* [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 116 additional inputs, on iter 1 have 140 / 256
* * * * [misc]points:  Computing exacts on every 7 of 116 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 116 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 116 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 52 additional inputs, on iter 2 have 204 / 256
* * * * [misc]points:  Computing exacts on every 3 of 52 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 52 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 26 additional inputs, on iter 3 have 230 / 256
* * * * [misc]points:  Computing exacts for 26 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 12 additional inputs, on iter 4 have 244 / 256
* * * * [misc]points:  Computing exacts for 12 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6 additional inputs, on iter 5 have 250 / 256
* * * * [misc]points:  Computing exacts for 6 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 6 have 255 / 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 259 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (+ (pow a2 2) (pow a1 2))) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (- (log (cos th)) (log (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (log (cos th)) (log (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (log (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (log (exp (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (- (cos th)) (- (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cos th) (/ 1 (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (/ (sqrt 2) (cos th))) (+ (* a1 a1) (* a2 a2))))>
* * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 1))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1))
* * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) 1))>
* * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))))
* * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (log (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a2 a2) (* a1 a1))) (log (/ (cos th) (sqrt 2))))))
* * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* (sqrt 2) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (pow (+ (* a2 a2) (* a1 a1)) 3) (/ (pow (cos th) 3) (* (sqrt 2) 2)))))
* * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (208 enodes)
* [exit]simplify:  Simplified to (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (/ (cos th) (sqrt 2)) 3))))
* * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th)))) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* [enter]simplify:  Simplifying (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (+ (* (* a1 a1) (* (* a1 a1) (sqrt 2))) (* (* (* a2 a2) (sqrt 2)) (- (* a2 a2) (* a1 a1))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a1 a1) (* (* a1 a1) (sqrt 2))) (* (* (* a2 a2) (sqrt 2)) (- (* a2 a2) (* a1 a1))))))
* * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt 2) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (sqrt 2) (- (* a1 a1) (* a2 a2)))))
* [enter]simplify:  Simplifying (* (sqrt 2) (- (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* [exit]simplify:  Simplified to (* (* (+ a1 a2) (sqrt 2)) (- a1 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (+ a1 a2) (sqrt 2)) (- a1 a2))))
* * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (* a2 a2) (/ (sqrt 2) (cos th)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* a2 a2) (/ (sqrt 2) (cos th)))))
* * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (* (* a2 a2) (/ (cos th) (sqrt 2)))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))))
* * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (cos th) (sqrt 2)) 1) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (* (/ 1 (sqrt 2)) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (- (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ a1 a2) (- a1 a2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (/ (cos th) (sqrt 2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (+ a1 a2) (- a1 a2))))
* * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))))>
* * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (* (exp (* a1 a1)) (exp (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (exp (* a1 a1)) (exp (* a2 a2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (exp (+ (* a1 a1) (* a2 a2))))))
* * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (pow (+ (* a1 a1) (* a2 a2)) 1)))>
* * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (exp (log (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (log (exp (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (* 1 (+ (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)))))>
* * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))>
* * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
* * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a2 2) (pow a1 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a2 2) (pow a1 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (pow a2 2) (pow a1 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 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) (+ (* a1 a1) (* a2 a2))) 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)) 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 (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* (cos th) (pow a1 2)) into (* (pow a1 2) (cos th))
* [misc]backup-simplify:  Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2)) into (/ (* (pow a1 2) (cos th)) (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) (+ (* a1 a1) (* a2 a2))) 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)) 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 (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (cos th) (pow a2 2)) into (* (cos th) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2)) into (/ (* (cos th) (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) (+ (* a1 a1) (* a2 a2))) 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)) 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 a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 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) (+ (* a1 a1) (* a2 a2))) 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)) 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 a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))) (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (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]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 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)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 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 a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 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 a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 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))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- 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 a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- 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 a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow 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 (* 1/2 (pow a2 2)) into (* 1/2 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (pow a2 2))) into (* 1/2 (pow a2 2))
* [misc]backup-simplify:  Simplify (- (* 1/2 (pow a2 2))) into (- (* 1/2 (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (pow a2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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 (pow (* a2 (* 1 1)) 2)) (* 1 (pow (* 1 (* a1 1)) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 (/ 1 th))) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (cos (/ 1 (/ 1 th))) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 (/ 1 (- th)))) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (cos (/ -1 (/ 1 (- th)))) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1))>
* * * * [misc]progress:  [ 2 / 64 ] simplifiying candidate #<alt (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 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a2 a2) (* a1 a1))) (- (log (cos th)) (log (sqrt 2))))))
* * * * [misc]progress:  [ 3 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (sqrt 2)))))>
* [enter]simplify:  Simplifying (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a1 a1) (* a2 a2))) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (+ (* a1 a1) (* a2 a2))) (- (log (cos th)) (log (sqrt 2))))))
* * * * [misc]progress:  [ 4 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))))>
* * * * [misc]progress:  [ 5 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))))>
* * * * [misc]progress:  [ 6 / 64 ] simplifiying candidate #<alt (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 (238 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (/ (* 2 (sqrt 2)) (pow (cos th) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (/ (* 2 (sqrt 2)) (pow (cos th) 3)))))
* * * * [misc]progress:  [ 7 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (166 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (/ (* (sqrt 2) 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (/ (* (sqrt 2) 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))))))
* * * * [misc]progress:  [ 8 / 64 ] simplifiying candidate #<alt (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)))))>
* * * * [misc]progress:  [ 9 / 64 ] simplifiying candidate #<alt (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)))))>
* * * * [misc]progress:  [ 10 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))))>
* * * * [misc]progress:  [ 11 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (- (* (cos th) (+ (* a1 a1) (* a2 a2)))) (- (sqrt 2))))>
* * * * [misc]progress:  [ 12 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))>
* [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))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 13 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (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)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 14 / 64 ] simplifiying candidate #<alt (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 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* [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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
* * * * [misc]progress:  [ 15 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))))>
* * * * [misc]progress:  [ 16 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt 2))))>
* * * * [misc]progress:  [ 17 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ 1 (/ (sqrt 2) (* (cos th) (+ (* a1 a1) (* a2 a2))))))>
* * * * [misc]progress:  [ 18 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 19 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (sqrt (sqrt 2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 20 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (sqrt 2)))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (sqrt 2)))
* * * * [misc]progress:  [ 21 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 22 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th)))) (* (sqrt 2) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))))
* * * * [misc]progress:  [ 23 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt 2) (- (* a1 a1) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (sqrt 2) (- (* a1 a1) (* a2 a2)))))
* * * * [misc]progress:  [ 24 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (pow (* (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 (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (pow (* (+ (* a1 a1) (* a2 a2)) (cos th)) 1) (sqrt 2)))
* * * * [misc]progress:  [ 25 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (pow (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (sqrt 2)))>
* * * * [misc]progress:  [ 26 / 64 ] simplifiying candidate #<alt (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))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (log (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (+ (log (+ (* a2 a2) (* a1 a1))) (log (cos th)))) (sqrt 2)))
* * * * [misc]progress:  [ 27 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (exp (log (* (cos th) (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 28 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (log (exp (* (cos th) (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 29 / 64 ] simplifiying candidate #<alt (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)))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (169 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (pow (cos th) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (pow (cos th) 3)))) (sqrt 2)))
* * * * [misc]progress:  [ 30 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 31 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (cbrt (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 32 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 33 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* 1 (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))>
* * * * [misc]progress:  [ 34 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (cos th) (* a1 a1)) (* (cos th) (* a2 a2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (cos th) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (+ (* (cos th) (* a1 a1)) (* (* a2 a2) (cos th))) (sqrt 2)))
* * * * [misc]progress:  [ 35 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (* a1 a1) (cos th)) (* (* a2 a2) (cos th))) (sqrt 2)))>
* [enter]simplify:  Simplifying (* (* a2 a2) (cos th))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (cos th) (* a2 a2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (+ (* (* a1 a1) (cos th)) (* (cos th) (* a2 a2))) (sqrt 2)))
* * * * [misc]progress:  [ 36 / 64 ] simplifiying candidate #<alt (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)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (cos th) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))
* * * * [misc]progress:  [ 37 / 64 ] simplifiying candidate #<alt (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 (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))
* * * * [misc]progress:  [ 38 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (cos th) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (* (cos th) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2)))
* * * * [misc]progress:  [ 39 / 64 ] simplifiying candidate #<alt (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)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))
* * * * [misc]progress:  [ 40 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (sqrt (cos th)) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (sqrt (cos th)) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))
* * * * [misc]progress:  [ 41 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* 1 (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))>
* * * * [misc]progress:  [ 42 / 64 ] simplifiying candidate #<alt (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 (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))) (sqrt 2)))
* * * * [misc]progress:  [ 43 / 64 ] simplifiying candidate #<alt (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) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ a1 a2) (- a1 a2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (+ a1 a2) (- a1 a2))) (sqrt 2)))
* * * * [misc]progress:  [ 44 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2)))>
* * * * [misc]progress:  [ 45 / 64 ] simplifiying candidate #<alt (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)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (a1 a2 th) (/ (* (cos th) (log (exp (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))
* * * * [misc]progress:  [ 46 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (pow (+ (* a1 a1) (* a2 a2)) 1)) (sqrt 2)))>
* * * * [misc]progress:  [ 47 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (exp (log (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 48 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (log (exp (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 49 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 50 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 51 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 2)))>
* * * * [misc]progress:  [ 52 / 64 ] simplifiying candidate #<alt (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)))>
* * * * [misc]progress:  [ 53 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (* 1 (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))>
* * * * [misc]progress:  [ 54 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)))) (sqrt 2)))>
* * * * [misc]progress:  [ 55 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))>
* * * * [misc]progress:  [ 56 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 57 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 58 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 59 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))
* * * * [misc]progress:  [ 60 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))
* * * * [misc]progress:  [ 61 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))
* * * * [misc]progress:  [ 62 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))
* * * * [misc]progress:  [ 63 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))
* * * * [misc]progress:  [ 64 / 64 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2)))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* (cos th) (pow a1 2)) into (* (pow a1 2) (cos th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow a1 2) (cos th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (sqrt 2) 1/3)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (cos th) (pow a2 2)) into (* (cos th) (pow a2 2))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos th) (pow a2 2)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (pow (sqrt 2) 1/3)) into (/ (* (cos th) (pow a2 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (pow (sqrt 2) 1/3)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (pow (sqrt 2) 1/3)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))) (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into (- (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))))) (pow (sqrt 2) 1/3)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* (- (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (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)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (sqrt 2) 1/3)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (sqrt 2) 1/3)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (sqrt 2) 1/3)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (sqrt 2) 1/3)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (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))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) (pow (sqrt 2) 1/3)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) (pow (sqrt 2) 1/3)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (pow (sqrt 2) 1/3)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (pow (sqrt 2) 1/3)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* (cos th) (pow a1 2)) into (* (pow a1 2) (cos th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow a1 2) (cos th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (cos th) (pow a2 2)) into (* (cos th) (pow a2 2))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos th) (pow a2 2)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (pow a2 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))) (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into (- (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))
* [misc]backup-simplify:  Simplify (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))) into (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))) into (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 1) (+ (* 0 0) (* 0 (pow a2 2)))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 2)) 1/3) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 1) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 2)) 1/3) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* (- (+ (* 1/2 (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (pow a2 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow (* a2 (* 1 1)) 2)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow (* 1 (* a1 1)) 2))) into (+ (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (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)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1 th)) (pow a2 2)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2) 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1 th)) (pow a2 2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (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))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2) 1/3) (pow (sqrt 2) 1/3)) into (pow (pow (sqrt 2) 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 2) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (* 0 (pow (sqrt 2) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 2) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 2))) into (log (/ 1 (pow (sqrt 2) 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow (sqrt 2) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) into (pow (/ 1 (pow (sqrt 2) 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2) 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 2)) (/ 0 (pow (sqrt 2) 2))) (* 0 (/ 0 (pow (sqrt 2) 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ -1 (/ 1 (- th)))) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (cos (/ -1 (/ 1 (- th))))) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (cos th) (+ (* a1 a1) (* a2 a2))) 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)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (* 1 (+ (pow a2 2) (pow a1 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (+ (pow a2 2) (pow a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (+ (pow a2 2) (pow a1 2))))) into (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow 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 (* 1/2 (pow a2 2)) into (* 1/2 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (pow a2 2))) into (* 1/2 (pow a2 2))
* [misc]backup-simplify:  Simplify (- (* 1/2 (pow a2 2))) into (- (* 1/2 (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]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 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (+ (pow a2 2) (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (pow a2 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]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 (pow (* a2 (* 1 1)) 2)) (* 1 (pow (* 1 (* a1 1)) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) 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))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 (/ 1 th))) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (cos (/ 1 (/ 1 th))) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) 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)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in th
* [misc]taylor:  Taking taylor expansion of (- a2) in th
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 (/ 1 (- th)))) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (cos (/ -1 (/ 1 (- th)))) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (+ (* a1 a1) (* a2 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* a2 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a2
* [misc]taylor:  Taking taylor expansion of (- a1) in a2
* [misc]taylor:  Taking taylor expansion of a1 in a2
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in a2
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 1))>
* * * * [misc]progress:  [ 2 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (- (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (357 enodes)
* [exit]simplify:  Simplified to (- (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cbrt (sqrt 2))) (log (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cbrt (sqrt 2))) (log (cos th))))))
* * * * [misc]progress:  [ 3 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (- (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (- (- (+ (log (+ (* a2 a2) (* a1 a1))) (log (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (+ (log (+ (* a2 a2) (* a1 a1))) (log (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 4 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (- (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* [exit]simplify:  Simplified to (- (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 5 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (- (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* [exit]simplify:  Simplified to (- (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 6 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (- (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (348 enodes)
* [exit]simplify:  Simplified to (- (log (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (log (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 7 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 8 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 9 / 129 ] simplifiying candidate #<alt (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 (41 enodes)
* * [misc]simplify:  iters left: 4 (206 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (/ (* (sqrt 2) 2) (pow (cos th) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (/ (* (sqrt 2) 2) (pow (cos th) 3)))))
* * * * [misc]progress:  [ 10 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (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)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (351 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (* (sqrt 2) (* (sqrt 2) (sqrt 2)))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (cos th) (cos th)) (* (sqrt 2) (* (sqrt 2) (sqrt 2)))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (cos th))))))
* * * * [misc]progress:  [ 11 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (/ (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (sqrt 2) (sqrt 2))) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (sqrt 2) (sqrt 2))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* 2 (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* 2 (sqrt 2))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (cos th))))))
* * * * [misc]progress:  [ 12 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (/ (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))))))
* * * * [misc]progress:  [ 13 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (/ (* (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (168 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt 2)) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt 2)) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 14 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 15 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 16 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (sqrt (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 17 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (- (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (cbrt (sqrt 2)))))>
* * * * [misc]progress:  [ 18 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 19 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 20 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt 1)) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt 1)) (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 21 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 22 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 23 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 1) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 24 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 25 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 26 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 27 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (172 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 28 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 29 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (172 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 30 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (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) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 31 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (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) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))
* * * * [misc]progress:  [ 32 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt 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) (cbrt 1)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt 1)) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 33 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 34 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (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) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 35 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (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) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 36 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 37 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (393 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (cbrt (sqrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 38 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (cbrt 1)) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (cbrt 1)) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (cbrt 1)) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))))
* * * * [misc]progress:  [ 39 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 40 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ 1 (sqrt (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 41 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 1) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (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
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* 1 (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* 1 (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))))
* * * * [misc]progress:  [ 42 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [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 (22 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 43 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (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 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 44 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (cbrt 1)) (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cos th) (cbrt 1)) (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ 1 (sqrt 2))))
* * * * [misc]progress:  [ 45 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [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 (22 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 46 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [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 (22 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 47 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (/ 1 (sqrt 2))))
* * * * [misc]progress:  [ 48 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))>
* * * * [misc]progress:  [ 49 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (cbrt (sqrt 2)))))>
* * * * [misc]progress:  [ 50 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ 1 (/ (cbrt (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 51 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 52 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 53 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt 1)) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt 1)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 54 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 55 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 56 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 57 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 58 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (sqrt (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 59 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (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)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 60 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ 1 (/ (cbrt (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 61 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2)) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (/ (cbrt (sqrt 2)) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 62 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 63 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (pow (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 64 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (exp (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (- (log (cbrt (sqrt 2))) (log (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (- (log (cbrt (sqrt 2))) (log (cos th))))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 65 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (exp (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (- (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (- (log (cos th)) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (+ (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (- (log (cos th)) (log (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 66 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (exp (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 67 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (exp (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (- (log (* (cos th) (+ (* a1 a1) (* a2 a2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (exp (- (log (* (+ (* a1 a1) (* a2 a2)) (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 68 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (exp (log (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 69 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (log (exp (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 70 / 129 ] simplifiying candidate #<alt (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)))) (cbrt (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)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (pow (+ (* a1 a1) (* a2 a2)) 3))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (pow (+ (* a1 a1) (* a2 a2)) 3))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 71 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (cbrt (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (313 enodes)
* [exit]simplify:  Simplified to (* (/ (pow (cos th) 3) (* (sqrt 2) (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 3))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (/ (pow (cos th) 3) (* (sqrt 2) (sqrt 2))) (pow (+ (* a1 a1) (* a2 a2)) 3))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 72 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (cbrt (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (sqrt 2) (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (sqrt 2) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (/ (/ 2 (cos th)) (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (/ (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (/ (/ 2 (cos th)) (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 73 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (cbrt (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (235 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (cbrt (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))) (* (+ (* a1 a1) (* a2 a2)) (cos th)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 74 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 75 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (cbrt (* (* (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 76 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 77 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (- (* (cos th) (+ (* a1 a1) (* a2 a2)))) (- (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 78 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (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)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 79 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 80 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 81 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cos th) (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 82 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 83 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 84 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (+ (* (* (* a2 a2) (* a2 a2)) (* (cos th) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th)))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 85 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (- (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (442 enodes)
* [exit]simplify:  Simplified to (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (- (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 86 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (pow (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (/ (/ (pow (* (+ (* a1 a1) (* a2 a2)) (cos th)) 1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 87 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (pow (* (cos th) (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 88 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (exp (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (log (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (* a2 a2) (* a1 a1))) (log (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (/ (/ (exp (+ (log (+ (* a2 a2) (* a1 a1))) (log (cos th)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 89 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (exp (log (* (cos th) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 90 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (log (exp (* (cos th) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 91 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (cbrt (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (169 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (pow (cos th) 3)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (/ (/ (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (pow (cos th) 3)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 92 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (* (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 93 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (cbrt (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 94 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cos th) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 95 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* 1 (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 96 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (+ (* (cos th) (* a1 a1)) (* (cos th) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (+ (* (cos th) (* a1 a1)) (* (* a2 a2) (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 97 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (+ (* (* a1 a1) (cos th)) (* (* a2 a2) (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* a2 a2) (cos th))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* [exit]simplify:  Simplified to (* (cos th) (* a2 a2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (+ (* (* a1 a1) (cos th)) (* (cos th) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 98 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (* (cos th) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (cbrt (+ (* a1 a1) (* a2 a2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (* (* (cos th) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 99 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (* (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 100 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (* (cos th) 1) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (* (* (cos th) 1) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 101 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (/ (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 102 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (sqrt (cos th)) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (/ (/ (* (sqrt (cos th)) (* (sqrt (cos th)) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 103 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* 1 (* (cos th) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 104 / 129 ] simplifiying candidate #<alt (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))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* [exit]simplify:  Simplified to (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 105 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (- (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (- (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (+ a1 a2) (- a1 a2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (/ (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (+ a1 a2) (- a1 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 106 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 107 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (log (* (exp (* a1 a1)) (exp (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (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)))
* [misc]simplify:  Simplified (2 1 1 2 1) to (λ (a1 a2 th) (/ (/ (* (cos th) (log (exp (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 108 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (pow (+ (* a1 a1) (* a2 a2)) 1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 109 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (exp (log (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 110 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (log (exp (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 111 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 112 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (cbrt (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 113 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 114 / 129 ] simplifiying candidate #<alt (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)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 115 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (* 1 (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 116 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (- (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 117 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* * * * [misc]progress:  [ 118 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 119 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 120 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 121 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)) (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 1 2)) (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (cbrt (/ 1 2)) (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 122 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 2))) (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 123 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1 (pow (sqrt 2) 2)) 1/3) (* (cos th) (pow a2 2))) (* (* (pow a1 2) (cos th)) (pow (/ 1 (pow (sqrt 2) 2)) 1/3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 2))) (cos th))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (* (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 2))) (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 124 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (+ (pow a2 2) (pow a1 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 125 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 126 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cos th) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 127 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 128 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 129 / 129 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (pow a2 2) (pow a1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (+ (* a2 a2) (* a1 a1))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
* * * * [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) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 2) 1/9)) into (pow (/ 1 (pow (sqrt 2) 5)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 2) 1/9)) into (pow (/ 1 (pow (sqrt 2) 5)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 5)) 1/9) into (pow (/ 1 (pow (sqrt 2) 5)) 1/9)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3))) (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9)))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (* 1/24 (pow (/ 1 (sqrt 2)) 1/3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* 1/24 (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into (* 1/24 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]backup-simplify:  Simplify (* 1/24 (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) into (* 1/24 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (pow th 4)) (+ (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) (pow th 2)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) into (- (+ (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (* 1/24 (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (pow th 4)))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (pow th 2))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (sqrt 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (sqrt 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (sqrt 2) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (sqrt 2) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (sqrt 2) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (sqrt 2) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 th))) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th))
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) into (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (sqrt 2) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (sqrt 2) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (sqrt 2) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (sqrt 2) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- th)))) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (cbrt (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 (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos th))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos th)) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (pow (sqrt 2) 1/3)) into (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos th))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos th)) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 2) 1/9)) into (pow (/ 1 (pow (sqrt 2) 5)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 2) 1/9)) into (pow (/ 1 (pow (sqrt 2) 5)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ (pow a1 2) (pow a2 2)) into (+ (pow a2 2) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (+ (pow a2 2) (pow a1 2)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2)))
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2)))) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (pow a2 2) 0) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3))) (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9)))
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) 0) (+ (* 0 0) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2)))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (pow a2 2) (sqrt 2))) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (- (* 1/2 (pow (/ 1 (sqrt 2)) 1/3))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) 0) (+ (* 0 0) (+ (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 5)) 1/9))) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (pow a2 2) (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a2 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log a2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (cbrt (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 (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (sqrt 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (sqrt 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (sqrt 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (pow (sqrt 2) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 2) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2)) 1/3)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in (th a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (cbrt (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 (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (* (pow (pow (sqrt 2) 1/3) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (pow (sqrt 2) 2) 1/9)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (pow (pow (sqrt 2) 2) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in th
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in th
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in th
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of 1/3 in th
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
* [misc]backup-simplify:  Simplify (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a1
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log a2))) in a1
* [misc]taylor:  Taking taylor expansion of (* 2 (log a2)) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (log a2) into (log a2)
* [misc]backup-simplify:  Simplify (* 2 (log a2)) into (* 2 (log a2))
* [misc]backup-simplify:  Simplify (exp (* 2 (log a2))) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a1 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log a2))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow (sqrt 2) 1/3) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (sqrt 2) 1/3) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 2) 1/9)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))) (* 0 (/ 0 (pow (pow (sqrt 2) 2) 1/9))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos (/ -1 th))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log a2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log a2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (pow (sqrt 2) 1/3)) into (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (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 (log (/ 1 (sqrt 2))) into (log (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (sqrt 2)))) into (* 1/3 (log (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (sqrt 2))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (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 (log (/ 1 (sqrt 2))) into (log (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (sqrt 2)))) into (* 1/3 (log (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (sqrt 2))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (sqrt 2)) 1/3) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/3) 1) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (sqrt 2)) 1/3) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) (pow (* a2 1) 2)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow (* 1 a1) 2))) into (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (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 (log (/ 1 (sqrt 2))) into (log (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (sqrt 2)))) into (* 1/3 (log (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (sqrt 2))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (pow a2 2)) (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (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 (log (/ 1 (sqrt 2))) into (log (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (sqrt 2)))) into (* 1/3 (log (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (sqrt 2))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/3) 1) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (sqrt 2)) 1/3) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (sqrt 2)) 1/3) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) 0) (* 0 1)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (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 (log (/ 1 (sqrt 2))) into (log (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (sqrt 2)))) into (* 1/3 (log (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (sqrt 2))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (pow a2 2)) (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (sqrt 2)) 1/3) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (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 (log (/ 1 (sqrt 2))) into (log (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (sqrt 2)))) into (* 1/3 (log (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (sqrt 2))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (sqrt 2)) 1/3) 1) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (sqrt 2)) 1/3) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (sqrt 2)) 1/3) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) 0) (* 0 1)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/3) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow a1 2) 0) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (pow (sqrt 2) 1/3)) into (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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 (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow a2 2)) into (pow a2 2)
* [misc]backup-simplify:  Simplify (/ (pow a2 2) (pow (sqrt 2) 1/3)) into (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (pow (pow (sqrt 2) 1/3) 1/3)) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 4)) 1/9) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/9 in a2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 4))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 4) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 4 in a2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 4))) into (log (/ 1 (pow (sqrt 2) 4)))
* [misc]backup-simplify:  Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 4)) 1/9) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/9 in a2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 4))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 4) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 4 in a2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 4))) into (log (/ 1 (pow (sqrt 2) 4)))
* [misc]backup-simplify:  Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 4)) 1/9) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 1) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 4)) 1/9) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow (* a2 1) 2)) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow (* 1 a1) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (cbrt (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 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (/ 1 a2) into (/ 1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 4)) 1/9) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/9 in a2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 4))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 4) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 4 in a2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 4))) into (log (/ 1 (pow (sqrt 2) 4)))
* [misc]backup-simplify:  Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (pow a2 2)) (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 4)) 1/9) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/9 in a2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 4))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 4) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 4 in a2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 4))) into (log (/ 1 (pow (sqrt 2) 4)))
* [misc]backup-simplify:  Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 1) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 4)) 1/9) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 4)) 1/9) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))) (* 0 (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 4)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))) (* 0 (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 4)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in (a1 a2) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a2
* [misc]taylor:  Taking taylor expansion of (- a2) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a2
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a2
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/3 in a2
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (cbrt (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 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a2)) in a1
* [misc]taylor:  Taking taylor expansion of (- a2) in a1
* [misc]taylor:  Taking taylor expansion of a2 in a1
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (/ 1 (- a2)) into (/ -1 a2)
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 1/3)) into (pow (/ 1 (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (cbrt (sqrt 2))) in a1
* [misc]taylor:  Rewrote expression to (pow (cbrt (sqrt 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (cbrt (sqrt 2))))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (cbrt (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (cbrt (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cbrt (sqrt 2)) in a1
* [misc]taylor:  Rewrote expression to (pow (sqrt 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/3 in a1
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3)
* [misc]backup-simplify:  Simplify (log (pow (sqrt 2) 1/3)) into (log (pow (sqrt 2) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (log (pow (sqrt 2) 1/3))) into (* 1/3 (log (pow (sqrt 2) 1/3)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) into (pow (pow (sqrt 2) 1/3) 1/3)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 (sqrt 2)) 1/3) (pow (pow (sqrt 2) 1/3) 1/3)) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 4)) 1/9) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/9 in a2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 4))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 4) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 4 in a2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 4))) into (log (/ 1 (pow (sqrt 2) 4)))
* [misc]backup-simplify:  Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (pow (sqrt 2) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow a2 2))) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (pow a2 2)) (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2)))
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2))) in a2
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 4)) 1/9) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) in a2
* [misc]taylor:  Taking taylor expansion of 1/9 in a2
* [misc]backup-simplify:  Simplify 1/9 into 1/9
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 4))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2) 4)) in a2
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2) 4) in a2
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 4 in a2
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2)) into (log (sqrt 2))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow (sqrt 2) 4))) into (log (/ 1 (pow (sqrt 2) 4)))
* [misc]backup-simplify:  Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 4)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow a2 2)) in a2
* [misc]taylor:  Taking taylor expansion of (pow a2 2) in a2
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 1) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 4)) 1/9) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (sqrt 2) 4)) 1/9) into (pow (/ 1 (pow (sqrt 2) 4)) 1/9)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (sqrt 2) 1/3)) (+ (* (pow (/ 1 (sqrt 2)) 1/3) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))) (* (* (pow (/ 1 (sqrt 2)) 1/3) (/ 1 (pow a2 2))) (/ 0 (pow (sqrt 2) 1/3))) (* 0 (/ 0 (pow (sqrt 2) 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (sqrt 2) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (sqrt 2) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (sqrt 2) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (sqrt 2) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (sqrt 2) 1/3) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (sqrt 2) 1/3))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (pow (sqrt 2) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (pow (sqrt 2) 1/3) 1/3)) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (/ 1 (pow a2 2))) (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))) (* 0 (/ 0 (pow (pow (sqrt 2) 1/3) 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))) (* 0 (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 4)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2) 4)) (/ 0 (pow (sqrt 2) 4))) (* 0 (/ 0 (pow (sqrt 2) 4))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 4)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 4)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 4))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (pow (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 2 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (- (- (log (cos th)) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 3 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 4 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 5 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (exp (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 6 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (exp (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 7 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (log (exp (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 8 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (334 enodes)
* [exit]simplify:  Simplified to (/ (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 9 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 10 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (265 enodes)
* * [misc]simplify:  iters left: 1 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cos th) (sqrt 2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (* (cos th) (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (/ (/ (/ (cos th) (sqrt 2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (* (cos th) (cos th))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 11 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 12 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 13 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (cbrt (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 14 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 15 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (- (/ (cos th) (cbrt (sqrt 2)))) (- (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 16 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (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) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (cbrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 17 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 18 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 19 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 20 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 1)) (cbrt (cbrt (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)) (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (cbrt (cos th)) (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (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 (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 21 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 22 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (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)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 23 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (cbrt (cbrt (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 (117 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (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 (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 24 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 25 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 26 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (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)) (cbrt 1)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (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 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 27 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 28 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (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)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (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)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 29 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (sqrt (cos th)) 1) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (cbrt (cbrt (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)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (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 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 30 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [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 (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 31 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [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 (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (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) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 32 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (cbrt (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 (cbrt 1)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (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) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 33 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (cbrt (sqrt 2))) (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (cbrt (sqrt 2))) (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 34 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (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) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 35 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ 1 1) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (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) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 36 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (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) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 37 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 38 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* 1 (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 39 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 40 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 41 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 42 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 43 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cos th) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cos th) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 44 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (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)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 45 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (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 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 46 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 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)) (cbrt 1)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt 1)) (cbrt (cos th))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 47 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 48 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (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 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 49 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 50 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 51 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 52 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 53 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 54 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (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))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 55 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 56 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 57 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 58 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (cbrt 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 59 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 60 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 61 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 62 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 63 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ 1 (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ 1 (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 64 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 65 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1))>
* [enter]simplify:  Simplifying (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (pow (cbrt (cbrt (sqrt 2))) 3))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (pow (/ (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (pow (cbrt (cbrt (sqrt 2))) 3)) 1))
* * * * [misc]progress:  [ 66 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (pow (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1))>
* * * * [misc]progress:  [ 67 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (+ (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 68 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (386 enodes)
* [exit]simplify:  Simplified to (- (+ (- (log (cos th)) (log (cbrt (cbrt (sqrt 2))))) (- (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (+ (- (log (cos th)) (log (cbrt (cbrt (sqrt 2))))) (- (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 69 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (+ (- (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 70 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (433 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (cbrt (sqrt 2))))) (+ (- (log (cbrt (sqrt 2))) (- (log (cos th)) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (cbrt (sqrt 2))))) (+ (- (log (cbrt (sqrt 2))) (- (log (cos th)) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 71 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (- (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 72 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (253 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 73 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log (/ (cos th) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log (/ (cos th) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 74 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 75 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 76 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (347 enodes)
* [exit]simplify:  Simplified to (+ (- (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cos th) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cos th) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 77 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (+ (- (- (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cos th) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (- (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cos th) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 78 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (+ (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (- (- (log (/ (cos th) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 79 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (- (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (sqrt 2))) (log (/ (cos th) (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (- (- (- (log (+ (* a2 a2) (* a1 a1))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (sqrt 2))) (log (/ (cos th) (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 80 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (cbrt (sqrt 2)))) (- (- (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (/ (cos th) (cbrt (sqrt 2)))) (- (- (log (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 81 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (+ (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (416 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (exp (+ (log (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 82 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (exp (log (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 83 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (log (exp (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 84 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (192 enodes)
* [exit]simplify:  Simplified to (* (/ (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (pow (+ (* a2 a2) (* a1 a1)) 3) (* (cbrt (sqrt 2)) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (pow (+ (* a2 a2) (* a1 a1)) 3) (* (cbrt (sqrt 2)) (sqrt 2))))))
* * * * [misc]progress:  [ 85 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 86 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 87 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (229 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (pow (+ (* a2 a2) (* a1 a1)) 3)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (pow (+ (* a2 a2) (* a1 a1)) 3)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (sqrt 2))))))
* * * * [misc]progress:  [ 88 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (185 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))) (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 89 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (cos th) (cos th)) (cos th)) (sqrt 2)) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (185 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 90 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 91 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (173 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 92 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 3) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (pow (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 3) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 93 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (293 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (* (/ (cos th) (cbrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (* (/ (cos th) (cbrt (sqrt 2))) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))))))
* * * * [misc]progress:  [ 94 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (245 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 95 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (243 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (pow (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) 3) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (pow (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) 3) (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 96 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (/ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 97 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (184 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 98 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (185 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (cbrt (* (/ (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2))))) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))))
* * * * [misc]progress:  [ 99 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 100 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (cbrt (* (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 101 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 102 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 103 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 104 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (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 (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 105 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 106 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 107 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 108 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 109 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 110 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 111 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 112 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 113 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 114 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 115 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 116 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 117 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 118 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 119 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 120 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 121 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 122 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 123 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) 1)) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) 1)) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 124 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 125 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 126 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 127 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 128 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 129 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 130 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 131 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 132 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 133 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 134 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 135 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 136 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 137 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 138 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 139 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 140 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 141 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 142 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 143 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 144 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt 1)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 145 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 146 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 147 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 148 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 149 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 150 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 151 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 152 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 153 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 154 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 155 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 156 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 157 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 158 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 159 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 160 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 161 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 162 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 163 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 164 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 165 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 166 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 167 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 168 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 169 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 170 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 171 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt 1)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt 1)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 172 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 173 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 174 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 175 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 176 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 177 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 178 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 179 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 180 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 181 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 182 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 183 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 184 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 185 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 186 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 187 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 188 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 189 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 190 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 191 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 192 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 193 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 194 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 195 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 196 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 197 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 198 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt 1)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 199 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 200 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 201 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 202 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 203 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 204 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 205 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 206 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 207 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 208 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 209 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 210 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 211 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 212 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 213 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 214 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 215 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 216 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 217 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 218 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 219 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 220 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 221 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 222 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 223 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 224 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 225 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt 1)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt 1)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 226 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 227 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 228 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 229 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 230 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 231 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 232 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 233 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 234 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 235 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 236 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 237 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 238 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 239 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 240 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 241 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 242 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 243 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 244 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 245 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 246 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 247 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 248 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 249 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 250 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 251 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 252 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 253 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 254 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 255 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 256 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 257 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 258 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 259 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 260 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 261 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 262 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 263 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 264 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 265 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 266 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 267 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 268 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 269 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 270 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 271 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 272 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 273 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 274 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 275 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 276 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 277 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 278 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 279 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 280 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 281 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 282 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 283 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 284 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 285 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 286 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 287 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 288 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (cbrt 1)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 289 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 290 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 291 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 292 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 293 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 294 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 295 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 296 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [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 (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 297 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1)))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1)))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 298 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 299 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (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 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 300 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 301 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 302 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (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 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 303 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) 1)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) 1)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 304 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 305 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ 1 (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ 1 (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 306 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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 (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 307 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (sqrt (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 308 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (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) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (cos th) (cbrt (sqrt 2)))))) (* (/ (cbrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 309 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 310 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 311 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 312 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt 1)) (cbrt (cbrt (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)) (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (cbrt (cos th)) (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt (cos th)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 313 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2))) (* (/ (/ (cbrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 314 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 315 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (cbrt (cbrt (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 (117 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 316 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 317 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 318 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (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)) (cbrt 1)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 319 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 320 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (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)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 321 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (sqrt (cos th)) 1) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (cbrt (cbrt (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)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (sqrt (cos th)) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 322 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [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 (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 323 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [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 (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 324 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (cbrt (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 (cbrt 1)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 325 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (cbrt (sqrt 2))) (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 326 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 327 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ 1 1) (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 328 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ 1 (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ 1 (cbrt (cbrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 329 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 330 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* 1 (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 331 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (cos th) (cbrt (sqrt 2))) (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (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)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (/ (cos th) (cbrt (sqrt 2))) (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 332 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 333 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (/ (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 334 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 335 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) 1) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 336 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (exp (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (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 (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (exp (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 337 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (exp (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 338 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (log (exp (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 339 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 340 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 341 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 342 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 343 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (- (+ (* a1 a1) (* a2 a2))) (- (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 344 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 345 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 346 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 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 (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 347 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (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 (32 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 348 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (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 (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 349 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 350 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 351 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 352 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 353 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 354 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 355 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 356 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 357 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 358 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt 1)) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt 1)) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (cbrt 1)) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 359 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 360 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))) (cbrt (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 (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 361 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ 1 1) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (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
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* 1 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* 1 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 362 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* 1 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 363 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (+ (* a1 a1) (* a2 a2)) (/ 1 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 364 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 365 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 366 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 367 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 368 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 369 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 370 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) 1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) 1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 371 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2)) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 372 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 373 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (/ (cbrt (sqrt 2)) (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt 2))))))>
* * * * [misc]progress:  [ 374 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (* (cbrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cbrt (cbrt (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 a1 3) (pow a1 3)) (* (pow a2 3) (pow a2 3)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* (pow a1 3) (pow a1 3)) (* (pow a2 3) (pow a2 3))) (* (cbrt (sqrt 2)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 375 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (* (cbrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))) (cbrt (cbrt (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) (* a2 a2)) (- (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (+ (* a1 a1) (* a2 a2)) (- (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (- (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 376 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (pow (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))>
* * * * [misc]progress:  [ 377 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (exp (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (exp (- (- (log (+ (* a1 a1) (* a2 a2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 378 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (exp (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (exp (- (log (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 379 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (exp (log (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 380 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (exp (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 381 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (* (sqrt 2) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (* (sqrt 2) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 382 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (* (cbrt (sqrt 2)) (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (pow (+ (* a1 a1) (* a2 a2)) 3) (* (cbrt (sqrt 2)) (sqrt 2))))))
* * * * [misc]progress:  [ 383 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 384 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 385 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))>
* * * * [misc]progress:  [ 386 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (- (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (- (cbrt (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 387 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 388 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 389 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 390 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 391 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 392 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1)) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1)) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 393 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 394 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 395 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) 1) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) 1)
* * [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 (39 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 396 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 397 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 398 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 399 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 400 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 401 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1)) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1)) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt 1)) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 402 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 403 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 404 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) 1) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 405 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 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 (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 406 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 407 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 408 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 409 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 410 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt 1) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt 1) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 411 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 412 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 413 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [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 (54 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (286 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 414 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 415 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 416 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 417 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 418 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 419 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 420 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 421 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 422 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) 1) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 423 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt 1) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt 1) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 424 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 425 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt 1)))
* * [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 (41 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 426 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt 1) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt 1) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 427 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 428 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt 1))
* * [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 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 429 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 430 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 431 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) 1) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 432 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 433 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 434 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 435 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 436 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 437 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 438 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (300 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 439 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 440 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 441 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 442 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 443 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 444 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 445 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 446 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 447 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 448 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 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 (+ (* a1 a1) (* a2 a2))) (* (sqrt (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 449 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) 1) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 450 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 451 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 452 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt 1))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cbrt 1))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 453 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 454 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 455 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt 1)) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (cbrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 456 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 457 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 458 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) 1) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 459 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 460 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 461 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 462 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 463 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 464 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 465 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 466 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 467 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 468 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 469 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 470 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 471 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 472 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 473 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 474 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 475 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 476 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 477 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 478 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 479 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt 1)) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt 1)) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 480 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 481 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 482 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt 1) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt 1) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 483 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 484 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 485 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 486 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 487 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 488 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 489 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 490 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 491 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 492 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 493 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 494 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 495 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 496 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 497 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 498 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 499 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 500 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (sqrt (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 501 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 502 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 503 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 504 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 505 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 506 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt 1))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 507 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 508 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 509 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (cbrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 510 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [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 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 511 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 512 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 513 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [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 (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 514 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (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 (/ (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 515 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt 1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt 1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 516 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 517 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 518 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 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 (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 519 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [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 (28 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 520 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 521 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (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 (18 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 522 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (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 (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 523 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (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 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 524 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 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 (/ (/ 1 (cbrt (cbrt 1))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt 1))) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 525 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 526 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 527 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt 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 (cbrt 1)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 528 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [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 (28 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 529 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 530 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (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 (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 531 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 532 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [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 (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 533 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 534 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 535 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [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 (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 536 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (cbrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt 1)) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 537 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (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 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt 1)) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ 1 (cbrt 1)) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 538 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [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 (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 539 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt 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 (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 540 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [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 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 541 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [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 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 542 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 543 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 544 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 545 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 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 (cbrt 1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 546 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 547 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (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 (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 548 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 549 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 550 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 551 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 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 (/ (/ 1 (cbrt (cbrt 1))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt 1))) (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 552 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 553 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (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 (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 554 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt 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 (cbrt 1)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 555 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (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 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 556 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [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 (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 557 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (cbrt (sqrt 2)))) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (cbrt (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 (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2)))) (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 558 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 559 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 560 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 561 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 562 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 563 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (cbrt 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 564 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 565 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 566 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ 1 1) 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [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
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* 1 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* 1 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 567 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 568 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 569 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (cbrt 1))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 570 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 571 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 572 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (cbrt 1)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 573 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 574 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (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 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 575 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ 1 1) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (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
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* 1 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* 1 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 576 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 577 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* * [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 (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 578 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt 1))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 579 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 580 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (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 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 581 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt 1)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 582 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 583 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (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 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 584 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) 1) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (+ (* a1 a1) (* a2 a2)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* [enter]simplify:  Simplifying (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (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 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (+ (* a1 a1) (* a2 a2)) (/ (/ 1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 585 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* 1 (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 586 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (/ 1 (cbrt (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 587 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 588 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 589 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))))
* * * * [misc]progress:  [ 590 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt 1))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt 1))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 591 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 592 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 593 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt 1)) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt 1)) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 594 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 595 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 596 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) 1) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) 1) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 597 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 598 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (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 (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 599 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 600 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 601 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt 1)) (/ (cbrt (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 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 (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 602 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (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 (32 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 603 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (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 (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 604 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (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 (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 605 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 606 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (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 (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 607 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 608 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 609 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (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 (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 610 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (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 (+ (* a1 a1) (* a2 a2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 611 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 612 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2))))))))
* * * * [misc]progress:  [ 613 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (cbrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (cbrt 1))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (cbrt 1)) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 614 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 615 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2))))))))
* * * * [misc]progress:  [ 616 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 1) (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (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
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 617 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2)))))))>
* * * * [misc]progress:  [ 618 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))))))
* * * * [misc]progress:  [ 619 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* a1 a1) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ (* a1 a1) (* a2 a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 620 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (- (+ (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (* 1/24 (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (pow th 4)))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (pow th 2)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (+ (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (* 1/24 (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (pow th 4)))) (* 1/2 (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (pow th 2))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (* (+ (* (pow th 4) 1/24) (- 1 (* th (* th 1/2)))) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (+ (* (pow th 4) 1/24) (- 1 (* th (* th 1/2)))) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 621 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (cos th) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cos th) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 622 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (* (pow (/ 1 (pow (sqrt 2) 5)) 1/9) (cos th))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (* (cos th) (pow (/ 1 (pow (sqrt 2) 5)) 1/9))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (* (* (cos th) (pow (/ 1 (pow (sqrt 2) 5)) 1/9)) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 623 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (pow a2 2) (sqrt 2)) (/ (pow a1 2) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 624 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 625 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
* [misc]simplify:  Simplified (2) to (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))))
* * * * [misc]progress:  [ 626 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 627 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 628 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2))) (cbrt (cbrt (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* (pow a1 2) (pow (/ 1 (sqrt 2)) 1/3)) (* (pow (/ 1 (sqrt 2)) 1/3) (pow a2 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (+ (* a2 a2) (* a1 a1)) (cbrt (/ 1 (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))
* * * * [misc]progress:  [ 629 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (+ (* a1 a1) (* a2 a2)) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))))
* * * * [misc]progress:  [ 630 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (+ (* a1 a1) (* a2 a2)) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))))
* * * * [misc]progress:  [ 631 / 631 ] simplifiying candidate #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))))>
* [enter]simplify:  Simplifying (+ (* (pow (/ 1 (pow (sqrt 2) 4)) 1/9) (pow a2 2)) (* (pow a1 2) (pow (/ 1 (pow (sqrt 2) 4)) 1/9)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (* (+ (* a1 a1) (* a2 a2)) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (+ (* a1 a1) (* a2 a2)) (pow (/ 1 (pow (sqrt 2) 4)) 1/9))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (a1 a2 th) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (+ (* a1 a1) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (* (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2)))> #<alt (λ (a1 a2 th) (* (/ (* (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))> #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))> #<alt (λ (a1 a2 th) (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))> #<alt (λ (a1 a2 th) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))> #<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2))) (sqrt (sqrt 2))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 th +nan.0)) , with alts (#<alt (λ (a1 a2 th) (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))>)
* [enter]simplify:  Simplifying (/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 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:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3504 additional inputs, on iter 1 have 4496 / 8000
* * * * [misc]points:  Computing exacts on every 219 of 3504 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 109 of 3504 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 54 of 3504 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 27 of 3504 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 13 of 3504 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 6 of 3504 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 3504 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 3504 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 1579 additional inputs, on iter 2 have 6421 / 8000
* * * * [misc]points:  Computing exacts on every 98 of 1579 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 49 of 1579 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 24 of 1579 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 12 of 1579 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 6 of 1579 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 1579 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 1579 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 706 additional inputs, on iter 3 have 7294 / 8000
* * * * [misc]points:  Computing exacts on every 44 of 706 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 22 of 706 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 11 of 706 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 5 of 706 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 706 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 706 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 297 additional inputs, on iter 4 have 7703 / 8000
* * * * [misc]points:  Computing exacts on every 18 of 297 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 297 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 297 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 297 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 297 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 120 additional inputs, on iter 5 have 7880 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 120 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 120 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 120 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 46 additional inputs, on iter 6 have 7954 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 46 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 46 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 19 additional inputs, on iter 7 have 7981 / 8000
* * * * [misc]points:  Computing exacts for 19 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 10 additional inputs, on iter 8 have 7990 / 8000
* * * * [misc]points:  Computing exacts for 10 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 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs