 24 of 1560 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 12 of 1560 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 6 of 1560 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 1560 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 1560 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 660 additional inputs, on iter 3 have 7340 / 8000
* * * * [misc]points:  Computing exacts on every 41 of 660 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 20 of 660 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 10 of 660 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 5 of 660 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 660 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 660 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 312 additional inputs, on iter 4 have 7688 / 8000
* * * * [misc]points:  Computing exacts on every 19 of 312 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 9 of 312 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 4 of 312 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 2 of 312 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 312 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 126 additional inputs, on iter 5 have 7874 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 126 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 3 of 126 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 126 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 54 additional inputs, on iter 6 have 7946 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 54 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 54 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 25 additional inputs, on iter 7 have 7975 / 8000
* * * * [misc]points:  Computing exacts for 25 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6 additional inputs, on iter 8 have 7994 / 8000
* * * * [misc]points:  Computing exacts for 6 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 9 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 10 have 7999 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8002 points with exact outputs