* [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 128 additional inputs, on iter 1 have 128 / 256
* * * * [misc]points:  Computing exacts on every 8 of 128 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 128 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 128 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 128 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 47 additional inputs, on iter 2 have 209 / 256
* * * * [misc]points:  Computing exacts on every 2 of 47 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 47 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 8 additional inputs, on iter 4 have 248 / 256
* * * * [misc]points:  Computing exacts for 8 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 253 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 7 have 255 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 258 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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 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],0,0],[[1.170023224533326e-179,-2.647095342829477e-193,-7.384894716657131e+275],0,0],[[1.4462182673219785e-257,6.1701670079874715e-148,-3.4096344247463026e+169],0,1.0],[[6.763159401082614e-231,5.60029751695527e-74,-3.996639231722599e-250],0,1.0],[[-1.660792857124932e-193,1.0163117083670472e-178,1.2848677963582702e+197],0,0],[[-5.893156054960838e-209,-1.2838742763593962e-306,3.2540486993164457e+100],0,0]],"picked":"(λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))"}* * * * [misc]pick:  Picked  #<alt-event (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 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (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 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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (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 (- (/ 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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* 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 (- (/ 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 th 2) (pow a1 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)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 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 (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 (- (+ (* (/ 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 (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 (- (+ (* (/ 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 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 (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 (- (/ 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 (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 (/ (- 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (/ (- 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (/ (- 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:  [ 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)) 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 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 (+ (* 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (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 (- (/ 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* 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 (- (/ 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 th 2) (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]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]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* (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 (/ (- 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 (/ (- 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 (/ (* (pow a2 2) (cos th)) (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]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 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 (+ (* (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 (/ (- 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 (/ (- 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 (/ (* (pow a2 2) (cos th)) (sqrt 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 130 ] simplifiying candidate #<alt-delta (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-delta (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)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 5 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (log (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 6 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log (exp (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 7 / 130 ] simplifiying candidate #<alt-delta (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 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 8 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 9 / 130 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 10 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 130 ] simplifiying candidate #<alt-delta (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: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 12 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 13 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 14 / 130 ] simplifiying candidate #<alt-delta (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 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 15 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 16 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 18 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 19 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 20 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 21 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cos th) (/ 1 (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 23 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 24 / 130 ] simplifiying candidate #<alt-delta (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 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 25 / 130 ] simplifiying candidate #<alt-delta (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) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 26 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) 1) (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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 27 / 130 ] simplifiying candidate #<alt-delta (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 (/ (sqrt 2) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 28 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 29 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 30 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 31 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 32 / 130 ] simplifiying candidate #<alt-delta (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-delta (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)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 34 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (exp (log (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 35 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (log (exp (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 36 / 130 ] simplifiying candidate #<alt-delta (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 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 37 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 38 / 130 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 39 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 40 / 130 ] simplifiying candidate #<alt-delta (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: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 41 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* 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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 42 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 43 / 130 ] simplifiying candidate #<alt-delta (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 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 44 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 45 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 46 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 47 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 48 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 49 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 50 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 51 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 52 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 53 / 130 ] simplifiying candidate #<alt-delta (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 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 54 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 55 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 56 / 130 ] simplifiying candidate #<alt-delta (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 (/ (sqrt 2) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 57 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 58 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 59 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 60 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (log1p (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 61 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 62 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 63 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))
* * * * [misc]progress:  [ 64 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (+ (+ (log a1) (log a1)) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (+ (log a1) (log a1)) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 65 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (log (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (log (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 66 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 67 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 68 / 130 ] simplifiying candidate #<alt-delta (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 (361 enodes)
* [exit]simplify:  Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (* a1 a1) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (* a1 a1) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 69 / 130 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))) (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))) (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 70 / 130 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (pow (* (* a1 a1) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* a1 a1) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 71 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 72 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 73 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) a1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 74 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a1 a1) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a1 a1) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 75 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a1 a1) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a1 a1) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 76 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (cbrt (cos th))))
* * * * [misc]progress:  [ 77 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (cbrt (cos th))))
* * * * [misc]progress:  [ 78 / 130 ] simplifiying candidate #<alt-delta (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)) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 79 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (sqrt (cos th))))
* * * * [misc]progress:  [ 80 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (sqrt (cos th))))
* * * * [misc]progress:  [ 81 / 130 ] simplifiying candidate #<alt-delta (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)) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 82 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 83 / 130 ] simplifiying candidate #<alt-delta (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))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 84 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 85 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 86 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt 2))
* * * * [misc]progress:  [ 87 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* * * * [misc]progress:  [ 88 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 89 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 90 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (log1p (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 91 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 92 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 1)))>
* * * * [misc]progress:  [ 93 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* * * * [misc]progress:  [ 94 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (+ (+ (log a2) (log a2)) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (+ (log a2) (log a2)) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 95 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (log (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (log (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 96 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (log (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 97 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 98 / 130 ] simplifiying candidate #<alt-delta (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 (361 enodes)
* [exit]simplify:  Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (* a2 a2) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (* a2 a2) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 99 / 130 ] simplifiying candidate #<alt-delta (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))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 100 / 130 ] simplifiying candidate #<alt-delta (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))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (pow (* (* a2 a2) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* a2 a2) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 101 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 102 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* * * * [misc]progress:  [ 103 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) a2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* a2 (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a2 (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 104 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 105 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 106 / 130 ] simplifiying candidate #<alt-delta (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 (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (cbrt (cos th))))
* * * * [misc]progress:  [ 107 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (cbrt (cos th))))
* * * * [misc]progress:  [ 108 / 130 ] simplifiying candidate #<alt-delta (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)) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 109 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (sqrt (cos th))))
* * * * [misc]progress:  [ 110 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (sqrt (cos th))))
* * * * [misc]progress:  [ 111 / 130 ] simplifiying candidate #<alt-delta (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)) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 112 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 113 / 130 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 114 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 115 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 116 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* a2 a2) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a2 a2) (sqrt 2))
* * * * [misc]progress:  [ 117 / 130 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* * * * [misc]progress:  [ 118 / 130 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* a2 a2) (/ (cos th) (sqrt 2)))))>
* * * * [misc]progress:  [ 119 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* (* th 1/2) th) (sqrt 2))) (* a2 a2) (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 120 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 121 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 122 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* 1/2 (* th th)) (sqrt 2))) (* a1 a1) (/ (cos th) (/ (sqrt 2) (* a2 a2))))
* * * * [misc]progress:  [ 123 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 124 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 125 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* th a1) (* th a1))))
* * * * [misc]progress:  [ 126 / 130 ] simplifiying candidate #<alt-event (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 127 / 130 ] simplifiying candidate #<alt-event (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 128 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* [exit]simplify:  Simplified to (- (fma (* a1 a1) (/ (cos th) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* th a2) (* th a2))))
* * * * [misc]progress:  [ 129 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 130 / 130 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>","#<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (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))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 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960838e-209,-1.2838742763593962e-306,3.2540486993164457e+100],0,0]],"picked":"(λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))"}* * * * [misc]pick:  Picked  #<alt-delta (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)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (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)
* [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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 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 (+ (* 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (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 (- (/ 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* 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 (- (/ 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 th 2) (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]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]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* (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 (/ (- 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 (/ (- 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 (/ (* (pow a2 2) (cos th)) (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]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 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 (+ (* (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 (/ (- 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 (/ (- 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 (/ (* (pow a2 2) (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (* a1 a1) (sqrt 2)) in (a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* a1 a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (* a1 a1) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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))) (* 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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)) (+ (* (/ 1 (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 (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 a1) (/ 1 a1)) (sqrt 2)) in (a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 a1) (/ 1 a1)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (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]taylor:  Taking taylor expansion of (/ (* (/ 1 a1) (/ 1 a1)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) 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))) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (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 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 a1)) 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 (- a1)) (/ 1 (- a1))) (sqrt 2)) in (a1) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- a1)) (/ 1 (- a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (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]taylor:  Taking taylor expansion of (/ (* (/ 1 (- a1)) (/ 1 (- a1))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (/ (- 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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) 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))) (* 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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (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 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 (- a1))) 2)) into (/ (pow a1 2) (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) 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) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (cos th) (/ (* a1 a1) (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (* a1 a1) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (/ (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) in th
* [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) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* a1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 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 (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1 (/ (pow a1 2) (sqrt 2))) into (/ (pow a1 2) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ (pow a1 2) (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 (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ (pow a1 2) (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of 1/2 in a1
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) 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))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (/ (pow a1 2) (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 (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)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 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)) 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)) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (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]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)) 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)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow a1 2)) (sqrt 2)) into (/ 1 (* (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)) 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)) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (/ 1 a1) into (/ 1 a1)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow a1 2)) (sqrt 2)) into (/ 1 (* (pow a1 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) (/ 1 (* (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 th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 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 (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 (- (+ (* (/ 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)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (/ 1 (* (pow a1 2) (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 (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 (- (+ (* (/ 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)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a1 2) (sqrt 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a1 2) (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a1 2) (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))) 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))) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in a1
* [misc]taylor:  Taking taylor expansion of (- a1) in a1
* [misc]taylor:  Taking taylor expansion of a1 in a1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (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]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))) 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))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow a1 2)) (sqrt 2)) into (/ 1 (* (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))) 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))) (sqrt 2)) in th
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- a1)) in th
* [misc]taylor:  Taking taylor expansion of (- a1) in th
* [misc]taylor:  Taking taylor expansion of a1 in th
* [misc]backup-simplify:  Simplify a1 into a1
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (- a1) into (- a1)
* [misc]backup-simplify:  Simplify (/ 1 (- a1)) into (/ -1 a1)
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2))
* [misc]backup-simplify:  Simplify (/ (/ 1 (pow a1 2)) (sqrt 2)) into (/ 1 (* (pow a1 2) (sqrt 2)))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) (/ 1 (* (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 (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 (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 (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (/ 1 (* (pow a1 2) (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 (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a1 2) (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 (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a1 2) (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 (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a1 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a1 2) (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 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (pow (/ (cos th) (sqrt 2)) 1) (* a2 a2))))>
* * * * [misc]progress:  [ 4 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 5 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (exp (log (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 6 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (log (exp (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 7 / 118 ] simplifiying candidate #<alt-delta (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 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 8 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 9 / 118 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 10 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (- (cos th)) (- (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (cos th))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 12 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 13 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 14 / 118 ] simplifiying candidate #<alt-delta (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 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 15 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 16 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 18 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 19 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 20 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 21 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* (cos th) (/ 1 (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 23 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 24 / 118 ] simplifiying candidate #<alt-delta (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 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 25 / 118 ] simplifiying candidate #<alt-delta (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) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 26 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (/ (cos th) 1) (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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 27 / 118 ] simplifiying candidate #<alt-delta (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 (/ (sqrt 2) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 28 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 29 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 30 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 31 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (log1p (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 32 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 33 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 1)))>
* * * * [misc]progress:  [ 34 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (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)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* * * * [misc]progress:  [ 35 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (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)
* [exit]simplify:  Simplified to (+ (+ (log a2) (log a2)) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (+ (log a2) (log a2)) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 36 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (exp (log (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (log (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 37 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (log (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 38 / 118 ] simplifiying candidate #<alt-delta (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) (* 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)
* [exit]simplify:  Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 39 / 118 ] simplifiying candidate #<alt-delta (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) (* 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 (361 enodes)
* [exit]simplify:  Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (* a2 a2) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (* a2 a2) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 40 / 118 ] simplifiying candidate #<alt-delta (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))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 41 / 118 ] simplifiying candidate #<alt-delta (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))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (pow (* (* a2 a2) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* a2 a2) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 42 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 43 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* * * * [misc]progress:  [ 44 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) a2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* a2 (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a2 (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 45 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 46 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 47 / 118 ] simplifiying candidate #<alt-delta (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 (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (cbrt (cos th))))
* * * * [misc]progress:  [ 48 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (cbrt (cos th))))
* * * * [misc]progress:  [ 49 / 118 ] simplifiying candidate #<alt-delta (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)) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 50 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (sqrt (cos th))))
* * * * [misc]progress:  [ 51 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (sqrt (cos th))))
* * * * [misc]progress:  [ 52 / 118 ] simplifiying candidate #<alt-delta (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)) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 53 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 54 / 118 ] simplifiying candidate #<alt-delta (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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 55 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 56 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 57 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* a2 a2) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a2 a2) (sqrt 2))
* * * * [misc]progress:  [ 58 / 118 ] simplifiying candidate #<alt-delta (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: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* * * * [misc]progress:  [ 59 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (* a2 a2) (/ (cos th) (sqrt 2)))))>
* * * * [misc]progress:  [ 60 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (log1p (expm1 (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 61 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (expm1 (log1p (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 62 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (pow (/ (* a1 a1) (sqrt 2)) 1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 63 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (exp (- (log (* a1 a1)) (log (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (log (* a1 a1)) (log (sqrt 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (- (+ (log a1) (log a1)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (+ (log a1) (log a1)) (log (sqrt 2)))
* * * * [misc]progress:  [ 64 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (exp (log (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (log (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 65 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (log (exp (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (exp (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 66 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (cbrt (/ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (* (/ (pow a1 3) (sqrt 2)) (/ (pow a1 3) 2))
* [exit]simplify:  Simplified to (* (/ (pow a1 3) (sqrt 2)) (/ (pow a1 3) 2))
* * * * [misc]progress:  [ 67 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2)))) (cbrt (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 68 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (cbrt (* (* (/ (* a1 a1) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (/ (* a1 a1) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (389 enodes)
* [exit]simplify:  Simplified to (pow (/ (* a1 a1) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (* a1 a1) (sqrt 2)) 3)
* * * * [misc]progress:  [ 69 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (sqrt (/ (* a1 a1) (sqrt 2))) (sqrt (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* a1 a1) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 70 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (- (* a1 a1)) (- (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (* a1 a1))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (- (* a1 a1))
* [exit]simplify:  Simplified to (- (* a1 a1))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 71 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ a1 (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ a1 (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ a1 (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 72 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (/ a1 (sqrt (sqrt 2))) (/ a1 (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ a1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ a1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ a1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ a1 (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (/ a1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ a1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 73 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (/ a1 1) (/ a1 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ a1 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to a1
* [exit]simplify:  Simplified to a1
* [enter]simplify:  Simplifying (/ a1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ a1 (sqrt 2))
* [exit]simplify:  Simplified to (/ a1 (sqrt 2))
* * * * [misc]progress:  [ 74 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* 1 (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 75 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (* a1 a1) (/ 1 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 76 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ 1 (/ (sqrt 2) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (* a1 a1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (* a1 a1))
* [exit]simplify:  Simplified to (/ (sqrt 2) (* a1 a1))
* * * * [misc]progress:  [ 77 / 118 ] simplifiying candidate #<alt-delta (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 (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 78 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (/ (* a1 a1) (sqrt (sqrt 2))) (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)
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 79 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ (/ (* a1 a1) 1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (* a1 a1) 1)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* a1 a1)
* [exit]simplify:  Simplified to (* a1 a1)
* * * * [misc]progress:  [ 80 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) a1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) a1)
* [exit]simplify:  Simplified to (/ (sqrt 2) a1)
* * * * [misc]progress:  [ 81 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log1p (expm1 (* (cos th) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* * * * [misc]progress:  [ 82 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (expm1 (log1p (* (cos th) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (log1p (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* * * * [misc]progress:  [ 83 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (cos th) (/ (* a1 a1) (sqrt 2))) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 84 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (cos th) (/ (* a1 a1) (sqrt 2))) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 85 / 118 ] simplifiying candidate #<alt-delta (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 (31 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (+ (log (cos th)) (- (log (* a1 a1)) (log (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (cos th)) (- (log (* a1 a1)) (log (sqrt 2))))
* * * * [misc]progress:  [ 86 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (log (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (log (cos th)) (log (/ (* a1 a1) (sqrt 2))))
* * [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 (48 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (+ (log (cos th)) (log (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (log (cos th)) (log (/ (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 87 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (log (* (cos th) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (log (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* * * * [misc]progress:  [ 88 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log (exp (* (cos th) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (pow (exp (cos th)) (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (pow (exp (cos th)) (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 89 / 118 ] simplifiying candidate #<alt-delta (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 (134 enodes)
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (* a1 a1)) (* (sqrt 2) 2)) (* (* (cos th) (cos th)) (* (cos th) (* a1 a1))))
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (* a1 a1)) (* (sqrt 2) 2)) (* (* (cos th) (cos th)) (* (cos th) (* a1 a1))))
* * * * [misc]progress:  [ 90 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (cbrt (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (* a1 a1) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (* a1 a1) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (362 enodes)
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (cos th)) (/ (/ 2 a1) a1)) (* (* (cos th) (cos th)) (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (cos th)) (/ (/ 2 a1) a1)) (* (* (cos th) (cos th)) (/ (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 91 / 118 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2)))) (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))))
* [enter]simplify:  Simplifying (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* * * * [misc]progress:  [ 92 / 118 ] simplifiying candidate #<alt-delta (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))))>
* [enter]simplify:  Simplifying (* (* (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (cos th) (/ (* a1 a1) (sqrt 2)))) (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (314 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (/ (sqrt 2) (* a1 a1))) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (/ (sqrt 2) (* a1 a1))) 3)
* * * * [misc]progress:  [ 93 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2)))) (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a1 (cos th)) (/ a1 (sqrt 2))))
* * * * [misc]progress:  [ 94 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (cos th) (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 95 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2))))) (cbrt (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2)))) (cos th))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (* a1 a1) (sqrt 2))) (cbrt (/ (* a1 a1) (sqrt 2)))) (cos th))
* * * * [misc]progress:  [ 96 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (sqrt (/ (* a1 a1) (sqrt 2)))) (sqrt (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (sqrt (/ (* a1 a1) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (* a1 a1) (sqrt 2))) (cos th))
* [exit]simplify:  Simplified to (* (sqrt (/ (* a1 a1) (sqrt 2))) (cos th))
* * * * [misc]progress:  [ 97 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ a1 (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ a1 (* (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 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 98 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 (sqrt (sqrt 2)))) (/ a1 (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ a1 (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 99 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (/ a1 1)) (/ a1 (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ a1 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (* a1 (cos th))
* [exit]simplify:  Simplified to (* a1 (cos th))
* * * * [misc]progress:  [ 100 / 118 ] simplifiying candidate #<alt-delta (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 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 101 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (* a1 a1)) (/ 1 (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)
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* * * * [misc]progress:  [ 102 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (cos th)) (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (cos th)) (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 103 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (cos th)) (* (sqrt (cos th)) (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (sqrt (cos th)) (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 104 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (cos th) (/ (* a1 a1) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cos th) (/ (* a1 a1) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 105 / 118 ] simplifiying candidate #<alt-delta (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)
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* * * * [misc]progress:  [ 106 / 118 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (* a1 a1) (sqrt 2)) (cos th)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 107 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (* (/ th (sqrt 2)) (* th 1/2))) (* a2 a2) (/ (* (* a1 a1) (cos th)) (sqrt 2)))
* * * * [misc]progress:  [ 108 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2)))
* * * * [misc]progress:  [ 109 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2)))
* * * * [misc]progress:  [ 110 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* [exit]simplify:  Simplified to (- (fma (cos th) (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* th a2) (* th a2))))
* * * * [misc]progress:  [ 111 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (/ (* (pow a2 2) (cos th)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 112 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (/ (* (pow a2 2) (cos th)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 113 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (pow a1 2) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 114 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (pow a1 2) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 115 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (cos th) (/ (pow a1 2) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (cos th) (/ (pow a1 2) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 116 / 118 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* th a1) (* th a1))))
* * * * [misc]progress:  [ 117 / 118 ] simplifiying candidate #<alt-event (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 118 / 118 ] simplifiying candidate #<alt-event (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>","#<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (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))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (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))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 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(a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))"}* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (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 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 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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (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 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 (- (+ (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2))))) (sqrt (/ 1 (sqrt 2)))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2))))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 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]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 (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 th)))
* [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 (* (sqrt (/ 1 (sqrt 2))) (cos (/ 1 (/ 1 th)))) into (* (cos th) (sqrt (/ 1 (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in th
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -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 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th)))
* [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 (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 (/ 1 (- th))))) into (* (cos th) (sqrt (/ 1 (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))) 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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (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 (* (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]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 (* (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]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:  [ 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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* 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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (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 (- (/ 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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* 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 (- (/ 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 th 2) (pow a1 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)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 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 (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 (- (+ (* (/ 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 (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 (- (+ (* (/ 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 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 (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 (- (/ 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 (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 (/ (- 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (/ (- 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (/ (- 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 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (pow (/ (cos th) (sqrt 2)) 1) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 4 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 5 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (exp (log (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 6 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (log (exp (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 7 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cbrt (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 8 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (cbrt (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 9 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 10 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (sqrt (/ (cos th) (sqrt 2))) (sqrt (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 289 ] simplifiying candidate #<alt-delta (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: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 12 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 13 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (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)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 14 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (/ (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 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 15 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 16 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 18 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 19 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 20 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 21 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cos th) (/ 1 (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 23 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 24 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 25 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 26 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 27 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 28 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 29 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 30 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (log1p (expm1 (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 31 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (expm1 (log1p (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 32 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (pow (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 33 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (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)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 34 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (exp (log (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 35 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (log (exp (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 36 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (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)
* [exit]simplify:  Simplified to (* (* (cos th) (cos th)) (/ (/ (cos th) (sqrt 2)) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (* (cos th) (cos th)) (/ (/ (cos th) (sqrt 2)) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 37 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (* (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)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 38 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cbrt (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (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))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 39 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (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))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 40 / 289 ] simplifiying candidate #<alt-delta (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: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 41 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 42 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 43 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 44 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (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 (14 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 45 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 46 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (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 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 47 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 48 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 49 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 50 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 51 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 52 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (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)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 53 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 54 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 55 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 56 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 57 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 58 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 59 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 60 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (/ 1 (sqrt (sqrt 2)))) (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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 61 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (/ (sqrt (sqrt 2)) (cos th))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cos th))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 62 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (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)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 63 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 64 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 65 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt 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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* * * * [misc]progress:  [ 66 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 67 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) 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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 68 / 289 ] simplifiying candidate #<alt-delta (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 (/ (sqrt (sqrt 2)) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (cos th)))
* * * * [misc]progress:  [ 69 / 289 ] simplifiying candidate #<alt-delta (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 (sqrt 2)) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (cos th)))
* * * * [misc]progress:  [ 70 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (/ (sqrt (sqrt 2)) (cos th))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (cos th))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 71 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 72 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (expm1 (log1p (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 73 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) 1) (* a2 a2))))>
* * * * [misc]progress:  [ 74 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (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 (94 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 75 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (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 (90 enodes)
* [exit]simplify:  Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 76 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 77 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 78 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (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 (276 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2)))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2)))
* * * * [misc]progress:  [ 79 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (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 (224 enodes)
* * [misc]simplify:  iters left: 2 (453 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 80 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (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)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 81 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (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))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* * [misc]simplify:  iters left: 1 (495 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 82 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (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)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 83 / 289 ] simplifiying candidate #<alt-delta (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) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (- (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (- (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (- (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (- (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 84 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 85 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (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)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 86 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 87 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (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 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 88 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 89 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (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 (25 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 90 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 91 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 92 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 93 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 94 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 95 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 96 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (116 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 97 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 98 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (106 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 99 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (43 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 100 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (106 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 101 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (271 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 102 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (112 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 103 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 104 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 105 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt 1))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt 1))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 106 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 107 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (119 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 108 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 109 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 110 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 111 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 112 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 113 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (138 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 114 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (112 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 115 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt 1)) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt 1)) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 116 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 117 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 118 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 119 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (22 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 1) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 1) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 120 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (127 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 121 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 122 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 123 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (27 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (* (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 124 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 125 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (138 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 126 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (86 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 127 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (50 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 128 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (56 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 129 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (27 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 130 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (56 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 131 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (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 (17 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 132 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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 (27 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 133 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 134 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 135 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 136 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 137 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 138 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 139 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 140 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 141 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 142 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 143 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 144 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 145 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 146 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 147 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 148 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 149 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 150 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 151 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 152 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 153 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) 1)
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 154 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 155 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 156 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 157 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 158 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 159 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 160 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 161 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 162 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 163 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 164 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 165 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 166 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 167 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (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:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 168 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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 (26 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 169 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 170 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 171 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 172 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 173 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 174 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 175 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 176 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 177 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 178 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 179 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 180 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 181 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 182 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 183 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 184 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 185 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 186 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 187 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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 (17 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 188 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 189 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 1)
* [exit]simplify:  Simplified to (/ 1 1)
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 190 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 191 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 192 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 193 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))
* * * * [misc]progress:  [ 194 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 195 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 196 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 197 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 198 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 199 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 200 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 201 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 202 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 203 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 204 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 205 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 206 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 207 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 208 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 209 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 210 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 211 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (fabs (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 212 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 213 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 1))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 214 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 215 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 216 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2))))>
* * * * [misc]progress:  [ 217 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt 2))) (/ 1 (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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 218 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 219 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 220 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 221 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 222 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1)) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 223 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 224 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 225 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (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 (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 226 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 227 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (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 (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 228 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (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 (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 229 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (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 (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 230 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 231 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (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 (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 232 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 233 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (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 (sqrt 2)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (cbrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (cbrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 234 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (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 (sqrt 2)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 235 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 236 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 237 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2))))
* * * * [misc]progress:  [ 238 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) 1) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 239 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 240 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (sqrt (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt 2)) (cos th)) (sqrt (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 241 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 242 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 243 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt 2))) (/ (sqrt (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 244 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 1) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 245 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 246 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [exit]simplify:  Simplified to (sqrt 2)
* * * * [misc]progress:  [ 247 / 289 ] simplifiying candidate #<alt-delta (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)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (sqrt 2)
* [exit]simplify:  Simplified to (sqrt 2)
* * * * [misc]progress:  [ 248 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 249 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (log1p (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 250 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 251 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 252 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1)))
* * * * [misc]progress:  [ 253 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (+ (+ (log a1) (log a1)) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (+ (log a1) (log a1)) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 254 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (log (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (log (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 255 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 256 / 289 ] simplifiying candidate #<alt-delta (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 (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 257 / 289 ] simplifiying candidate #<alt-delta (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 (sqrt 2))) (sqrt (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 (361 enodes)
* [exit]simplify:  Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (* a1 a1) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (* a1 a1) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 258 / 289 ] simplifiying candidate #<alt-delta (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 (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))) (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))) (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 259 / 289 ] simplifiying candidate #<alt-delta (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 (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (pow (* (* a1 a1) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* a1 a1) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 260 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 261 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 262 / 289 ] simplifiying candidate #<alt-delta (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) (sqrt 2)) a1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a1 (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 263 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a1 a1) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a1 a1) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 264 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a1 a1) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a1 a1) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 265 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (cbrt (cos th))))
* * * * [misc]progress:  [ 266 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (cbrt (cos th))))
* * * * [misc]progress:  [ 267 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 268 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (cbrt (sqrt 2))) (* a1 (sqrt (cos th))))
* * * * [misc]progress:  [ 269 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a1 (sqrt (sqrt 2))) (* a1 (sqrt (cos th))))
* * * * [misc]progress:  [ 270 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 271 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 272 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 273 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 274 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a1 a1)))
* * * * [misc]progress:  [ 275 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (* a1 a1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a1 a1) (sqrt 2))
* * * * [misc]progress:  [ 276 / 289 ] simplifiying candidate #<alt-delta (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) (* a1 a1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* * * * [misc]progress:  [ 277 / 289 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* a1 a1) (/ (cos th) (sqrt 2))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 278 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (325 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* th th) (/ (sqrt 2) 1/2))) (* a1 a1) (/ (cos th) (/ (sqrt 2) (* a2 a2))))
* * * * [misc]progress:  [ 279 / 289 ] simplifiying candidate #<alt-event (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) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 280 / 289 ] simplifiying candidate #<alt-event (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) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 281 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (- (+ (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2))))) (sqrt (/ 1 (sqrt 2)))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2)))))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (- (+ (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2))))) (sqrt (/ 1 (sqrt 2)))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2)))))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (sqrt (/ 1 (sqrt 2))) (- (* (pow th 4) 1/24) (* 1/2 (* th th))) (sqrt (/ 1 (sqrt 2)))) (/ (sqrt (sqrt 2)) a2)) a2 (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 282 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (fma (/ (* a1 (cos th)) (sqrt 2)) a1 (* (sqrt (/ 1 (sqrt 2))) (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 283 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (fma (/ (* a1 (cos th)) (sqrt 2)) a1 (* (sqrt (/ 1 (sqrt 2))) (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))))
* * * * [misc]progress:  [ 284 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* (* th 1/2) th) (sqrt 2))) (* a2 a2) (* (* a1 a1) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 285 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 286 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 287 / 289 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (320 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (sqrt 2))) (/ (* (* th a1) (* th a1)) (/ (sqrt 2) 1/2)))
* * * * [misc]progress:  [ 288 / 289 ] simplifiying candidate #<alt-event (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)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 289 / 289 ] simplifiying candidate #<alt-event (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)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (/ (sqrt 2) (cos th))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>","#<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (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))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (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))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))>","#<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ 1 (/ (sqrt 2) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (λ (a1 a2 th) (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* 1/2 (* th th)) (sqrt 2))) (* a1 a1) (/ (cos th) (/ (sqrt 2) (* a2 a2)))))>","#<alt-delta (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>","#<alt-delta (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))))>","#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))>","#<alt-delta (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 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(a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))"}* * * * [misc]pick:  Picked  #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (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 (/ 1 (/ (sqrt 2) (cos th))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (sqrt 2)) (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* (* 1/2 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (* 1/2 (sqrt 2)) (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 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 (+ (* 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 1) (+ (* (sqrt 2) (/ 1/24 1)) (* 0 (/ 0 1)) (* (* 1/2 (sqrt 2)) (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into (* 5/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 5/24 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ (* 1/2 (sqrt 2)) (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 (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ 1 th))) into (/ (sqrt 2) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ 1 th))) into (/ (sqrt 2) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* [misc]approximate:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) in (th) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ -1 th))) into (/ (sqrt 2) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ -1 th)))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ -1 th))) into (/ (sqrt 2) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ -1 th)))) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos th)) 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 (cos th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (cos th) into (cos th)
* [misc]backup-simplify:  Simplify (sin th) into (sin th)
* [misc]backup-simplify:  Simplify (* (cos th) 1) into (cos th)
* [misc]backup-simplify:  Simplify (* (sin th) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos th) 0) into (cos th)
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos th)) into (/ (sqrt 2) (cos th))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos th))) 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 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
* [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 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos th))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos th)) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
* [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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ (* a1 0) (* 0 a1)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (sqrt 2)) (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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* (* 1/2 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (* 1/2 (sqrt 2)) (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 (- (/ 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 1) (+ (* (sqrt 2) (/ 1/24 1)) (* 0 (/ 0 1)) (* (* 1/2 (sqrt 2)) (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into (* 5/24 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 5/24 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ (* 1/2 (sqrt 2)) (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 (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 1/24 1)) (* (* 1/2 (sqrt 2)) (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* (* 5/24 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (* 5/24 (sqrt 2)) (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ (* 1/2 (sqrt 2)) (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 (- (/ 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 th 2) (pow a1 2)) (sqrt 2))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) (* (/ 1 a1) (/ 1 a1))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 th))) 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 (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ 1 th))) into (/ (sqrt 2) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) 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 (* (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ 1 th))) into (/ (sqrt 2) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) 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 (* (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) (* (/ 1 a1) (/ 1 a1))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 th))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ 1 th))) into (/ (sqrt 2) (cos (/ 1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ 1 th)))) 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)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ 1 th) into (/ 1 th)
* [misc]backup-simplify:  Simplify (cos (/ 1 th)) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (sin (/ 1 th)) into (sin (/ 1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1 th)) 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 (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 (- (+ (* (/ 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 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) 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 (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 (- (+ (* (/ 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 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (- (+ (* (/ 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 (cos (/ 1 th))) (+ (* (/ (sqrt 2) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ 1 th))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow 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 (* (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) in a1
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 (- th)))) 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 (cos (/ 1 (- th))) in a1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in a1
* [misc]taylor:  Taking taylor expansion of (- th) in a1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (- th) into (- th)
* [misc]backup-simplify:  Simplify (/ 1 (- th)) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ -1 th))) into (/ (sqrt 2) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ -1 th)))) 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 (* (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ -1 th))) into (/ (sqrt 2) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ -1 th)))) 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 (* (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (/ (sqrt 2) (cos (/ 1 (- th))))) in th
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (cos (/ 1 (- th)))) in th
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in th
* [misc]taylor:  Taking taylor expansion of 2 in th
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- th))) in th
* [misc]taylor:  Taking taylor expansion of (/ 1 (- th)) in th
* [misc]taylor:  Taking taylor expansion of (- th) in th
* [misc]taylor:  Taking taylor expansion of th in th
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- th))) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (/ (sqrt 2) (cos (/ -1 th))) into (/ (sqrt 2) (cos (/ -1 th)))
* [misc]backup-simplify:  Simplify (/ 1 (/ (sqrt 2) (cos (/ -1 th)))) 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)) (* (pow a1 2) (sqrt 2)))
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 th)) in a1
* [misc]taylor:  Taking taylor expansion of (/ -1 th) in a1
* [misc]taylor:  Taking taylor expansion of -1 in a1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of th in a1
* [misc]backup-simplify:  Simplify th into th
* [misc]backup-simplify:  Simplify (/ -1 th) into (/ -1 th)
* [misc]backup-simplify:  Simplify (cos (/ -1 th)) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (sin (/ -1 th)) into (sin (/ -1 th))
* [misc]taylor:  Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1
* [misc]taylor:  Taking taylor expansion of (pow a1 2) in a1
* [misc]taylor:  Taking taylor expansion of (sqrt 2) in a1
* [misc]taylor:  Taking taylor expansion of 2 in a1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1 th)) 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 (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 (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) 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 (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))) (* 0 (/ 0 (/ (sqrt 2) (cos (/ -1 th))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow 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:  [ 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)) 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 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 (+ (* 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 1 (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 (- (/ 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 (sqrt 2) in a2
* [misc]taylor:  Taking taylor expansion of 2 in a2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 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 (+ (* 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 (- (/ 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 th 2) (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]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]backup-simplify:  Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 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 (+ (* (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 (/ (- 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 (/ (- 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 (/ (* (pow a2 2) (cos th)) (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]backup-simplify:  Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 th)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
* [misc]backup-simplify:  Simplify (* (sqrt 2) 1) into (sqrt 2)
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2))
* [misc]backup-simplify:  Simplify (- 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 (+ (* (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 (/ (- 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 (/ (- 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 (/ (* (pow a2 2) (cos th)) (sqrt 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 2 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (expm1 (log1p (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 3 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (pow (/ (cos th) (sqrt 2)) 1) (* a2 a2))))>
* * * * [misc]progress:  [ 4 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 5 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (exp (log (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 6 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (log (exp (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 7 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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 (183 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* [exit]simplify:  Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2))
* * * * [misc]progress:  [ 8 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 9 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (cbrt (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 10 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ (cos th) (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 11 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (- (cos th)) (- (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (cos th))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos th))
* [exit]simplify:  Simplified to (- (cos th))
* [enter]simplify:  Simplifying (- (sqrt 2))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sqrt 2))
* [exit]simplify:  Simplified to (- (sqrt 2))
* * * * [misc]progress:  [ 12 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 13 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt (sqrt 2)) (cbrt (cos th))))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 14 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [enter]simplify:  Simplifying (/ (cbrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 15 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 16 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 17 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* [enter]simplify:  Simplifying (/ (sqrt (cos th)) (sqrt 2))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 18 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (cbrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 19 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [enter]simplify:  Simplifying (/ (cos th) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 20 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (cos th) (sqrt 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 21 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2))))>
* * * * [misc]progress:  [ 22 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* (cos th) (/ 1 (sqrt 2))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 23 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 24 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (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)
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 25 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (/ (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)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 26 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (/ (cos th) 1) (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)
* [exit]simplify:  Simplified to (cos th)
* [exit]simplify:  Simplified to (cos th)
* * * * [misc]progress:  [ 27 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cbrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cbrt (cos th)))
* * * * [misc]progress:  [ 28 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (sqrt (cos th)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* [exit]simplify:  Simplified to (/ (sqrt 2) (sqrt (cos th)))
* * * * [misc]progress:  [ 29 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (sqrt 2) (cos th))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 30 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (log1p (expm1 (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (/ 1 (/ (sqrt 2) (cos th))))
* * [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 (23 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (expm1 (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 31 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (expm1 (log1p (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (/ 1 (/ (sqrt 2) (cos th))))
* * [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 (23 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log1p (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 32 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (pow (/ (sqrt 2) (cos th)) -1) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 33 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (pow (/ (sqrt 2) (cos th)) (- 1)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* * * * [misc]progress:  [ 34 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (pow (/ 1 (/ (sqrt 2) (cos th))) 1) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 35 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (exp (- (- (log (sqrt 2)) (log (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt 2)) (log (cos th))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 36 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (exp (- (log (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt 2) (cos th))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* [exit]simplify:  Simplified to (- (log (cos th)) (log (sqrt 2)))
* * * * [misc]progress:  [ 37 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (exp (log (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (/ 1 (/ (sqrt 2) (cos th))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (log (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 38 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (log (exp (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (/ 1 (/ (sqrt 2) (cos th))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (exp (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 39 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (* (cbrt (/ 1 (/ (sqrt 2) (cos th)))) (cbrt (/ 1 (/ (sqrt 2) (cos th))))) (cbrt (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (/ (sqrt 2) (cos th)))) (cbrt (/ 1 (/ (sqrt 2) (cos th)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (cbrt (/ 1 (/ (sqrt 2) (cos th))))
* * [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 (23 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (cbrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 40 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (cbrt (* (* (/ 1 (/ (sqrt 2) (cos th))) (/ 1 (/ (sqrt 2) (cos th)))) (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (/ (sqrt 2) (cos th))) (/ 1 (/ (sqrt 2) (cos th)))) (/ 1 (/ (sqrt 2) (cos th))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (358 enodes)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* [exit]simplify:  Simplified to (pow (/ (cos th) (sqrt 2)) 3)
* * * * [misc]progress:  [ 41 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (sqrt (/ 1 (/ (sqrt 2) (cos th)))) (sqrt (/ 1 (/ (sqrt 2) (cos th))))) (* a1 a1)) (* (/ (cos th) (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 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [enter]simplify:  Simplifying (sqrt (/ 1 (/ (sqrt 2) (cos th))))
* * [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 (23 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* [exit]simplify:  Simplified to (sqrt (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 42 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (- 1) (- (/ (sqrt 2) (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (- 1)
* [exit]simplify:  Simplified to (- 1)
* [enter]simplify:  Simplifying (- (/ (sqrt 2) (cos th)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (- (sqrt 2)) (cos th))
* [exit]simplify:  Simplified to (/ (- (sqrt 2)) (cos th))
* * * * [misc]progress:  [ 43 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* 1 (/ 1 (/ (sqrt 2) (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 44 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* 1 (/ 1 (/ (sqrt 2) (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 2) (cos th)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt 2))
* * * * [misc]progress:  [ 45 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (/ (sqrt 2) (cos th)) 1)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 2) (cos th)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (19 enodes)
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* [exit]simplify:  Simplified to (/ (sqrt 2) (cos th))
* * * * [misc]progress:  [ 46 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (* (cbrt (/ (sqrt 2) (cos th))) (cbrt (/ (sqrt 2) (cos th))))) (cbrt (/ (sqrt 2) (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ (sqrt 2) (cos th))) (cbrt (/ (sqrt 2) (cos th)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (/ (sqrt 2) (cos th))) (cbrt (/ (sqrt 2) (cos th)))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (/ (sqrt 2) (cos th))) (cbrt (/ (sqrt 2) (cos th)))))
* * * * [misc]progress:  [ 47 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt (/ (sqrt 2) (cos th)))) (sqrt (/ (sqrt 2) (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ (sqrt 2) (cos th))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 48 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (cbrt (sqrt 2)) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (cos th)) (cbrt (cos th)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 49 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th)))) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cos th))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 50 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2))))
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2))))
* * * * [misc]progress:  [ 51 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ (sqrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt 2)) (* (cbrt (cos th)) (cbrt (cos th)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (cos th)))
* * * * [misc]progress:  [ 52 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt 2)) (sqrt (cos th))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 53 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ (sqrt (sqrt 2)) 1)) (/ (sqrt (sqrt 2)) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt 2)) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 54 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* [exit]simplify:  Simplified to (* (cbrt (cos th)) (cbrt (cos th)))
* * * * [misc]progress:  [ 55 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ 1 (sqrt (cos th)))) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (cos th))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (cos th))
* [exit]simplify:  Simplified to (sqrt (cos th))
* * * * [misc]progress:  [ 56 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (/ 1 1)) (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 1))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 57 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 1) (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 58 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 2)) (/ 1 (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 59 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt 2)) (cos th)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* [exit]simplify:  Simplified to (/ 1 (sqrt 2))
* * * * [misc]progress:  [ 60 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log1p (expm1 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (expm1 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (expm1 (* (cos th) (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 61 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (expm1 (log1p (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log1p (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (log1p (* (cos th) (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 62 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (313 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (* (cos th) (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 63 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (pow (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 64 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (+ (- (- (log (sqrt 2)) (log (cos th)))) (log (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (- (log (sqrt 2)) (log (cos th)))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (+ (- (+ (log a1) (log a1)) (log (sqrt 2))) (log (cos th)))
* [exit]simplify:  Simplified to (+ (- (+ (log a1) (log a1)) (log (sqrt 2))) (log (cos th)))
* * * * [misc]progress:  [ 65 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (+ (- (log (/ (sqrt 2) (cos th)))) (log (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (sqrt 2) (cos th)))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (- (log (* a1 a1)) (log (/ (sqrt 2) (cos th))))
* [exit]simplify:  Simplified to (- (log (* a1 a1)) (log (/ (sqrt 2) (cos th))))
* * * * [misc]progress:  [ 66 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (+ (log (/ 1 (/ (sqrt 2) (cos th)))) (log (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (/ (sqrt 2) (cos th)))) (log (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))
* [exit]simplify:  Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))
* * * * [misc]progress:  [ 67 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (exp (log (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (log (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (log (* (/ (* a1 a1) (sqrt 2)) (cos th)))
* [exit]simplify:  Simplified to (log (* (/ (* a1 a1) (sqrt 2)) (cos th)))
* * * * [misc]progress:  [ 68 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (log (exp (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (exp (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* [exit]simplify:  Simplified to (exp (* (/ (cos th) (sqrt 2)) (* a1 a1)))
* * * * [misc]progress:  [ 69 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (cbrt (* (* (* (/ 1 (/ (sqrt 2) (cos th))) (/ 1 (/ (sqrt 2) (cos th)))) (/ 1 (/ (sqrt 2) (cos th)))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ (sqrt 2) (cos th))) (/ 1 (/ (sqrt 2) (cos th)))) (/ 1 (/ (sqrt 2) (cos th)))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (402 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (pow a1 3)) (/ (sqrt 2) (pow a1 3))))
* [exit]simplify:  Simplified to (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (pow a1 3)) (/ (sqrt 2) (pow a1 3))))
* * * * [misc]progress:  [ 70 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cbrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (cbrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (cbrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (cbrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2)))) (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2)))) (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 71 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (cbrt (* (* (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (452 enodes)
* [exit]simplify:  Simplified to (pow (* (* a1 (cos th)) (/ a1 (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* a1 (cos th)) (/ a1 (sqrt 2))) 3)
* * * * [misc]progress:  [ 72 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (sqrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (cos th) (/ (* a1 a1) (sqrt 2))))
* * * * [misc]progress:  [ 73 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 74 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (/ (sqrt 2) (cos th))) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ (sqrt 2) (cos th))) a1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ a1 (/ (sqrt 2) (cos th)))
* [exit]simplify:  Simplified to (/ a1 (/ (sqrt 2) (cos th)))
* * * * [misc]progress:  [ 75 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* (cbrt (/ 1 (/ (sqrt 2) (cos th)))) (cbrt (/ 1 (/ (sqrt 2) (cos th))))) (* (cbrt (/ 1 (/ (sqrt 2) (cos th)))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (/ (sqrt 2) (cos th)))) (* a1 a1))
* * [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 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))
* [exit]simplify:  Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))
* * * * [misc]progress:  [ 76 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (sqrt (/ 1 (/ (sqrt 2) (cos th)))) (* (sqrt (/ 1 (/ (sqrt 2) (cos th)))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (/ (sqrt 2) (cos th)))) (* a1 a1))
* * [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 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))
* [exit]simplify:  Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))
* * * * [misc]progress:  [ 77 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (313 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (* (cos th) (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 78 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* 1 (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (313 enodes)
* [exit]simplify:  Simplified to (* (cos th) (/ (* a1 a1) (sqrt 2)))
* [exit]simplify:  Simplified to (* (cos th) (/ (* a1 a1) (sqrt 2)))
* * * * [misc]progress:  [ 79 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (sqrt 2)) (* (cos th) (* a1 a1))) (* (/ (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)
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* [exit]simplify:  Simplified to (* (* a1 a1) (cos th))
* * * * [misc]progress:  [ 80 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (/ (* 1 (* a1 a1)) (/ (sqrt 2) (cos th))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (* 1 (* a1 a1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (15 enodes)
* [exit]simplify:  Simplified to (* a1 a1)
* [exit]simplify:  Simplified to (* a1 a1)
* * * * [misc]progress:  [ 81 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (* a1 a1) (/ 1 (/ (sqrt 2) (cos th)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* * * * [misc]progress:  [ 82 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (log1p (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 83 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (expm1 (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (log1p (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (log1p (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log1p (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 84 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 85 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 1)))>
* * * * [misc]progress:  [ 86 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* [exit]simplify:  Simplified to (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2)))
* * * * [misc]progress:  [ 87 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (+ (+ (log a2) (log a2)) (log (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (+ (+ (log a2) (log a2)) (log (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 88 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (exp (log (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (log (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (log (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 89 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (log (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (exp (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (exp (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 90 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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)
* [exit]simplify:  Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 91 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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 (361 enodes)
* [exit]simplify:  Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (* a2 a2) (cos th)) (/ 2 (cos th))))
* [exit]simplify:  Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (* a2 a2) (cos th)) (/ 2 (cos th))))
* * * * [misc]progress:  [ 92 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2)))))
* [enter]simplify:  Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 93 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (cbrt (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (309 enodes)
* [exit]simplify:  Simplified to (pow (* (* a2 a2) (/ (cos th) (sqrt 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* a2 a2) (/ (cos th) (sqrt 2))) 3)
* * * * [misc]progress:  [ 94 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [enter]simplify:  Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 95 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* * * * [misc]progress:  [ 96 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) a2)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* a2 (cos th)) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a2 (cos th)) (sqrt 2))
* * * * [misc]progress:  [ 97 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 98 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2))))
* [exit]simplify:  Simplified to (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2))))
* * * * [misc]progress:  [ 99 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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 (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (cbrt (cos th))))
* * * * [misc]progress:  [ 100 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (cbrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (cbrt (cos th))))
* * * * [misc]progress:  [ 101 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 102 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (cbrt (sqrt 2))) (* a2 (sqrt (cos th))))
* * * * [misc]progress:  [ 103 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* 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))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (sqrt (cos th))))
* [exit]simplify:  Simplified to (* (/ a2 (sqrt (sqrt 2))) (* a2 (sqrt (cos th))))
* * * * [misc]progress:  [ 104 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (sqrt (cos th)) 1) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 105 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2)))
* * * * [misc]progress:  [ 106 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2)))
* * * * [misc]progress:  [ 107 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ 1 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 108 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* [exit]simplify:  Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2)))
* * * * [misc]progress:  [ 109 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt 2)) (* a2 a2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* a2 a2) (sqrt 2))
* [exit]simplify:  Simplified to (/ (* a2 a2) (sqrt 2))
* * * * [misc]progress:  [ 110 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2))))>
* [enter]simplify:  Simplifying (* (cos th) (* a2 a2))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* [exit]simplify:  Simplified to (* (* a2 a2) (cos th))
* * * * [misc]progress:  [ 111 / 123 ] simplifiying candidate #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (* a2 a2) (/ (cos th) (sqrt 2)))))>
* * * * [misc]progress:  [ 112 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (* (/ th (sqrt 2)) (* 1/2 th))) (* a2 a2) (* (* (cos th) a1) (/ a1 (sqrt 2))))
* * * * [misc]progress:  [ 113 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (484 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2)))
* * * * [misc]progress:  [ 114 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (484 enodes)
* [exit]simplify:  Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2)))
* * * * [misc]progress:  [ 115 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (* (- (+ (* 1/24 (/ (pow th 4) (sqrt 2))) (/ 1 (sqrt 2))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* [exit]simplify:  Simplified to (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* 1/2 (* th th)) (sqrt 2))) (* a1 a1) (/ (cos th) (/ (sqrt 2) (* a2 a2))))
* * * * [misc]progress:  [ 116 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 117 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [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 (97 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 118 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))>
* [enter]simplify:  Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (237 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* th a1) (* th a1))))
* * * * [misc]progress:  [ 119 / 123 ] simplifiying candidate #<alt-event (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 120 / 123 ] simplifiying candidate #<alt-event (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (fma a2 a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
* * * * [misc]progress:  [ 121 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2))))))>
* [enter]simplify:  Simplifying (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (* a1 a1) (sqrt 2)) (cos th) (/ (* a2 a2) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* a2 th) (* a2 th))))
* * * * [misc]progress:  [ 122 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (* (cos th) (fma a1 (/ a1 (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * * [misc]progress:  [ 123 / 123 ] simplifiying candidate #<alt-event (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2))))>
* [enter]simplify:  Simplifying (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (* (cos th) (fma a1 (/ a1 (sqrt 2)) (/ (* a2 a2) (sqrt 2))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)))> #<alt-delta (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> #<alt-delta (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))))> #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))))))> #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt 2) (cos th))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> #<alt-delta (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))))> #<alt-delta (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2))))> #<alt-delta (λ (a1 a2 th) (+ (* (cos th) (/ 1 (/ (sqrt 2) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> #<alt-delta (λ (a1 a2 th) (fma (- (fma 1/24 (/ (pow th 4) (sqrt 2)) (/ 1 (sqrt 2))) (/ (* 1/2 (* th th)) (sqrt 2))) (* a1 a1) (/ (cos th) (/ (sqrt 2) (* a2 a2)))))> #<alt-delta (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> #<alt-delta (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))))> #<alt-delta (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)))))> #<alt-delta (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]regimes:  Found splitpoints: (#s(sp 0 (/ (cos th) (sqrt 2)) +nan.0)) , with alts (#<alt-delta (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) (sqrt (sqrt 2)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* [exit]simplify:  Simplified to (/ (cos th) (sqrt (sqrt 2)))
* * * * [misc]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:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 15 of 8000 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 7 of 8000 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 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 8000 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 3561 additional inputs, on iter 1 have 4439 / 8000
* * * * [misc]points:  Computing exacts on every 222 of 3561 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 111 of 3561 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 55 of 3561 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 27 of 3561 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 13 of 3561 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 3561 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 3561 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 3561 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 1584 additional inputs, on iter 2 have 6416 / 8000
* * * * [misc]points:  Computing exacts on every 99 of 1584 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 49 of 1584 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 1584 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 1584 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 1584 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 1584 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 1584 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 681 additional inputs, on iter 3 have 7319 / 8000
* * * * [misc]points:  Computing exacts on every 42 of 681 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 681 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 681 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 681 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 681 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 681 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 296 additional inputs, on iter 4 have 7704 / 8000
* * * * [misc]points:  Computing exacts on every 18 of 296 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 296 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 296 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 296 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 296 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 55 additional inputs, on iter 6 have 7945 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 55 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 55 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 20 additional inputs, on iter 7 have 7980 / 8000
* * * * [misc]points:  Computing exacts for 20 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 11 additional inputs, on iter 8 have 7989 / 8000
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 9 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 10 have 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs