* [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 113 additional inputs, on iter 1 have 143 / 256
* * * * [misc]points:  Computing exacts on every 7 of 113 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 113 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 113 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 51 additional inputs, on iter 2 have 205 / 256
* * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 51 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 19 additional inputs, on iter 3 have 237 / 256
* * * * [misc]points:  Computing exacts for 19 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 10 additional inputs, on iter 4 have 246 / 256
* * * * [misc]points:  Computing exacts for 10 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 5 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 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 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 15 inf + 0
* * [misc]simplify:  Extracting #2: cost 32 inf + 140
* * [misc]simplify:  Extracting #3: cost 20 inf + 1176
* * [misc]simplify:  Extracting #4: cost 0 inf + 4316
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (fma 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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 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 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* 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 (* 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)) (* 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 (* 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)) (* 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 (* 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 (* a2 a2) into (pow a2 2)
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (pow a2 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 a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a2 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ 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))) 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 (+ (* a2 0) (+ (* 0 0) (* 0 a2))) 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)))) 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 a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) 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))))) 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 0) (* 0 1)) 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 (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) 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 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a2 2)))))) into (* 1/24 (/ (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/24 in a2
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [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 a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 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))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 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 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 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 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 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 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 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 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 a2) (/ 1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a2 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]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 (* (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 (* (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 (- (+ (* (/ 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 (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)))) 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 (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 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 (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))))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- (+ (* (/ 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 (+ (* 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)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* (/ 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 (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))))))) 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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 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 (- 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 (- 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 (- 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 (- 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 (- 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 a2) (/ -1 a2)) into (/ 1 (pow a2 2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a2 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]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 (* (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 (* (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 (- 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 (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)))) 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 (+ (* 1 0) (* 0 1)) 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 (- 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 (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))))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- 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 (+ (* 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)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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) 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 (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))))))) 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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 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) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ 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 a1 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) 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 a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (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 a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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 a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/24 in a1
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [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 a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 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))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 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 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 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)) 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 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)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 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)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (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 (* (sqrt 2) (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]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (- (+ (* (/ 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 (- (/ 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 a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 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 (/ (- 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 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 (/ (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- (+ (* (/ 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 (/ (- 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 a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* (/ 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 (/ (- 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 a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 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))) 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -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))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -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))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (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 (* (sqrt 2) (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]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (- 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 (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 a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 (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 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 (/ (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- 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 (+ (* 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 a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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) 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 (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 a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 2 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 3 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow (/ (cos th) (sqrt 2)) 1) (* a2 a2))))>
* * * * [misc]progress:  [ 4 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 305
* * [misc]simplify:  Extracting #5: cost 0 inf + 779
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 5 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (log (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 6 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log (exp (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 7 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* 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 (177 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 53 inf + 0
* * [misc]simplify:  Extracting #2: cost 53 inf + 123
* * [misc]simplify:  Extracting #3: cost 41 inf + 1344
* * [misc]simplify:  Extracting #4: cost 3 inf + 7298
* * [misc]simplify:  Extracting #5: cost 0 inf + 7884
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) (* a2 a2))))
* * * * [misc]progress:  [ 8 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 9 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 10 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 11 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (- (cos th)) (- (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 12 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 668
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 13 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 14 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (* 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 467
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2))))
* * * * [misc]progress:  [ 15 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 16 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 17 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 387
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2))))
* * * * [misc]progress:  [ 18 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 447
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 19 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 20 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2))))
* * * * [misc]progress:  [ 21 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cos th) (/ 1 (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 23 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* * * * [misc]progress:  [ 24 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2))))
* * * * [misc]progress:  [ 25 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))
* * * * [misc]progress:  [ 26 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 27 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 384
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2))))
* * * * [misc]progress:  [ 28 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2))))
* * * * [misc]progress:  [ 29 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* * * * [misc]progress:  [ 30 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 31 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 32 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (pow (/ (cos th) (sqrt 2)) 1) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 33 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 305
* * [misc]simplify:  Extracting #5: cost 0 inf + 779
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 34 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (exp (log (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 35 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (log (exp (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 36 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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 (177 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 53 inf + 0
* * [misc]simplify:  Extracting #2: cost 53 inf + 123
* * [misc]simplify:  Extracting #3: cost 41 inf + 1344
* * [misc]simplify:  Extracting #4: cost 3 inf + 7298
* * [misc]simplify:  Extracting #5: cost 0 inf + 7884
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 37 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 38 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 39 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 40 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (- (cos th)) (- (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 41 / 130 ] 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)) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 668
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 42 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 43 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 467
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 44 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 45 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 46 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 387
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 47 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 447
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 48 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 49 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 50 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 51 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 52 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 53 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 54 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 55 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 56 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 384
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 57 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 58 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 59 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 60 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 61 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 1)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 15 inf + 0
* * [misc]simplify:  Extracting #2: cost 16 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 411
* * [misc]simplify:  Extracting #4: cost 4 inf + 1021
* * [misc]simplify:  Extracting #5: cost 0 inf + 1671
* [exit]simplify:  Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1)))
* * * * [misc]progress:  [ 62 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 1)))>
* * * * [misc]progress:  [ 63 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 36 inf + 0
* * [misc]simplify:  Extracting #2: cost 67 inf + 0
* * [misc]simplify:  Extracting #3: cost 68 inf + 1
* * [misc]simplify:  Extracting #4: cost 58 inf + 701
* * [misc]simplify:  Extracting #5: cost 14 inf + 11228
* * [misc]simplify:  Extracting #6: cost 0 inf + 15305
* [exit]simplify:  Simplified to (- (+ (+ (log a2) (log a2)) (log (cos th))) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (- (+ (+ (log a2) (log a2)) (log (cos th))) (log (sqrt 2))))))
* * * * [misc]progress:  [ 64 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 29 inf + 0
* * [misc]simplify:  Extracting #2: cost 46 inf + 0
* * [misc]simplify:  Extracting #3: cost 42 inf + 446
* * [misc]simplify:  Extracting #4: cost 28 inf + 2264
* * [misc]simplify:  Extracting #5: cost 11 inf + 6458
* * [misc]simplify:  Extracting #6: cost 0 inf + 9632
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))))))
* * * * [misc]progress:  [ 65 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (log (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 66 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (log (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 67 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 79 inf + 0
* * [misc]simplify:  Extracting #2: cost 211 inf + 124
* * [misc]simplify:  Extracting #3: cost 129 inf + 15846
* * [misc]simplify:  Extracting #4: cost 5 inf + 48791
* * [misc]simplify:  Extracting #5: cost 0 inf + 50145
* [exit]simplify:  Simplified to (* (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2))))))
* * * * [misc]progress:  [ 68 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 62 inf + 0
* * [misc]simplify:  Extracting #2: cost 209 inf + 165
* * [misc]simplify:  Extracting #3: cost 128 inf + 18439
* * [misc]simplify:  Extracting #4: cost 10 inf + 51260
* * [misc]simplify:  Extracting #5: cost 0 inf + 54450
* [exit]simplify:  Simplified to (* (/ (* (* (cos th) a2) (* a2 a2)) (sqrt 2)) (/ (* (* (cos th) a2) (* a2 a2)) (/ 2 (cos th))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (/ (* (* (cos th) a2) (* a2 a2)) (sqrt 2)) (/ (* (* (cos th) a2) (* a2 a2)) (/ 2 (cos th)))))))
* * * * [misc]progress:  [ 69 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 70 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 71 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* * * * [misc]progress:  [ 72 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* * * * [misc]progress:  [ 73 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 74 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 730
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 75 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 428
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 76 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 77 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 78 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (* 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2)))))
* * * * [misc]progress:  [ 79 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 80 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 81 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2)))))
* * * * [misc]progress:  [ 82 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 83 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))
* * * * [misc]progress:  [ 84 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))
* * * * [misc]progress:  [ 85 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* * * * [misc]progress:  [ 86 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2)))))
* * * * [misc]progress:  [ 87 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 42
* * [misc]simplify:  Extracting #3: cost 3 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 348
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (* a2 a2) (cos th)) (sqrt 2))))
* * * * [misc]progress:  [ 88 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* a2 a2) (/ (cos th) (sqrt 2)))))>
* * * * [misc]progress:  [ 89 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 90 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 91 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 15 inf + 0
* * [misc]simplify:  Extracting #2: cost 16 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 411
* * [misc]simplify:  Extracting #4: cost 4 inf + 1021
* * [misc]simplify:  Extracting #5: cost 0 inf + 1671
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 92 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 93 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 36 inf + 0
* * [misc]simplify:  Extracting #2: cost 67 inf + 0
* * [misc]simplify:  Extracting #3: cost 68 inf + 1
* * [misc]simplify:  Extracting #4: cost 58 inf + 701
* * [misc]simplify:  Extracting #5: cost 14 inf + 11228
* * [misc]simplify:  Extracting #6: cost 0 inf + 15305
* [exit]simplify:  Simplified to (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 94 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 29 inf + 0
* * [misc]simplify:  Extracting #2: cost 46 inf + 0
* * [misc]simplify:  Extracting #3: cost 42 inf + 446
* * [misc]simplify:  Extracting #4: cost 28 inf + 2264
* * [misc]simplify:  Extracting #5: cost 11 inf + 6458
* * [misc]simplify:  Extracting #6: cost 0 inf + 9632
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 95 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (log (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 96 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 97 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 79 inf + 0
* * [misc]simplify:  Extracting #2: cost 211 inf + 124
* * [misc]simplify:  Extracting #3: cost 129 inf + 15846
* * [misc]simplify:  Extracting #4: cost 5 inf + 48791
* * [misc]simplify:  Extracting #5: cost 0 inf + 50145
* [exit]simplify:  Simplified to (* (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 98 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 62 inf + 0
* * [misc]simplify:  Extracting #2: cost 209 inf + 165
* * [misc]simplify:  Extracting #3: cost 128 inf + 18439
* * [misc]simplify:  Extracting #4: cost 10 inf + 51260
* * [misc]simplify:  Extracting #5: cost 0 inf + 54450
* [exit]simplify:  Simplified to (* (/ (* (* (cos th) a1) (* a1 a1)) (sqrt 2)) (/ (* (* (cos th) a1) (* a1 a1)) (/ 2 (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (* (cos th) a1) (* a1 a1)) (sqrt 2)) (/ (* (* (cos th) a1) (* a1 a1)) (/ 2 (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 99 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 100 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 101 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 102 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 103 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 104 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 730
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 105 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 428
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 106 / 130 ] 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))) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 107 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 108 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 109 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 110 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 111 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 112 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 113 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [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))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 114 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 115 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 116 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 117 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (* a1 a1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 42
* * [misc]simplify:  Extracting #3: cost 3 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 348
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 118 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 119 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 54 inf + 4
* * [misc]simplify:  Extracting #3: cost 43 inf + 549
* * [misc]simplify:  Extracting #4: cost 15 inf + 4295
* * [misc]simplify:  Extracting #5: cost 0 inf + 8707
* [exit]simplify:  Simplified to (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2)))) (* a2 a2))))
* * * * [misc]progress:  [ 120 / 130 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 121 / 130 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 122 / 130 ] 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)) (* (/ (cos th) (sqrt 2)) (* 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 54 inf + 4
* * [misc]simplify:  Extracting #3: cost 43 inf + 549
* * [misc]simplify:  Extracting #4: cost 15 inf + 4295
* * [misc]simplify:  Extracting #5: cost 0 inf + 8707
* [exit]simplify:  Simplified to (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 123 / 130 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 124 / 130 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 125 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (403 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 143 inf + 3
* * [misc]simplify:  Extracting #3: cost 181 inf + 538
* * [misc]simplify:  Extracting #4: cost 78 inf + 14268
* * [misc]simplify:  Extracting #5: cost 3 inf + 25420
* * [misc]simplify:  Extracting #6: cost 0 inf + 26071
* [exit]simplify:  Simplified to (fma (* (* th th) (/ (* a2 a2) (sqrt 2))) -1/2 (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma (* (* th th) (/ (* a2 a2) (sqrt 2))) -1/2 (/ (* a2 a2) (sqrt 2)))))
* * * * [misc]progress:  [ 126 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 7 inf + 1040
* * [misc]simplify:  Extracting #5: cost 0 inf + 1976
* [exit]simplify:  Simplified to (* a2 (/ (cos th) (/ (sqrt 2) a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* a2 (/ (cos th) (/ (sqrt 2) a2)))))
* * * * [misc]progress:  [ 127 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 7 inf + 1040
* * [misc]simplify:  Extracting #5: cost 0 inf + 1976
* [exit]simplify:  Simplified to (* a2 (/ (cos th) (/ (sqrt 2) a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* a2 (/ (cos th) (/ (sqrt 2) a2)))))
* * * * [misc]progress:  [ 128 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (403 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 143 inf + 3
* * [misc]simplify:  Extracting #3: cost 181 inf + 538
* * [misc]simplify:  Extracting #4: cost 78 inf + 14268
* * [misc]simplify:  Extracting #5: cost 3 inf + 25420
* * [misc]simplify:  Extracting #6: cost 0 inf + 26071
* [exit]simplify:  Simplified to (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 129 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 130 / 130 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 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)) 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 a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* -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)))) a2))) into (- (* 1/2 (/ a2 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -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 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 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 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a2))))) into (* 1/24 (/ a2 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/24 in a2
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a2 (pow th 2))) (* (/ 1 (sqrt 2)) (* a2 1))) into (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 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 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 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 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 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 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) into (/ (cos (/ 1 th)) (* (sqrt 2) a2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) 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 (* (sqrt 2) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (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) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) 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 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) 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 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) 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 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a2)) 1)) into (/ (* (cos th) a2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 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 (- 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 (- 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 (- 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 (- 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 (- 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 (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a2)) into (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2)))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) 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 -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) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (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) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (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 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* 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 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a2))) 1)) into (/ (* (cos th) a2) (sqrt 2))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 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) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (* a1 a1) into (pow a1 2)
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ 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 a1 2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) 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 a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (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 a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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 a1 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/24 in a1
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [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 a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 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))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 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 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 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)) 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 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)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 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)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (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 (* (sqrt 2) (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]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (- (+ (* (/ 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 (- (/ 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 a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 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 (/ (- 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 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 (/ (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- (+ (* (/ 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 (/ (- 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 a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* (/ 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 (/ (- 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 a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 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))) 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -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))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -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))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (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 (* (sqrt 2) (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]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (- 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 (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 a1 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 (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 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 (/ (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- 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 (+ (* 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 a1 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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) 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 (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 a1 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (log1p (expm1 (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 2 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (expm1 (log1p (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 3 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (pow (/ (cos th) (sqrt 2)) 1) a2) a2)))>
* * * * [misc]progress:  [ 4 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (exp (- (log (cos th)) (log (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 305
* * [misc]simplify:  Extracting #5: cost 0 inf + 779
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (exp (- (log (cos th)) (log (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 5 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (exp (log (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 6 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (log (exp (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 7 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) 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 (177 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 53 inf + 0
* * [misc]simplify:  Extracting #2: cost 53 inf + 123
* * [misc]simplify:  Extracting #3: cost 41 inf + 1344
* * [misc]simplify:  Extracting #4: cost 3 inf + 7298
* * [misc]simplify:  Extracting #5: cost 0 inf + 7884
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) a2) a2)))
* * * * [misc]progress:  [ 8 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 9 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 10 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 11 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (- (cos th)) (- (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 12 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 668
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 13 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 14 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 467
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 15 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 16 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 17 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 387
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 18 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 447
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 19 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 20 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 1) (/ (cos th) (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 21 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 22 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cos th) (/ 1 (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 23 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (/ (sqrt 2) (cos th))) a2) a2)))>
* * * * [misc]progress:  [ 24 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 25 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 26 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) 1) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) 1) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 27 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) a2) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 384
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) a2) a2)))
* * * * [misc]progress:  [ 28 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) a2) a2)))
* * * * [misc]progress:  [ 29 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (/ (sqrt 2) (cos th))) a2) a2)))>
* * * * [misc]progress:  [ 30 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 31 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 32 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (pow (/ (cos th) (sqrt 2)) 1) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 33 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 305
* * [misc]simplify:  Extracting #5: cost 0 inf + 779
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 34 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (exp (log (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 35 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (log (exp (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 36 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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 (177 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 53 inf + 0
* * [misc]simplify:  Extracting #2: cost 53 inf + 123
* * [misc]simplify:  Extracting #3: cost 41 inf + 1344
* * [misc]simplify:  Extracting #4: cost 3 inf + 7298
* * [misc]simplify:  Extracting #5: cost 0 inf + 7884
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 37 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 38 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 39 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 40 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (- (cos th)) (- (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 41 / 124 ] 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)) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 668
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 42 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 43 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 467
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 44 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 45 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 46 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 387
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 47 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 447
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 48 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 49 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 50 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 51 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 52 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 53 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 54 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 55 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 56 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 384
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 57 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 58 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 59 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 60 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (expm1 (log1p (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 61 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow (* (/ (cos th) (sqrt 2)) a2) 1) a2)))>
* * * * [misc]progress:  [ 62 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (log (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 63 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log (exp (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 64 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (* (/ (cos th) (sqrt 2)) a2)) (cbrt (* (/ (cos th) (sqrt 2)) a2))) (cbrt (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 65 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (* (* (/ (cos th) (sqrt 2)) a2) (* (/ (cos th) (sqrt 2)) a2)) (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 66 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (* (/ (cos th) (sqrt 2)) a2)) (sqrt (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 67 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (* (/ (cos th) (sqrt 2)) a2)) a2)))>
* * * * [misc]progress:  [ 68 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 730
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 69 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 428
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 70 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 71 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 72 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 73 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 74 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 75 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 76 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 77 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 78 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 1) (* (/ (cos th) (sqrt 2)) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (* (/ (cos th) (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 79 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (* (/ (cos th) (sqrt 2)) a2)) a2)))>
* * * * [misc]progress:  [ 80 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cos th) (* (/ 1 (sqrt 2)) a2)) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cos th) (* (/ 1 (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 81 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (* (cos th) a2)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 165
* [exit]simplify:  Simplified to (* a2 (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* a2 (cos th)) (sqrt 2)) a2)))
* * * * [misc]progress:  [ 82 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* a2 (/ (cos th) (sqrt 2))) a2)))>
* * * * [misc]progress:  [ 83 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 84 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 85 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 15 inf + 0
* * [misc]simplify:  Extracting #2: cost 16 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 411
* * [misc]simplify:  Extracting #4: cost 4 inf + 1021
* * [misc]simplify:  Extracting #5: cost 0 inf + 1671
* [exit]simplify:  Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 86 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 87 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 36 inf + 0
* * [misc]simplify:  Extracting #2: cost 67 inf + 0
* * [misc]simplify:  Extracting #3: cost 68 inf + 1
* * [misc]simplify:  Extracting #4: cost 58 inf + 701
* * [misc]simplify:  Extracting #5: cost 14 inf + 11228
* * [misc]simplify:  Extracting #6: cost 0 inf + 15305
* [exit]simplify:  Simplified to (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 88 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 29 inf + 0
* * [misc]simplify:  Extracting #2: cost 46 inf + 0
* * [misc]simplify:  Extracting #3: cost 42 inf + 446
* * [misc]simplify:  Extracting #4: cost 28 inf + 2264
* * [misc]simplify:  Extracting #5: cost 11 inf + 6458
* * [misc]simplify:  Extracting #6: cost 0 inf + 9632
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 89 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (log (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 90 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 91 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 79 inf + 0
* * [misc]simplify:  Extracting #2: cost 211 inf + 124
* * [misc]simplify:  Extracting #3: cost 129 inf + 15846
* * [misc]simplify:  Extracting #4: cost 5 inf + 48791
* * [misc]simplify:  Extracting #5: cost 0 inf + 50145
* [exit]simplify:  Simplified to (* (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (/ (* (* (cos th) (cos th)) (cos th)) (* (sqrt 2) 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 92 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 62 inf + 0
* * [misc]simplify:  Extracting #2: cost 209 inf + 165
* * [misc]simplify:  Extracting #3: cost 128 inf + 18439
* * [misc]simplify:  Extracting #4: cost 10 inf + 51260
* * [misc]simplify:  Extracting #5: cost 0 inf + 54450
* [exit]simplify:  Simplified to (* (/ (* (* (cos th) a1) (* a1 a1)) (sqrt 2)) (/ (* (* (cos th) a1) (* a1 a1)) (/ 2 (cos th))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (* (cos th) a1) (* a1 a1)) (sqrt 2)) (/ (* (* (cos th) a1) (* a1 a1)) (/ 2 (cos th))))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 93 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 94 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 95 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 96 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 97 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 98 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 730
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 99 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 428
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 100 / 124 ] 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))) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 101 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 102 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 103 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 104 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 105 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 106 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 107 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [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))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 108 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 109 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 110 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 111 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (cos th) (* a1 a1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 42
* * [misc]simplify:  Extracting #3: cost 3 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 348
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 112 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 113 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 54 inf + 4
* * [misc]simplify:  Extracting #3: cost 43 inf + 549
* * [misc]simplify:  Extracting #4: cost 15 inf + 4295
* * [misc]simplify:  Extracting #5: cost 0 inf + 8707
* [exit]simplify:  Simplified to (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 114 / 124 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 115 / 124 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 116 / 124 ] 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)) (* (* (/ (cos th) (sqrt 2)) 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 54 inf + 4
* * [misc]simplify:  Extracting #3: cost 43 inf + 549
* * [misc]simplify:  Extracting #4: cost 15 inf + 4295
* * [misc]simplify:  Extracting #5: cost 0 inf + 8707
* [exit]simplify:  Simplified to (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 117 / 124 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 118 / 124 ] 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))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 119 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) a2)))>
* [enter]simplify:  Simplifying (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 99 inf + 2
* * [misc]simplify:  Extracting #3: cost 92 inf + 253
* * [misc]simplify:  Extracting #4: cost 47 inf + 5652
* * [misc]simplify:  Extracting #5: cost 1 inf + 12833
* * [misc]simplify:  Extracting #6: cost 0 inf + 12995
* [exit]simplify:  Simplified to (+ (* (/ a2 (sqrt 2)) (* (* th th) -1/2)) (/ a2 (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (+ (* (/ a2 (sqrt 2)) (* (* th th) -1/2)) (/ a2 (sqrt 2))) a2)))
* * * * [misc]progress:  [ 120 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) a2) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 208
* * [misc]simplify:  Extracting #4: cost 0 inf + 838
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (/ (sqrt 2) a2)) a2)))
* * * * [misc]progress:  [ 121 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) a2) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 208
* * [misc]simplify:  Extracting #4: cost 0 inf + 838
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (/ (sqrt 2) a2)) a2)))
* * * * [misc]progress:  [ 122 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (403 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 143 inf + 3
* * [misc]simplify:  Extracting #3: cost 181 inf + 538
* * [misc]simplify:  Extracting #4: cost 78 inf + 14268
* * [misc]simplify:  Extracting #5: cost 3 inf + 25420
* * [misc]simplify:  Extracting #6: cost 0 inf + 26071
* [exit]simplify:  Simplified to (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 123 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 124 / 124 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 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)) 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 a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* -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)))) a2))) into (- (* 1/2 (/ a2 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -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 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 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 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a2))))) into (* 1/24 (/ a2 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/24 in a2
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a2 (pow th 2))) (* (/ 1 (sqrt 2)) (* a2 1))) into (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 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 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 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 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 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 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) into (/ (cos (/ 1 th)) (* (sqrt 2) a2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) 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 (* (sqrt 2) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (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) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) 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 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) 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 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) 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 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a2)) 1)) into (/ (* (cos th) a2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 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 (- 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 (- 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 (- 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 (- 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 (- 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 (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a2)) into (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2)))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) 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 -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) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (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) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (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 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* 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 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a2))) 1)) into (/ (* (cos th) a2) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (* a1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (* 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 (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 (* (cos th) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos th) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin 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 th) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin 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 th) 1) (+ (* 0 0) (* 0 0))) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* 1 (pow a1 2)) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* 1 (pow a1 2)) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) 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 a1 2)))) into (- (* 1/2 (pow a1 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (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 a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (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 (* (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))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ 1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ 1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (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 (* (sqrt 2) (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]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (* 0 (/ 1 (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 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)) (* (sqrt 2) (pow a1 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (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 (* (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)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ -1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ -1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt 2)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 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 (+ (* (cos (/ -1 th)) 0) (* 0 (/ 1 (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (/ 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)) (* (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 (/ (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 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)) (* (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 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)) (* (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cos th) (sqrt 2)) a2) a2) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cos th) (sqrt 2)) a2) a2) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 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)) a2) a2) in th
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 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)) a2) a2) in th
* [misc]taylor:  Taking taylor expansion of (* (/ (cos th) (sqrt 2)) 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 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 (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (/ a2 (sqrt 2)) a2) 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 a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ a2 (sqrt 2)) 0) (* 0 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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)))) a2))) into (- (* 1/2 (/ a2 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ a2 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ a2 (sqrt 2)))) a2))) 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 a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0 (* -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 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ a2 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ a2 (sqrt 2)))) 0) (* 0 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 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 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a2))))) into (* 1/24 (/ a2 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (/ a2 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ a2 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ a2 (sqrt 2))) a2))))) into (* 1/24 (/ (pow a2 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ (pow a2 2) (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/24 in a2
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [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 a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 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))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 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 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ a2 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ a2 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ a2 (sqrt 2))) 0) (* 0 a2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) (/ 1 a2)) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 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 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 a2)) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 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 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 a2)) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 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 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) into (/ (cos (/ 1 th)) (* (sqrt 2) a2))
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 th)) (* (sqrt 2) a2)) (/ 1 a2)) 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]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 (* (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 (* (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 (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) 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 a2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) a2)) 0) (* 0 (/ 1 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 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 (/ (- 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 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) a2)) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- (+ (* (/ 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 (/ (- 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 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) a2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* (/ 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 (/ (- 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 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) a2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) (/ 1 (- a2))) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 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 (- 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 (- a2))) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 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 (- 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 (- a2))) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 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 (- 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 (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a2)) into (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2)))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) (/ -1 a2)) 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]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 (* (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 (* (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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) 0) (* 0 (/ -1 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (+ (* 1 0) (* 0 1)) 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 (- 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 (/ (- 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 a2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- 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 (/ (- 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 a2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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) 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 (/ (- 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 a2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (log1p (expm1 (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 2 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (expm1 (log1p (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 3 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (pow (/ (cos th) (sqrt 2)) 1) a2) a2)))>
* * * * [misc]progress:  [ 4 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (- (log (cos th)) (log (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 305
* * [misc]simplify:  Extracting #5: cost 0 inf + 779
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (- (log (cos th)) (log (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 5 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (log (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 6 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (log (exp (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 7 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) 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 (177 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 53 inf + 0
* * [misc]simplify:  Extracting #2: cost 53 inf + 123
* * [misc]simplify:  Extracting #3: cost 41 inf + 1344
* * [misc]simplify:  Extracting #4: cost 3 inf + 7298
* * [misc]simplify:  Extracting #5: cost 0 inf + 7884
* [exit]simplify:  Simplified to (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (* (/ (* (cos th) (cos th)) (sqrt 2)) (/ (cos th) 2))) a2) a2)))
* * * * [misc]progress:  [ 8 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 9 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 10 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 11 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (- (cos th)) (- (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 12 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 668
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 13 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 14 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 467
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 15 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 16 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 17 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 42
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 387
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 18 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 447
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 19 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 20 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 1) (/ (cos th) (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 21 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 22 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cos th) (/ 1 (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 23 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (/ (sqrt 2) (cos th))) a2) a2)))>
* * * * [misc]progress:  [ 24 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 25 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 26 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) 1) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) 1) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 27 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) a2) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 384
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) a2) a2)))
* * * * [misc]progress:  [ 28 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) a2) a2)))
* * * * [misc]progress:  [ 29 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (/ (sqrt 2) (cos th))) a2) a2)))>
* * * * [misc]progress:  [ 30 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (log1p (expm1 (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 31 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (expm1 (log1p (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 32 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (pow (* (/ (cos th) (sqrt 2)) a2) 1) a2)))>
* * * * [misc]progress:  [ 33 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (exp (log (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 34 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (log (exp (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 35 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (* (/ (cos th) (sqrt 2)) a2)) (cbrt (* (/ (cos th) (sqrt 2)) a2))) (cbrt (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 36 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (cbrt (* (* (* (/ (cos th) (sqrt 2)) a2) (* (/ (cos th) (sqrt 2)) a2)) (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 37 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (* (/ (cos th) (sqrt 2)) a2)) (sqrt (* (/ (cos th) (sqrt 2)) a2))) a2)))>
* * * * [misc]progress:  [ 38 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (cos th) (sqrt 2)) a2)) a2)))>
* * * * [misc]progress:  [ 39 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 730
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 40 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 428
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 41 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 386
* * [misc]simplify:  Extracting #6: cost 1 inf + 2338
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 42 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 43 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 44 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 4 inf + 325
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 45 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 46 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 47 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 689
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 48 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 49 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 1) (* (/ (cos th) (sqrt 2)) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (cos th) (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 50 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (cos th) (sqrt 2)) a2)) a2)))>
* * * * [misc]progress:  [ 51 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cos th) (* (/ 1 (sqrt 2)) a2)) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cos th) (* (/ 1 (sqrt 2)) a2)) a2)))
* * * * [misc]progress:  [ 52 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (* (cos th) a2)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 165
* [exit]simplify:  Simplified to (* a2 (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* a2 (cos th)) (sqrt 2)) a2)))
* * * * [misc]progress:  [ 53 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* a2 (/ (cos th) (sqrt 2))) a2)))>
* * * * [misc]progress:  [ 54 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log1p (expm1 (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 55 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (expm1 (log1p (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 56 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (pow (/ (* (cos th) (* a1 a1)) (sqrt 2)) 1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 57 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (- (+ (log (cos th)) (log (* a1 a1))) (log (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (- (+ (log (cos th)) (log (* a1 a1))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 25 inf + 0
* * [misc]simplify:  Extracting #2: cost 34 inf + 0
* * [misc]simplify:  Extracting #3: cost 31 inf + 335
* * [misc]simplify:  Extracting #4: cost 25 inf + 741
* * [misc]simplify:  Extracting #5: cost 5 inf + 5877
* * [misc]simplify:  Extracting #6: cost 0 inf + 7418
* [exit]simplify:  Simplified to (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2))))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 58 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (- (log (* (cos th) (* a1 a1))) (log (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (- (log (* (cos th) (* a1 a1))) (log (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 (47 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 21 inf + 0
* * [misc]simplify:  Extracting #2: cost 30 inf + 0
* * [misc]simplify:  Extracting #3: cost 28 inf + 224
* * [misc]simplify:  Extracting #4: cost 21 inf + 772
* * [misc]simplify:  Extracting #5: cost 3 inf + 5359
* * [misc]simplify:  Extracting #6: cost 0 inf + 6015
* [exit]simplify:  Simplified to (- (log (* (* a1 a1) (cos th))) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* (* a1 a1) (cos th))) (log (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 59 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (log (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 60 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log (exp (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 61 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 122 inf + 0
* * [misc]simplify:  Extracting #2: cost 193 inf + 326
* * [misc]simplify:  Extracting #3: cost 105 inf + 21122
* * [misc]simplify:  Extracting #4: cost 7 inf + 45046
* * [misc]simplify:  Extracting #5: cost 0 inf + 47286
* [exit]simplify:  Simplified to (/ (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) 2)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) 2)) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 62 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))) (* (cos th) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))) (* (cos th) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 133 inf + 0
* * [misc]simplify:  Extracting #2: cost 193 inf + 84
* * [misc]simplify:  Extracting #3: cost 102 inf + 17299
* * [misc]simplify:  Extracting #4: cost 8 inf + 40085
* * [misc]simplify:  Extracting #5: cost 0 inf + 42188
* [exit]simplify:  Simplified to (/ (* (* (* a1 a1) (cos th)) (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th)))) (* 2 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* a1 a1) (cos th)) (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th)))) (* 2 (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 63 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cbrt (/ (* (cos th) (* a1 a1)) (sqrt 2))) (cbrt (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (cbrt (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 64 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (* (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (* a1 a1)) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 65 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (sqrt (/ (* (cos th) (* a1 a1)) (sqrt 2))) (sqrt (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 66 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (- (* (cos th) (* a1 a1))) (- (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 67 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 870
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (* a1 a1) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 0 inf + 731
* [exit]simplify:  Simplified to (/ (* a1 a1) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 68 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (* a1 a1) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 0 inf + 571
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 69 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) 1) (/ (* a1 a1) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 2
* * [misc]simplify:  Extracting #3: cost 0 inf + 63
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* [enter]simplify:  Simplifying (/ (* a1 a1) (sqrt 2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 370
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 70 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* 1 (/ (* (cos th) (* a1 a1)) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 71 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 72 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ 1 (/ (sqrt 2) (* (cos th) (* a1 a1)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* * * * [misc]progress:  [ 73 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 74 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 75 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) 1) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) 1) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 76 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (sqrt 2) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (cos th) (/ (sqrt 2) (* a1 a1))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 77 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (log1p (expm1 (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 78 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (expm1 (log1p (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 79 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (pow (* (* (/ (cos th) (sqrt 2)) a2) a2) 1)))>
* * * * [misc]progress:  [ 80 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (exp (log (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 81 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (log (exp (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 82 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (* (* (/ (cos th) (sqrt 2)) a2) a2)) (cbrt (* (* (/ (cos th) (sqrt 2)) a2) a2))) (cbrt (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 83 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (cbrt (* (* (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (* (/ (cos th) (sqrt 2)) a2) a2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 84 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (sqrt (* (* (/ (cos th) (sqrt 2)) a2) a2)) (sqrt (* (* (/ (cos th) (sqrt 2)) a2) a2)))))>
* * * * [misc]progress:  [ 85 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* 1 (* (* (/ (cos th) (sqrt 2)) a2) a2))))>
* * * * [misc]progress:  [ 86 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * * * [misc]progress:  [ 87 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (* (cos th) a2) a2) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (* (cos th) a2) a2)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 42
* * [misc]simplify:  Extracting #3: cost 3 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 348
* [exit]simplify:  Simplified to (* a2 (* a2 (cos th)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* a2 (* a2 (cos th))) (sqrt 2))))
* * * * [misc]progress:  [ 88 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* a2 (* (/ (cos th) (sqrt 2)) a2))))>
* * * * [misc]progress:  [ 89 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 54 inf + 4
* * [misc]simplify:  Extracting #3: cost 43 inf + 549
* * [misc]simplify:  Extracting #4: cost 15 inf + 4295
* * [misc]simplify:  Extracting #5: cost 0 inf + 8707
* [exit]simplify:  Simplified to (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 90 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 91 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 92 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) a2)))>
* [enter]simplify:  Simplifying (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 99 inf + 2
* * [misc]simplify:  Extracting #3: cost 92 inf + 253
* * [misc]simplify:  Extracting #4: cost 47 inf + 5652
* * [misc]simplify:  Extracting #5: cost 1 inf + 12833
* * [misc]simplify:  Extracting #6: cost 0 inf + 12995
* [exit]simplify:  Simplified to (+ (* (/ a2 (sqrt 2)) (* (* th th) -1/2)) (/ a2 (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (+ (* (/ a2 (sqrt 2)) (* (* th th) -1/2)) (/ a2 (sqrt 2))) a2)))
* * * * [misc]progress:  [ 93 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) a2) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 208
* * [misc]simplify:  Extracting #4: cost 0 inf + 838
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (/ (sqrt 2) a2)) a2)))
* * * * [misc]progress:  [ 94 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) a2) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 208
* * [misc]simplify:  Extracting #4: cost 0 inf + 838
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (/ (sqrt 2) a2)) a2)))
* * * * [misc]progress:  [ 95 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (403 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 143 inf + 3
* * [misc]simplify:  Extracting #3: cost 181 inf + 538
* * [misc]simplify:  Extracting #4: cost 78 inf + 14268
* * [misc]simplify:  Extracting #5: cost 3 inf + 25420
* * [misc]simplify:  Extracting #6: cost 0 inf + 26071
* [exit]simplify:  Simplified to (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 96 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 97 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 98 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (403 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 143 inf + 3
* * [misc]simplify:  Extracting #3: cost 181 inf + 538
* * [misc]simplify:  Extracting #4: cost 78 inf + 14268
* * [misc]simplify:  Extracting #5: cost 3 inf + 25420
* * [misc]simplify:  Extracting #6: cost 0 inf + 26071
* [exit]simplify:  Simplified to (fma (* (* th th) (/ (* a2 a2) (sqrt 2))) -1/2 (/ (* a2 a2) (sqrt 2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (fma (* (* th th) (/ (* a2 a2) (sqrt 2))) -1/2 (/ (* a2 a2) (sqrt 2)))))
* * * * [misc]progress:  [ 99 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 7 inf + 1040
* * [misc]simplify:  Extracting #5: cost 0 inf + 1976
* [exit]simplify:  Simplified to (* a2 (/ (cos th) (/ (sqrt 2) a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* a2 (/ (cos th) (/ (sqrt 2) a2)))))
* * * * [misc]progress:  [ 100 / 100 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 7 inf + 1040
* * [misc]simplify:  Extracting #5: cost 0 inf + 1976
* [exit]simplify:  Simplified to (* a2 (/ (cos th) (/ (sqrt 2) a2)))
* [misc]simplify:  Simplified (2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* a2 (/ (cos th) (/ (sqrt 2) a2)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* 1/24 (sqrt (/ 1 (sqrt 2)))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow th 2)) (sqrt (/ 1 (sqrt 2))))) into (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* 1/24 (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos th)) (sqrt (sqrt 2))) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of a2 in th
* [misc]backup-simplify:  Simplify a2 into a2
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2)))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) a2))) into (- (* 1/2 (/ a2 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2)))) in a2
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/2 in a2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* 1/24 (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (/ 1 (sqrt 2)))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a2))))) into (* 1/24 (/ a2 (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/24 (/ a2 (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of 1/24 in a2
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]taylor:  Taking taylor expansion of (/ a2 (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a2 (pow th 2))) (* (/ 1 (sqrt 2)) (* a2 1))) into (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ 1 a2)) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ 1 a2)) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) 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 (sqrt 2))) (sqrt (sqrt 2))) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) 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 (sqrt 2))) (sqrt (sqrt 2))) (/ 1 a2)) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 a2) 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 (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) into (/ (cos (/ 1 th)) (* (sqrt 2) a2))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) 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 (* (sqrt 2) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (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) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a2)) 1)) into (/ (* (cos th) a2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ 1 (- a2))) in (th a2) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ 1 (- a2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in a2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a2
* [misc]taylor:  Taking taylor expansion of (- th) in a2
* [misc]taylor:  Taking taylor expansion of th in a2
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [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 (sqrt 2))) (sqrt (sqrt 2))) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [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 (sqrt 2))) (sqrt (sqrt 2))) (/ 1 (- a2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2))
* [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 (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a2)) into (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2)))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a2))) in a2
* [misc]taylor:  Taking taylor expansion of -1 in a2
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) 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 -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) a2) in a2
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of a2 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (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) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- a2) into (- a2)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a2))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a2))) 1)) into (/ (* (cos th) a2) (sqrt 2))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos th) (* a1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]taylor:  Taking taylor expansion of (* 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 (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 (* (cos th) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos th) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin 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 th) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin 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 th) 1) (+ (* 0 0) (* 0 0))) into (cos th)
* [misc]backup-simplify:  Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* 1 (pow a1 2)) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos th) (* a1 a1)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos th) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* 1 (pow a1 2)) into (pow a1 2)
* [misc]backup-simplify:  Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow a1 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) 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 a1 2)))) into (- (* 1/2 (pow a1 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (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 a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
* [misc]backup-simplify:  Simplify (+ 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 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 a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (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 (* (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))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ 1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ 1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ 1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (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 (* (sqrt 2) (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]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (* 0 (/ 1 (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* (/ 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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 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)) (* (sqrt 2) (pow a1 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (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 (* (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)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ -1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (/ 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 (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (* (cos (/ -1 th)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2)) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt 2)) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 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 (+ (* (cos (/ -1 th)) 0) (* 0 (/ 1 (pow a1 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (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 (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (/ 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)) (* (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 (/ (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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 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)) (* (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 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)) (* (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (log1p (expm1 (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 2 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (expm1 (log1p (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 3 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (pow (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 4 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (exp (- (log (cos th)) (log (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (- (log (cos th)) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 980
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (exp (- (log (cos th)) (log (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 5 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (exp (log (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 6 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (log (exp (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 7 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 23 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 1
* * [misc]simplify:  Extracting #3: cost 21 inf + 64
* * [misc]simplify:  Extracting #4: cost 16 inf + 631
* * [misc]simplify:  Extracting #5: cost 1 inf + 3839
* * [misc]simplify:  Extracting #6: cost 0 inf + 4021
* [exit]simplify:  Simplified to (/ (/ (cos th) (/ (sqrt 2) (* (cos th) (cos th)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cbrt (/ (/ (cos th) (/ (sqrt 2) (* (cos th) (cos th)))) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 8 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 9 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cbrt (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 10 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 11 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (- (cos th)) (- (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 12 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 104
* * [misc]simplify:  Extracting #6: cost 7 inf + 668
* * [misc]simplify:  Extracting #7: cost 1 inf + 2699
* * [misc]simplify:  Extracting #8: cost 0 inf + 3081
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 829
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 13 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1935
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 869
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 14 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1574
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 749
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 15 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 385
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 16 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1574
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 749
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 17 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 588
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 18 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1292
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 749
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 19 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 950
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 789
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 20 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 669
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 669
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 21 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 22 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 669
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 669
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 23 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 508
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 24 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 608
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 25 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 648
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 26 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 528
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 27 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 28 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 528
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 29 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ 1 1) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 30 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 31 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cos th) (/ 1 (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 32 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (/ (sqrt (sqrt 2)) (cos th))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 33 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 284
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 34 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 324
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 35 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 244
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 36 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 37 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 244
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 38 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) 1) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) 1) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 39 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 384
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 40 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (cos th))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 41 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (/ (sqrt (sqrt 2)) (cos th))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 42 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (log1p (expm1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 43 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (expm1 (log1p (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 44 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) 1) a2) a2)))>
* * * * [misc]progress:  [ 45 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 16 inf + 0
* * [misc]simplify:  Extracting #2: cost 23 inf + 0
* * [misc]simplify:  Extracting #3: cost 25 inf + 0
* * [misc]simplify:  Extracting #4: cost 24 inf + 62
* * [misc]simplify:  Extracting #5: cost 19 inf + 487
* * [misc]simplify:  Extracting #6: cost 17 inf + 960
* * [misc]simplify:  Extracting #7: cost 4 inf + 4367
* * [misc]simplify:  Extracting #8: cost 0 inf + 5291
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 46 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 20 inf + 0
* * [misc]simplify:  Extracting #3: cost 22 inf + 0
* * [misc]simplify:  Extracting #4: cost 19 inf + 364
* * [misc]simplify:  Extracting #5: cost 17 inf + 406
* * [misc]simplify:  Extracting #6: cost 14 inf + 820
* * [misc]simplify:  Extracting #7: cost 7 inf + 2651
* * [misc]simplify:  Extracting #8: cost 0 inf + 4530
* [exit]simplify:  Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 47 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (exp (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 48 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 49 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 78 inf + 0
* * [misc]simplify:  Extracting #2: cost 117 inf + 42
* * [misc]simplify:  Extracting #3: cost 88 inf + 3431
* * [misc]simplify:  Extracting #4: cost 14 inf + 19678
* * [misc]simplify:  Extracting #5: cost 0 inf + 23066
* [exit]simplify:  Simplified to (/ (/ (* (* (cos th) (cos th)) (cos th)) 2) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (/ (/ (* (* (cos th) (cos th)) (cos th)) 2) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 50 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (451 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 50 inf + 0
* * [misc]simplify:  Extracting #2: cost 63 inf + 43
* * [misc]simplify:  Extracting #3: cost 54 inf + 895
* * [misc]simplify:  Extracting #4: cost 15 inf + 9122
* * [misc]simplify:  Extracting #5: cost 0 inf + 12601
* [exit]simplify:  Simplified to (/ (/ (* (cos th) (cos th)) (sqrt 2)) (/ 2 (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (/ (/ (* (cos th) (cos th)) (sqrt 2)) (/ 2 (cos th)))) a2) a2)))
* * * * [misc]progress:  [ 51 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 52 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cbrt (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 53 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 54 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (- (/ (cos th) (sqrt (sqrt 2)))) (- (sqrt (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 55 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 16 inf + 0
* * [misc]simplify:  Extracting #5: cost 13 inf + 43
* * [misc]simplify:  Extracting #6: cost 8 inf + 729
* * [misc]simplify:  Extracting #7: cost 2 inf + 2941
* * [misc]simplify:  Extracting #8: cost 0 inf + 3745
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 285
* * [misc]simplify:  Extracting #6: cost 0 inf + 1172
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 56 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 11 inf + 43
* * [misc]simplify:  Extracting #6: cost 5 inf + 810
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 406
* * [misc]simplify:  Extracting #6: cost 0 inf + 1333
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 57 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1092
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 58 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 2
* * [misc]simplify:  Extracting #6: cost 2 inf + 630
* * [misc]simplify:  Extracting #7: cost 0 inf + 1235
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 123
* * [misc]simplify:  Extracting #5: cost 4 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 931
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 59 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1092
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 60 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 2
* * [misc]simplify:  Extracting #6: cost 6 inf + 64
* * [misc]simplify:  Extracting #7: cost 2 inf + 630
* * [misc]simplify:  Extracting #8: cost 0 inf + 1235
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 123
* * [misc]simplify:  Extracting #5: cost 4 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 931
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 61 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 0
* * [misc]simplify:  Extracting #5: cost 5 inf + 486
* * [misc]simplify:  Extracting #6: cost 0 inf + 1675
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 285
* * [misc]simplify:  Extracting #6: cost 0 inf + 1092
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 62 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 567
* * [misc]simplify:  Extracting #6: cost 0 inf + 1414
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 406
* * [misc]simplify:  Extracting #6: cost 0 inf + 1253
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 63 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1012
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1012
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 64 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 590
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 123
* * [misc]simplify:  Extracting #5: cost 4 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 851
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 65 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1012
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1012
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 66 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 590
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 123
* * [misc]simplify:  Extracting #5: cost 4 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 851
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 67 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 18 inf + 0
* * [misc]simplify:  Extracting #2: cost 22 inf + 0
* * [misc]simplify:  Extracting #3: cost 22 inf + 2
* * [misc]simplify:  Extracting #4: cost 18 inf + 106
* * [misc]simplify:  Extracting #5: cost 5 inf + 3527
* * [misc]simplify:  Extracting #6: cost 0 inf + 5296
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1412
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 68 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 26 inf + 0
* * [misc]simplify:  Extracting #3: cost 28 inf + 0
* * [misc]simplify:  Extracting #4: cost 27 inf + 62
* * [misc]simplify:  Extracting #5: cost 23 inf + 426
* * [misc]simplify:  Extracting #6: cost 8 inf + 5110
* * [misc]simplify:  Extracting #7: cost 0 inf + 8444
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 950
* * [misc]simplify:  Extracting #7: cost 0 inf + 2276
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 69 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 11 inf + 3202
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1915
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 70 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 105
* * [misc]simplify:  Extracting #6: cost 8 inf + 669
* * [misc]simplify:  Extracting #7: cost 1 inf + 2882
* * [misc]simplify:  Extracting #8: cost 0 inf + 3264
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1674
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 71 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 11 inf + 3202
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1915
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 72 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (261 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 15 inf + 1
* * [misc]simplify:  Extracting #3: cost 17 inf + 1
* * [misc]simplify:  Extracting #4: cost 17 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 428
* * [misc]simplify:  Extracting #6: cost 10 inf + 690
* * [misc]simplify:  Extracting #7: cost 4 inf + 2580
* * [misc]simplify:  Extracting #8: cost 1 inf + 3686
* * [misc]simplify:  Extracting #9: cost 0 inf + 4108
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1674
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 73 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 26 inf + 0
* * [misc]simplify:  Extracting #3: cost 28 inf + 0
* * [misc]simplify:  Extracting #4: cost 27 inf + 62
* * [misc]simplify:  Extracting #5: cost 23 inf + 426
* * [misc]simplify:  Extracting #6: cost 10 inf + 4165
* * [misc]simplify:  Extracting #7: cost 0 inf + 8444
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 950
* * [misc]simplify:  Extracting #7: cost 0 inf + 2276
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 74 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 16 inf + 0
* * [misc]simplify:  Extracting #3: cost 18 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 43
* * [misc]simplify:  Extracting #5: cost 11 inf + 547
* * [misc]simplify:  Extracting #6: cost 0 inf + 3907
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 1171
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 75 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 17 inf + 104
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 870
* * [misc]simplify:  Extracting #7: cost 0 inf + 2116
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 76 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 12 inf + 2
* * [misc]simplify:  Extracting #5: cost 7 inf + 427
* * [misc]simplify:  Extracting #6: cost 2 inf + 1434
* * [misc]simplify:  Extracting #7: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1875
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 77 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 17 inf + 104
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 870
* * [misc]simplify:  Extracting #7: cost 0 inf + 2116
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 78 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 12 inf + 2
* * [misc]simplify:  Extracting #5: cost 9 inf + 105
* * [misc]simplify:  Extracting #6: cost 0 inf + 2118
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1875
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2))))) (/ (cbrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 79 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 14 inf + 2197
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1915
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 80 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 386
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 950
* * [misc]simplify:  Extracting #7: cost 0 inf + 2116
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 81 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1011
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 82 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 6 inf + 427
* * [misc]simplify:  Extracting #6: cost 1 inf + 1455
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 83 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1011
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 84 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 8 inf + 105
* * [misc]simplify:  Extracting #6: cost 2 inf + 1153
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 85 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 204
* * [misc]simplify:  Extracting #5: cost 10 inf + 568
* * [misc]simplify:  Extracting #6: cost 5 inf + 1575
* * [misc]simplify:  Extracting #7: cost 0 inf + 3304
* * [misc]simplify:  Extracting #8: cost 0 inf + 3264
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1674
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 86 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 63
* * [misc]simplify:  Extracting #5: cost 7 inf + 568
* * [misc]simplify:  Extracting #6: cost 6 inf + 609
* * [misc]simplify:  Extracting #7: cost 3 inf + 1052
* * [misc]simplify:  Extracting #8: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1875
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 87 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 9 inf + 64
* * [misc]simplify:  Extracting #6: cost 4 inf + 690
* * [misc]simplify:  Extracting #7: cost 1 inf + 1455
* * [misc]simplify:  Extracting #8: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 88 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 3 inf + 63
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 810
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 89 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 9 inf + 64
* * [misc]simplify:  Extracting #6: cost 4 inf + 690
* * [misc]simplify:  Extracting #7: cost 1 inf + 1455
* * [misc]simplify:  Extracting #8: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 90 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 3 inf + 63
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 810
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 91 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 14 inf + 2197
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1915
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 92 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 386
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 950
* * [misc]simplify:  Extracting #7: cost 0 inf + 2116
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 93 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1011
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 94 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 6 inf + 427
* * [misc]simplify:  Extracting #6: cost 1 inf + 1455
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 95 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 1011
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 96 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 8 inf + 105
* * [misc]simplify:  Extracting #6: cost 2 inf + 1153
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 97 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 105
* * [misc]simplify:  Extracting #6: cost 5 inf + 1434
* * [misc]simplify:  Extracting #7: cost 0 inf + 3264
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1674
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 98 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 567
* * [misc]simplify:  Extracting #5: cost 6 inf + 609
* * [misc]simplify:  Extracting #6: cost 1 inf + 1776
* * [misc]simplify:  Extracting #7: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1875
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 99 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 7 inf + 246
* * [misc]simplify:  Extracting #6: cost 3 inf + 811
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 100 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 386
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 810
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 101 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 7 inf + 246
* * [misc]simplify:  Extracting #6: cost 3 inf + 811
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 102 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 810
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 103 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 1
* * [misc]simplify:  Extracting #4: cost 12 inf + 3
* * [misc]simplify:  Extracting #5: cost 10 inf + 65
* * [misc]simplify:  Extracting #6: cost 7 inf + 288
* * [misc]simplify:  Extracting #7: cost 1 inf + 1717
* * [misc]simplify:  Extracting #8: cost 0 inf + 2059
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1292
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 104 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 15 inf + 0
* * [misc]simplify:  Extracting #3: cost 17 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 568
* * [misc]simplify:  Extracting #7: cost 3 inf + 2478
* * [misc]simplify:  Extracting #8: cost 0 inf + 3683
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 870
* * [misc]simplify:  Extracting #7: cost 0 inf + 2116
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 105 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 9 inf + 407
* * [misc]simplify:  Extracting #7: cost 1 inf + 2659
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1755
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 106 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 5 inf + 206
* * [misc]simplify:  Extracting #6: cost 4 inf + 287
* * [misc]simplify:  Extracting #7: cost 1 inf + 951
* * [misc]simplify:  Extracting #8: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 107 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 9 inf + 407
* * [misc]simplify:  Extracting #7: cost 1 inf + 2659
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1755
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 108 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 6 inf + 165
* * [misc]simplify:  Extracting #6: cost 4 inf + 287
* * [misc]simplify:  Extracting #7: cost 1 inf + 951
* * [misc]simplify:  Extracting #8: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 109 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 15 inf + 0
* * [misc]simplify:  Extracting #3: cost 17 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 568
* * [misc]simplify:  Extracting #7: cost 3 inf + 2478
* * [misc]simplify:  Extracting #8: cost 0 inf + 3683
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 870
* * [misc]simplify:  Extracting #7: cost 0 inf + 2116
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 110 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1292
* * [misc]simplify:  Extracting #6: cost 0 inf + 1252
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 164
* * [misc]simplify:  Extracting #5: cost 0 inf + 1051
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 111 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 6 inf + 568
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 790
* * [misc]simplify:  Extracting #7: cost 0 inf + 1956
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 112 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 2 inf + 548
* * [misc]simplify:  Extracting #6: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1715
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 113 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 6 inf + 568
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 790
* * [misc]simplify:  Extracting #7: cost 0 inf + 1956
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 114 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 649
* * [misc]simplify:  Extracting #6: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1715
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 115 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 286
* * [misc]simplify:  Extracting #7: cost 3 inf + 1935
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1755
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 116 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 1031
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 870
* * [misc]simplify:  Extracting #7: cost 0 inf + 1956
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 117 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 118 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 119 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 120 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 121 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 4 inf + 287
* * [misc]simplify:  Extracting #6: cost 1 inf + 951
* * [misc]simplify:  Extracting #7: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 122 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1715
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 123 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 124 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 690
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 125 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 126 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 690
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 127 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 286
* * [misc]simplify:  Extracting #7: cost 3 inf + 1935
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1755
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 128 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 1031
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 870
* * [misc]simplify:  Extracting #7: cost 0 inf + 1956
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 129 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 130 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 131 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 132 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 133 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 4 inf + 287
* * [misc]simplify:  Extracting #6: cost 1 inf + 951
* * [misc]simplify:  Extracting #7: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 486
* * [misc]simplify:  Extracting #5: cost 0 inf + 1514
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 134 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 647
* * [misc]simplify:  Extracting #5: cost 0 inf + 1715
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 135 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 136 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) 1) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 690
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 137 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 406
* * [misc]simplify:  Extracting #5: cost 0 inf + 1354
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 138 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (sqrt (cos th)) 1) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 4 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 690
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 139 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 2
* * [misc]simplify:  Extracting #4: cost 10 inf + 3
* * [misc]simplify:  Extracting #5: cost 9 inf + 4
* * [misc]simplify:  Extracting #6: cost 7 inf + 126
* * [misc]simplify:  Extracting #7: cost 1 inf + 1255
* * [misc]simplify:  Extracting #8: cost 0 inf + 1497
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1111
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 140 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 14 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 14 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 406
* * [misc]simplify:  Extracting #7: cost 3 inf + 2016
* * [misc]simplify:  Extracting #8: cost 0 inf + 3021
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1895
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 141 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 9 inf + 245
* * [misc]simplify:  Extracting #7: cost 1 inf + 2097
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1534
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 142 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 285
* * [misc]simplify:  Extracting #6: cost 1 inf + 688
* * [misc]simplify:  Extracting #7: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 143 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 9 inf + 245
* * [misc]simplify:  Extracting #7: cost 1 inf + 2097
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1534
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 144 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 285
* * [misc]simplify:  Extracting #6: cost 1 inf + 688
* * [misc]simplify:  Extracting #7: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 145 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 14 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 14 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 406
* * [misc]simplify:  Extracting #7: cost 3 inf + 2016
* * [misc]simplify:  Extracting #8: cost 0 inf + 3021
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1895
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 146 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* * [misc]simplify:  Extracting #6: cost 0 inf + 890
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 225
* * [misc]simplify:  Extracting #5: cost 0 inf + 870
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 147 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1735
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 148 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1494
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 149 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1735
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 150 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1494
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 151 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 124
* * [misc]simplify:  Extracting #7: cost 2 inf + 1775
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1534
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 152 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1735
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 153 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 185
* * [misc]simplify:  Extracting #5: cost 0 inf + 710
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 154 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 43
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 155 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 185
* * [misc]simplify:  Extracting #5: cost 0 inf + 710
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 156 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 4 inf + 2
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 157 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 285
* * [misc]simplify:  Extracting #6: cost 1 inf + 688
* * [misc]simplify:  Extracting #7: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 158 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1494
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 159 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 2 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 160 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 509
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 161 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 2 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 162 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 509
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 163 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 124
* * [misc]simplify:  Extracting #7: cost 2 inf + 1775
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1534
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 164 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1735
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 165 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 185
* * [misc]simplify:  Extracting #5: cost 0 inf + 710
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 166 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 43
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 167 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 185
* * [misc]simplify:  Extracting #5: cost 0 inf + 710
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 168 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 4 inf + 2
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 169 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 170 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1494
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 171 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 172 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 1) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 509
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 173 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 174 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (/ 1 1) 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 509
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 175 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 176 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1494
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 177 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 178 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 509
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 179 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1133
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 180 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ 1 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 509
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (cos th) (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 181 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1111
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1052
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 182 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 809
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 1253
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 183 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 528
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 892
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 184 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt 1)) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 2
* * [misc]simplify:  Extracting #3: cost 0 inf + 63
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cos th) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 328
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cos th) (/ 1 (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 185 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 528
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 892
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 186 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) 1) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 2
* * [misc]simplify:  Extracting #3: cost 0 inf + 63
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cos th) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 328
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cos th) (/ 1 (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 187 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 188 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cos th) (sqrt (sqrt 2))) (/ 1 (sqrt (sqrt 2)))) a2) a2)))>
* * * * [misc]progress:  [ 189 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 190 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 284
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 191 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 324
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 192 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 244
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 193 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1)) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1)) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 194 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 4 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 244
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 195 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 196 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 931
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 197 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 589
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 198 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 104
* * [misc]simplify:  Extracting #6: cost 7 inf + 668
* * [misc]simplify:  Extracting #7: cost 1 inf + 2699
* * [misc]simplify:  Extracting #8: cost 0 inf + 3081
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 199 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1935
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 200 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1574
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 201 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 385
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 202 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1574
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 203 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) 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 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 204 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1292
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 205 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 950
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 206 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 669
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 207 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 208 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 669
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 209 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) 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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 210 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 211 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 212 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 213 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 214 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) a2) a2)))
* * * * [misc]progress:  [ 215 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 216 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) a2) a2)))>
* * * * [misc]progress:  [ 217 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))) a2) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))) a2) a2)))
* * * * [misc]progress:  [ 218 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) a2) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 219 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (log1p (expm1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 220 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (expm1 (log1p (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 221 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (pow (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) 1) a2)))>
* * * * [misc]progress:  [ 222 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (exp (log (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 223 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (log (exp (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 224 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) (cbrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 225 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (cbrt (* (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 226 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) (sqrt (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2))) a2)))>
* * * * [misc]progress:  [ 227 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* * * * [misc]progress:  [ 228 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 6 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 993
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 229 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 691
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 230 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 16 inf + 0
* * [misc]simplify:  Extracting #5: cost 13 inf + 43
* * [misc]simplify:  Extracting #6: cost 8 inf + 729
* * [misc]simplify:  Extracting #7: cost 2 inf + 2941
* * [misc]simplify:  Extracting #8: cost 0 inf + 3745
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 231 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 11 inf + 43
* * [misc]simplify:  Extracting #6: cost 5 inf + 810
* * [misc]simplify:  Extracting #7: cost 0 inf + 2680
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 232 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 233 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 2
* * [misc]simplify:  Extracting #6: cost 2 inf + 630
* * [misc]simplify:  Extracting #7: cost 0 inf + 1235
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 234 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 12 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 235 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 2
* * [misc]simplify:  Extracting #6: cost 6 inf + 64
* * [misc]simplify:  Extracting #7: cost 2 inf + 630
* * [misc]simplify:  Extracting #8: cost 0 inf + 1235
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 236 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 0
* * [misc]simplify:  Extracting #5: cost 5 inf + 486
* * [misc]simplify:  Extracting #6: cost 0 inf + 1675
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 237 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 567
* * [misc]simplify:  Extracting #6: cost 0 inf + 1414
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 238 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1012
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 239 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 590
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 240 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 245
* * [misc]simplify:  Extracting #6: cost 0 inf + 1012
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 241 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 590
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 242 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 18 inf + 0
* * [misc]simplify:  Extracting #2: cost 22 inf + 0
* * [misc]simplify:  Extracting #3: cost 22 inf + 2
* * [misc]simplify:  Extracting #4: cost 18 inf + 106
* * [misc]simplify:  Extracting #5: cost 5 inf + 3527
* * [misc]simplify:  Extracting #6: cost 0 inf + 5296
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 243 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 26 inf + 0
* * [misc]simplify:  Extracting #3: cost 28 inf + 0
* * [misc]simplify:  Extracting #4: cost 27 inf + 62
* * [misc]simplify:  Extracting #5: cost 23 inf + 426
* * [misc]simplify:  Extracting #6: cost 8 inf + 5110
* * [misc]simplify:  Extracting #7: cost 0 inf + 8444
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 244 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 11 inf + 3202
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 245 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 105
* * [misc]simplify:  Extracting #6: cost 8 inf + 669
* * [misc]simplify:  Extracting #7: cost 1 inf + 2882
* * [misc]simplify:  Extracting #8: cost 0 inf + 3264
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 246 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 11 inf + 3202
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 247 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (261 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 15 inf + 1
* * [misc]simplify:  Extracting #3: cost 17 inf + 1
* * [misc]simplify:  Extracting #4: cost 17 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 428
* * [misc]simplify:  Extracting #6: cost 10 inf + 690
* * [misc]simplify:  Extracting #7: cost 4 inf + 2580
* * [misc]simplify:  Extracting #8: cost 1 inf + 3686
* * [misc]simplify:  Extracting #9: cost 0 inf + 4108
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 248 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 26 inf + 0
* * [misc]simplify:  Extracting #3: cost 28 inf + 0
* * [misc]simplify:  Extracting #4: cost 27 inf + 62
* * [misc]simplify:  Extracting #5: cost 23 inf + 426
* * [misc]simplify:  Extracting #6: cost 10 inf + 4165
* * [misc]simplify:  Extracting #7: cost 0 inf + 8444
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 249 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 16 inf + 0
* * [misc]simplify:  Extracting #3: cost 18 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 43
* * [misc]simplify:  Extracting #5: cost 11 inf + 547
* * [misc]simplify:  Extracting #6: cost 0 inf + 3907
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 250 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 17 inf + 104
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 251 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 12 inf + 2
* * [misc]simplify:  Extracting #5: cost 7 inf + 427
* * [misc]simplify:  Extracting #6: cost 2 inf + 1434
* * [misc]simplify:  Extracting #7: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 252 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 17 inf + 104
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 253 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 12 inf + 2
* * [misc]simplify:  Extracting #5: cost 9 inf + 105
* * [misc]simplify:  Extracting #6: cost 0 inf + 2118
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (cos th)) (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 254 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 14 inf + 2197
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 255 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 386
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 256 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 257 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 6 inf + 427
* * [misc]simplify:  Extracting #6: cost 1 inf + 1455
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 258 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 259 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 8 inf + 105
* * [misc]simplify:  Extracting #6: cost 2 inf + 1153
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 260 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 204
* * [misc]simplify:  Extracting #5: cost 10 inf + 568
* * [misc]simplify:  Extracting #6: cost 5 inf + 1575
* * [misc]simplify:  Extracting #7: cost 0 inf + 3304
* * [misc]simplify:  Extracting #8: cost 0 inf + 3264
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 261 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 63
* * [misc]simplify:  Extracting #5: cost 7 inf + 568
* * [misc]simplify:  Extracting #6: cost 6 inf + 609
* * [misc]simplify:  Extracting #7: cost 3 inf + 1052
* * [misc]simplify:  Extracting #8: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 262 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 9 inf + 64
* * [misc]simplify:  Extracting #6: cost 4 inf + 690
* * [misc]simplify:  Extracting #7: cost 1 inf + 1455
* * [misc]simplify:  Extracting #8: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 263 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 3 inf + 63
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 264 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 9 inf + 64
* * [misc]simplify:  Extracting #6: cost 4 inf + 690
* * [misc]simplify:  Extracting #7: cost 1 inf + 1455
* * [misc]simplify:  Extracting #8: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 265 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 3 inf + 63
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 266 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 22 inf + 0
* * [misc]simplify:  Extracting #2: cost 24 inf + 0
* * [misc]simplify:  Extracting #3: cost 26 inf + 0
* * [misc]simplify:  Extracting #4: cost 25 inf + 62
* * [misc]simplify:  Extracting #5: cost 21 inf + 426
* * [misc]simplify:  Extracting #6: cost 14 inf + 2197
* * [misc]simplify:  Extracting #7: cost 0 inf + 7362
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 267 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 14 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 0
* * [misc]simplify:  Extracting #3: cost 20 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 386
* * [misc]simplify:  Extracting #6: cost 8 inf + 1795
* * [misc]simplify:  Extracting #7: cost 0 inf + 4790
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 268 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 269 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 6 inf + 427
* * [misc]simplify:  Extracting #6: cost 1 inf + 1455
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 270 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 14 inf + 0
* * [misc]simplify:  Extracting #4: cost 11 inf + 43
* * [misc]simplify:  Extracting #5: cost 8 inf + 306
* * [misc]simplify:  Extracting #6: cost 1 inf + 2058
* * [misc]simplify:  Extracting #7: cost 0 inf + 2400
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 271 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 8 inf + 105
* * [misc]simplify:  Extracting #6: cost 2 inf + 1153
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 272 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 105
* * [misc]simplify:  Extracting #6: cost 5 inf + 1434
* * [misc]simplify:  Extracting #7: cost 0 inf + 3264
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 273 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 567
* * [misc]simplify:  Extracting #5: cost 6 inf + 609
* * [misc]simplify:  Extracting #6: cost 1 inf + 1776
* * [misc]simplify:  Extracting #7: cost 0 inf + 2118
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 274 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 7 inf + 246
* * [misc]simplify:  Extracting #6: cost 3 inf + 811
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 275 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1)) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 386
* * [misc]simplify:  Extracting #6: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 276 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 2
* * [misc]simplify:  Extracting #5: cost 7 inf + 246
* * [misc]simplify:  Extracting #6: cost 3 inf + 811
* * [misc]simplify:  Extracting #7: cost 0 inf + 1757
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 277 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 4 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 567
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 278 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 1
* * [misc]simplify:  Extracting #4: cost 12 inf + 3
* * [misc]simplify:  Extracting #5: cost 10 inf + 65
* * [misc]simplify:  Extracting #6: cost 7 inf + 288
* * [misc]simplify:  Extracting #7: cost 1 inf + 1717
* * [misc]simplify:  Extracting #8: cost 0 inf + 2059
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 279 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 15 inf + 0
* * [misc]simplify:  Extracting #3: cost 17 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 568
* * [misc]simplify:  Extracting #7: cost 3 inf + 2478
* * [misc]simplify:  Extracting #8: cost 0 inf + 3683
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 280 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 9 inf + 407
* * [misc]simplify:  Extracting #7: cost 1 inf + 2659
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 281 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 5 inf + 206
* * [misc]simplify:  Extracting #6: cost 4 inf + 287
* * [misc]simplify:  Extracting #7: cost 1 inf + 951
* * [misc]simplify:  Extracting #8: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 282 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 9 inf + 407
* * [misc]simplify:  Extracting #7: cost 1 inf + 2659
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 283 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 6 inf + 165
* * [misc]simplify:  Extracting #6: cost 4 inf + 287
* * [misc]simplify:  Extracting #7: cost 1 inf + 951
* * [misc]simplify:  Extracting #8: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 284 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 15 inf + 0
* * [misc]simplify:  Extracting #3: cost 17 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 1
* * [misc]simplify:  Extracting #5: cost 15 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 568
* * [misc]simplify:  Extracting #7: cost 3 inf + 2478
* * [misc]simplify:  Extracting #8: cost 0 inf + 3683
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 285 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1292
* * [misc]simplify:  Extracting #6: cost 0 inf + 1252
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 286 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 6 inf + 568
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 287 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 2 inf + 548
* * [misc]simplify:  Extracting #6: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 288 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 6 inf + 568
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 289 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 649
* * [misc]simplify:  Extracting #6: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 290 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 286
* * [misc]simplify:  Extracting #7: cost 3 inf + 1935
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 291 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 1031
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 292 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 293 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 294 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 295 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 296 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 4 inf + 287
* * [misc]simplify:  Extracting #6: cost 1 inf + 951
* * [misc]simplify:  Extracting #7: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 297 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 298 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 299 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (cos th)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 300 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 301 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (cos th)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 302 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 13 inf + 63
* * [misc]simplify:  Extracting #6: cost 10 inf + 286
* * [misc]simplify:  Extracting #7: cost 3 inf + 1935
* * [misc]simplify:  Extracting #8: cost 0 inf + 3001
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 303 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 0
* * [misc]simplify:  Extracting #3: cost 13 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 11 inf + 63
* * [misc]simplify:  Extracting #6: cost 4 inf + 1031
* * [misc]simplify:  Extracting #7: cost 0 inf + 2117
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 304 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 305 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 306 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 891
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 307 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 308 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 1
* * [misc]simplify:  Extracting #3: cost 9 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 2
* * [misc]simplify:  Extracting #5: cost 4 inf + 287
* * [misc]simplify:  Extracting #6: cost 1 inf + 951
* * [misc]simplify:  Extracting #7: cost 0 inf + 1293
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 309 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 2
* * [misc]simplify:  Extracting #5: cost 0 inf + 951
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 310 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 311 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt 1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (cos th)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 312 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 2
* * [misc]simplify:  Extracting #5: cost 1 inf + 408
* * [misc]simplify:  Extracting #6: cost 0 inf + 670
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 313 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (sqrt (cos th)) 1) 1) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) 1) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 2 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 164
* [exit]simplify:  Simplified to (sqrt (cos th))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (sqrt (cos th)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 314 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 2
* * [misc]simplify:  Extracting #4: cost 10 inf + 3
* * [misc]simplify:  Extracting #5: cost 9 inf + 4
* * [misc]simplify:  Extracting #6: cost 7 inf + 126
* * [misc]simplify:  Extracting #7: cost 1 inf + 1255
* * [misc]simplify:  Extracting #8: cost 0 inf + 1497
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 315 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 14 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 14 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 406
* * [misc]simplify:  Extracting #7: cost 3 inf + 2016
* * [misc]simplify:  Extracting #8: cost 0 inf + 3021
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 316 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 9 inf + 245
* * [misc]simplify:  Extracting #7: cost 1 inf + 2097
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 317 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 285
* * [misc]simplify:  Extracting #6: cost 1 inf + 688
* * [misc]simplify:  Extracting #7: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 318 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 9 inf + 245
* * [misc]simplify:  Extracting #7: cost 1 inf + 2097
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 319 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 285
* * [misc]simplify:  Extracting #6: cost 1 inf + 688
* * [misc]simplify:  Extracting #7: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 320 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 14 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 1
* * [misc]simplify:  Extracting #5: cost 14 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 406
* * [misc]simplify:  Extracting #7: cost 3 inf + 2016
* * [misc]simplify:  Extracting #8: cost 0 inf + 3021
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 321 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* * [misc]simplify:  Extracting #6: cost 0 inf + 890
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 322 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 323 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 324 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 325 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 326 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 124
* * [misc]simplify:  Extracting #7: cost 2 inf + 1775
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 327 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 328 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 329 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 43
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 330 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 331 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 4 inf + 2
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 332 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 285
* * [misc]simplify:  Extracting #6: cost 1 inf + 688
* * [misc]simplify:  Extracting #7: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 333 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 334 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 2 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 335 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 336 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 2 inf + 124
* * [misc]simplify:  Extracting #6: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 337 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt 1)) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 338 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 11 inf + 1
* * [misc]simplify:  Extracting #3: cost 12 inf + 1
* * [misc]simplify:  Extracting #4: cost 13 inf + 1
* * [misc]simplify:  Extracting #5: cost 12 inf + 2
* * [misc]simplify:  Extracting #6: cost 10 inf + 124
* * [misc]simplify:  Extracting #7: cost 2 inf + 1775
* * [misc]simplify:  Extracting #8: cost 0 inf + 2339
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 339 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 1
* * [misc]simplify:  Extracting #3: cost 10 inf + 1
* * [misc]simplify:  Extracting #4: cost 11 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1655
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 340 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 341 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 3 inf + 43
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 342 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 124
* * [misc]simplify:  Extracting #5: cost 0 inf + 529
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 343 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 4 inf + 2
* * [misc]simplify:  Extracting #6: cost 2 inf + 124
* * [misc]simplify:  Extracting #7: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 344 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 345 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 346 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 347 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 348 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 349 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (/ 1 1) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 350 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 930
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 351 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 688
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 352 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 353 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt 1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 354 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 407
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 355 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 356 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 1111
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 357 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 809
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 358 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 528
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 359 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 1)) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 2
* * [misc]simplify:  Extracting #3: cost 0 inf + 63
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cos th) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 360 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 5 inf + 62
* * [misc]simplify:  Extracting #5: cost 0 inf + 528
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))
* * * * [misc]progress:  [ 361 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) 1) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 2
* * [misc]simplify:  Extracting #3: cost 0 inf + 63
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (cos th) (* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 362 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* 1 (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)) a2)))>
* * * * [misc]progress:  [ 363 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt 2))) a2)) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt (sqrt 2))) (* (/ 1 (sqrt (sqrt 2))) a2)) a2)))
* * * * [misc]progress:  [ 364 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (/ (cos th) (sqrt (sqrt 2))) a2) (sqrt (sqrt 2))) a2)))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) a2)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 7 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 2
* * [misc]simplify:  Extracting #4: cost 0 inf + 815
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) a2)
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (/ (cos th) (sqrt (sqrt 2))) a2) (sqrt (sqrt 2))) a2)))
* * * * [misc]progress:  [ 365 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* a2 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) a2)))>
* * * * [misc]progress:  [ 366 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log1p (expm1 (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 367 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (expm1 (log1p (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 368 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (pow (/ (* (cos th) (* a1 a1)) (sqrt 2)) 1) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 369 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (- (+ (log (cos th)) (log (* a1 a1))) (log (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (- (+ (log (cos th)) (log (* a1 a1))) (log (sqrt 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 25 inf + 0
* * [misc]simplify:  Extracting #2: cost 34 inf + 0
* * [misc]simplify:  Extracting #3: cost 31 inf + 335
* * [misc]simplify:  Extracting #4: cost 25 inf + 741
* * [misc]simplify:  Extracting #5: cost 5 inf + 5877
* * [misc]simplify:  Extracting #6: cost 0 inf + 7418
* [exit]simplify:  Simplified to (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2))))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 370 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (- (log (* (cos th) (* a1 a1))) (log (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (- (log (* (cos th) (* a1 a1))) (log (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 (47 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 21 inf + 0
* * [misc]simplify:  Extracting #2: cost 30 inf + 0
* * [misc]simplify:  Extracting #3: cost 28 inf + 224
* * [misc]simplify:  Extracting #4: cost 21 inf + 772
* * [misc]simplify:  Extracting #5: cost 3 inf + 5359
* * [misc]simplify:  Extracting #6: cost 0 inf + 6015
* [exit]simplify:  Simplified to (- (log (* (* a1 a1) (cos th))) (log (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* (* a1 a1) (cos th))) (log (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 371 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (exp (log (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 372 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (log (exp (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 373 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 122 inf + 0
* * [misc]simplify:  Extracting #2: cost 193 inf + 326
* * [misc]simplify:  Extracting #3: cost 105 inf + 21122
* * [misc]simplify:  Extracting #4: cost 7 inf + 45046
* * [misc]simplify:  Extracting #5: cost 0 inf + 47286
* [exit]simplify:  Simplified to (/ (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) 2)) (sqrt 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) 2)) (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 374 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))) (* (cos th) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))) (* (cos th) (* a1 a1))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 133 inf + 0
* * [misc]simplify:  Extracting #2: cost 193 inf + 84
* * [misc]simplify:  Extracting #3: cost 102 inf + 17299
* * [misc]simplify:  Extracting #4: cost 8 inf + 40085
* * [misc]simplify:  Extracting #5: cost 0 inf + 42188
* [exit]simplify:  Simplified to (/ (* (* (* a1 a1) (cos th)) (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th)))) (* 2 (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* a1 a1) (cos th)) (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th)))) (* 2 (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 375 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cbrt (/ (* (cos th) (* a1 a1)) (sqrt 2))) (cbrt (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (cbrt (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 376 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (cbrt (* (* (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (* a1 a1)) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 377 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (sqrt (/ (* (cos th) (* a1 a1)) (sqrt 2))) (sqrt (/ (* (cos th) (* a1 a1)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 378 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (- (* (cos th) (* a1 a1))) (- (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 379 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 870
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (* a1 a1) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 0 inf + 731
* [exit]simplify:  Simplified to (/ (* a1 a1) (cbrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 380 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 367
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (* a1 a1) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 42
* * [misc]simplify:  Extracting #4: cost 0 inf + 571
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt (sqrt 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 381 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (/ (cos th) 1) (/ (* a1 a1) (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [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)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 2
* * [misc]simplify:  Extracting #3: cost 0 inf + 63
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* [enter]simplify:  Simplifying (/ (* a1 a1) (sqrt 2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 370
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 382 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* 1 (/ (* (cos th) (* a1 a1)) (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 383 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 384 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ 1 (/ (sqrt 2) (* (cos th) (* a1 a1)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* * * * [misc]progress:  [ 385 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (cbrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 163
* [exit]simplify:  Simplified to (cbrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 386 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 123
* [exit]simplify:  Simplified to (sqrt (sqrt 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 387 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) 1) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (sqrt 2)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 42
* [exit]simplify:  Simplified to (sqrt 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) 1) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 388 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (sqrt 2) (* a1 a1))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (cos th)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 1 inf + 1
* * [misc]simplify:  Extracting #3: cost 0 inf + 62
* [exit]simplify:  Simplified to (cos th)
* [misc]simplify:  Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (cos th) (/ (sqrt 2) (* a1 a1))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 389 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (283 enodes)
* * [misc]simplify:  iters left: 1 (405 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 38 inf + 0
* * [misc]simplify:  Extracting #2: cost 72 inf + 86
* * [misc]simplify:  Extracting #3: cost 60 inf + 1444
* * [misc]simplify:  Extracting #4: cost 30 inf + 7720
* * [misc]simplify:  Extracting #5: cost 0 inf + 14959
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (sqrt 2))) (fma 1/24 (pow th 4) (fma th (* th -1/2) 1)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (/ 1 (sqrt 2))) (fma 1/24 (pow th 4) (fma th (* th -1/2) 1))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 390 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (/ 1 (sqrt 2))) (cos th)) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 62
* * [misc]simplify:  Extracting #4: cost 5 inf + 63
* * [misc]simplify:  Extracting #5: cost 0 inf + 532
* [exit]simplify:  Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 391 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (sqrt (/ 1 (sqrt 2))) (cos th)) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 62
* * [misc]simplify:  Extracting #4: cost 5 inf + 63
* * [misc]simplify:  Extracting #5: cost 0 inf + 532
* [exit]simplify:  Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 392 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 54 inf + 4
* * [misc]simplify:  Extracting #3: cost 43 inf + 549
* * [misc]simplify:  Extracting #4: cost 15 inf + 4295
* * [misc]simplify:  Extracting #5: cost 0 inf + 8707
* [exit]simplify:  Simplified to (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (fma th (/ (* -1/2 th) (sqrt 2)) (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2)))) a2) a2)))
* * * * [misc]progress:  [ 393 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 394 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 246
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))
* * * * [misc]progress:  [ 395 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) a2)))>
* [enter]simplify:  Simplifying (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (468 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 99 inf + 2
* * [misc]simplify:  Extracting #3: cost 92 inf + 253
* * [misc]simplify:  Extracting #4: cost 47 inf + 5652
* * [misc]simplify:  Extracting #5: cost 1 inf + 12833
* * [misc]simplify:  Extracting #6: cost 0 inf + 12995
* [exit]simplify:  Simplified to (+ (* (/ a2 (sqrt 2)) (* (* th th) -1/2)) (/ a2 (sqrt 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (+ (* (/ a2 (sqrt 2)) (* (* th th) -1/2)) (/ a2 (sqrt 2))) a2)))
* * * * [misc]progress:  [ 396 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) a2) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 208
* * [misc]simplify:  Extracting #4: cost 0 inf + 838
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (/ (sqrt 2) a2)) a2)))
* * * * [misc]progress:  [ 397 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (* (cos th) a2) (sqrt 2)) a2)))>
* [enter]simplify:  Simplifying (/ (* (cos th) a2) (sqrt 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 9 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 208
* * [misc]simplify:  Extracting #4: cost 0 inf + 838
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) a2))
* [misc]simplify:  Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (/ (cos th) (/ (sqrt 2) a2)) a2)))
* * * * [misc]progress:  [ 398 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (403 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 11 inf + 0
* * [misc]simplify:  Extracting #2: cost 143 inf + 3
* * [misc]simplify:  Extracting #3: cost 181 inf + 538
* * [misc]simplify:  Extracting #4: cost 78 inf + 14268
* * [misc]simplify:  Extracting #5: cost 3 inf + 25420
* * [misc]simplify:  Extracting #6: cost 0 inf + 26071
* [exit]simplify:  Simplified to (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2)))
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (fma (* (* th th) (/ (* a1 a1) (sqrt 2))) -1/2 (/ (* a1 a1) (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 399 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * * [misc]progress:  [ 400 / 400 ] simplifiying candidate #<alt (λ (a1 a2 th) (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))>
* [enter]simplify:  Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 17 inf + 0
* * [misc]simplify:  Extracting #2: cost 18 inf + 1
* * [misc]simplify:  Extracting #3: cost 15 inf + 44
* * [misc]simplify:  Extracting #4: cost 2 inf + 1671
* * [misc]simplify:  Extracting #5: cost 0 inf + 2037
* [exit]simplify:  Simplified to (* (/ (* (cos th) a1) (sqrt 2)) a1)
* [misc]simplify:  Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * [misc]regime-changes:  Trying 7 branch expressions: (a2 (* a2 a2) a1 (* a1 a1) th (cos th) (/ (cos th) (sqrt 2)))
* * * * [misc]regimes:  Trying to branch on a2 from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * * [misc]regimes:  Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * * [misc]regimes:  Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))>)
* * * * [misc]regimes:  Trying to branch on a1 from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * * [misc]regimes:  Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * * [misc]regimes:  Trying to branch on th from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * * [misc]regimes:  Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * * [misc]regimes:  Trying to branch on (/ (cos th) (sqrt 2)) from (#<alt (λ (a1 a2 th) (+ (/ (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (sqrt 2))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (fma a1 a1 (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (pow a2 2)) (sqrt 2))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 5 256))>
* [enter]simplify:  Simplifying (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) a2)) a2))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 1
* * [misc]simplify:  Extracting #4: cost 15 inf + 2
* * [misc]simplify:  Extracting #5: cost 11 inf + 168
* * [misc]simplify:  Extracting #6: cost 8 inf + 472
* * [misc]simplify:  Extracting #7: cost 3 inf + 1624
* * [misc]simplify:  Extracting #8: cost 2 inf + 2008
* * [misc]simplify:  Extracting #9: cost 0 inf + 3017
* [exit]simplify:  Simplified to (+ (* a2 (* (/ 1 (sqrt (sqrt 2))) (* a2 (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))))) (/ (* (* a1 a1) (cos th)) (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:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3480 additional inputs, on iter 1 have 4520 / 8000
* * * * [misc]points:  Computing exacts on every 217 of 3480 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 108 of 3480 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 54 of 3480 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 27 of 3480 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 13 of 3480 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 6 of 3480 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 3480 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 3480 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 1558 additional inputs, on iter 2 have 6442 / 8000
* * * * [misc]points:  Computing exacts on every 97 of 1558 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 48 of 1558 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 1558 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 1558 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 1558 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 1558 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 1558 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 691 additional inputs, on iter 3 have 7309 / 8000
* * * * [misc]points:  Computing exacts on every 43 of 691 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 21 of 691 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 10 of 691 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 691 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 691 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 691 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 301 additional inputs, on iter 4 have 7699 / 8000
* * * * [misc]points:  Computing exacts on every 18 of 301 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 301 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 301 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 301 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 301 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 134 additional inputs, on iter 5 have 7866 / 8000
* * * * [misc]points:  Computing exacts on every 8 of 134 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 134 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 134 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 134 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 48 additional inputs, on iter 6 have 7952 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 48 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 48 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 18 additional inputs, on iter 7 have 7982 / 8000
* * * * [misc]points:  Computing exacts for 18 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 9 additional inputs, on iter 8 have 7991 / 8000
* * * * [misc]points:  Computing exacts for 9 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 8 additional inputs, on iter 9 have 7992 / 8000
* * * * [misc]points:  Computing exacts for 8 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 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 11 have 7999 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs