39.787 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.134 * * * [progress]: [2/2] Setting up program.
0.137 * [progress]: [Phase 2 of 3] Improving.
0.138 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.278 * * [progress]: iteration 1 / 4
0.278 * * * [progress]: picking best candidate
0.281 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
0.281 * * * [progress]: localizing error
0.302 * * * [progress]: generating rewritten candidates
0.302 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.323 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.343 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.419 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.459 * * * [progress]: generating series expansions
0.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.460 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.460 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
0.460 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.460 * [taylor]: Taking taylor expansion of (cos th) in th
0.460 * [taylor]: Taking taylor expansion of th in th
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.460 * [taylor]: Taking taylor expansion of 2.0 in th
0.460 * [backup-simplify]: Simplify 2.0 into 2.0
0.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.461 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.462 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.462 * [taylor]: Taking taylor expansion of (cos th) in th
0.462 * [taylor]: Taking taylor expansion of th in th
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.462 * [taylor]: Taking taylor expansion of 2.0 in th
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.463 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.463 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.464 * [backup-simplify]: Simplify (+ 0) into 0
0.464 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.468 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.469 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.470 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.473 * [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
0.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.477 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
0.478 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
0.481 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
0.481 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.481 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
0.481 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.481 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.481 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.481 * [taylor]: Taking taylor expansion of th in th
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.481 * [taylor]: Taking taylor expansion of 2.0 in th
0.481 * [backup-simplify]: Simplify 2.0 into 2.0
0.482 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.482 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.482 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.483 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.483 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.483 * [taylor]: Taking taylor expansion of th in th
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.483 * [taylor]: Taking taylor expansion of 2.0 in th
0.483 * [backup-simplify]: Simplify 2.0 into 2.0
0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.484 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.484 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.485 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.487 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.492 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.496 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.508 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.509 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.509 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
0.509 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.509 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.509 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.509 * [taylor]: Taking taylor expansion of -1 in th
0.509 * [backup-simplify]: Simplify -1 into -1
0.509 * [taylor]: Taking taylor expansion of th in th
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (/ -1 1) into -1
0.510 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.510 * [taylor]: Taking taylor expansion of 2.0 in th
0.510 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.512 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.512 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.512 * [taylor]: Taking taylor expansion of -1 in th
0.512 * [backup-simplify]: Simplify -1 into -1
0.512 * [taylor]: Taking taylor expansion of th in th
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (/ -1 1) into -1
0.512 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.512 * [taylor]: Taking taylor expansion of 2.0 in th
0.512 * [backup-simplify]: Simplify 2.0 into 2.0
0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.514 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.514 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.516 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.519 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.519 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.528 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.533 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.541 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.541 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
0.541 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.541 * [taylor]: Taking taylor expansion of (cos th) in th
0.541 * [taylor]: Taking taylor expansion of th in th
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.541 * [taylor]: Taking taylor expansion of 2.0 in th
0.541 * [backup-simplify]: Simplify 2.0 into 2.0
0.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.543 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.543 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.543 * [taylor]: Taking taylor expansion of (cos th) in th
0.543 * [taylor]: Taking taylor expansion of th in th
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.544 * [taylor]: Taking taylor expansion of 2.0 in th
0.544 * [backup-simplify]: Simplify 2.0 into 2.0
0.544 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.546 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.547 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.547 * [backup-simplify]: Simplify (+ 0) into 0
0.548 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.554 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.556 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.558 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.560 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
0.560 * [backup-simplify]: Simplify 0 into 0
0.562 * [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
0.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.565 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
0.566 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
0.577 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
0.577 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.577 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
0.577 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.577 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.577 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.577 * [taylor]: Taking taylor expansion of th in th
0.577 * [backup-simplify]: Simplify 0 into 0
0.577 * [backup-simplify]: Simplify 1 into 1
0.578 * [backup-simplify]: Simplify (/ 1 1) into 1
0.578 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.578 * [taylor]: Taking taylor expansion of 2.0 in th
0.578 * [backup-simplify]: Simplify 2.0 into 2.0
0.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.579 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.579 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.579 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.579 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.579 * [taylor]: Taking taylor expansion of th in th
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (/ 1 1) into 1
0.579 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.579 * [taylor]: Taking taylor expansion of 2.0 in th
0.579 * [backup-simplify]: Simplify 2.0 into 2.0
0.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.580 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.581 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.582 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.584 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.586 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.589 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.592 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.592 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.596 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.597 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.597 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
0.597 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.597 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.597 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.597 * [taylor]: Taking taylor expansion of -1 in th
0.597 * [backup-simplify]: Simplify -1 into -1
0.597 * [taylor]: Taking taylor expansion of th in th
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (/ -1 1) into -1
0.597 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.597 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.597 * [taylor]: Taking taylor expansion of 2.0 in th
0.597 * [backup-simplify]: Simplify 2.0 into 2.0
0.597 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.598 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.598 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.598 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.598 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.598 * [taylor]: Taking taylor expansion of -1 in th
0.598 * [backup-simplify]: Simplify -1 into -1
0.598 * [taylor]: Taking taylor expansion of th in th
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 1 into 1
0.598 * [backup-simplify]: Simplify (/ -1 1) into -1
0.599 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.599 * [taylor]: Taking taylor expansion of 2.0 in th
0.599 * [backup-simplify]: Simplify 2.0 into 2.0
0.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.600 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.600 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.601 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.601 * [backup-simplify]: Simplify 0 into 0
0.602 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.603 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.603 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.605 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.608 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.609 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.614 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.614 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.620 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.620 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.621 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.621 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.621 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
0.621 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
0.621 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
0.622 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.622 * [taylor]: Taking taylor expansion of a1 in a1
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 1 into 1
0.622 * [taylor]: Taking taylor expansion of (cos th) in a1
0.622 * [taylor]: Taking taylor expansion of th in a1
0.622 * [backup-simplify]: Simplify th into th
0.622 * [backup-simplify]: Simplify (cos th) into (cos th)
0.622 * [backup-simplify]: Simplify (sin th) into (sin th)
0.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.622 * [taylor]: Taking taylor expansion of 2.0 in a1
0.622 * [backup-simplify]: Simplify 2.0 into 2.0
0.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.623 * [backup-simplify]: Simplify (* 1 1) into 1
0.624 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.624 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.624 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
0.625 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.625 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
0.625 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
0.625 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.625 * [taylor]: Taking taylor expansion of a1 in th
0.625 * [backup-simplify]: Simplify a1 into a1
0.625 * [taylor]: Taking taylor expansion of (cos th) in th
0.625 * [taylor]: Taking taylor expansion of th in th
0.625 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify 1 into 1
0.625 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.625 * [taylor]: Taking taylor expansion of 2.0 in th
0.625 * [backup-simplify]: Simplify 2.0 into 2.0
0.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.626 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.627 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
0.627 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
0.627 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
0.627 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
0.627 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.627 * [taylor]: Taking taylor expansion of a1 in th
0.627 * [backup-simplify]: Simplify a1 into a1
0.627 * [taylor]: Taking taylor expansion of (cos th) in th
0.627 * [taylor]: Taking taylor expansion of th in th
0.627 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify 1 into 1
0.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.628 * [taylor]: Taking taylor expansion of 2.0 in th
0.628 * [backup-simplify]: Simplify 2.0 into 2.0
0.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.629 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.629 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
0.629 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
0.630 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
0.630 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.630 * [taylor]: Taking taylor expansion of a1 in a1
0.630 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify 1 into 1
0.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.630 * [taylor]: Taking taylor expansion of 2.0 in a1
0.630 * [backup-simplify]: Simplify 2.0 into 2.0
0.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.631 * [backup-simplify]: Simplify (* 1 1) into 1
0.632 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.633 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.634 * [backup-simplify]: Simplify (+ 0) into 0
0.634 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
0.634 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0
0.636 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.636 * [taylor]: Taking taylor expansion of 0 in a1
0.636 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.638 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.638 * [backup-simplify]: Simplify 0 into 0
0.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.640 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
0.641 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2)))
0.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.644 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2.0))))
0.644 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
0.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
0.644 * [taylor]: Taking taylor expansion of 1/2 in a1
0.644 * [backup-simplify]: Simplify 1/2 into 1/2
0.644 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
0.644 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.644 * [taylor]: Taking taylor expansion of a1 in a1
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.645 * [taylor]: Taking taylor expansion of 2.0 in a1
0.645 * [backup-simplify]: Simplify 2.0 into 2.0
0.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.646 * [backup-simplify]: Simplify (* 1 1) into 1
0.647 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.649 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
0.650 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.653 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.653 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.656 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.658 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
0.659 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.664 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
0.664 * [taylor]: Taking taylor expansion of 0 in a1
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.666 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
0.668 * [backup-simplify]: Simplify (- 0) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.672 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.672 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2.0)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
0.677 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a1) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0)))
0.677 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
0.677 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.677 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.677 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.677 * [taylor]: Taking taylor expansion of th in a1
0.677 * [backup-simplify]: Simplify th into th
0.677 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.678 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.678 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.678 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.678 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.678 * [taylor]: Taking taylor expansion of a1 in a1
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.678 * [taylor]: Taking taylor expansion of 2.0 in a1
0.678 * [backup-simplify]: Simplify 2.0 into 2.0
0.678 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.679 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.679 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.680 * [backup-simplify]: Simplify (- 0) into 0
0.680 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.680 * [backup-simplify]: Simplify (* 1 1) into 1
0.681 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
0.681 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.682 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.682 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.682 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.682 * [taylor]: Taking taylor expansion of th in th
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (/ 1 1) into 1
0.682 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.682 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.682 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.682 * [taylor]: Taking taylor expansion of a1 in th
0.682 * [backup-simplify]: Simplify a1 into a1
0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.682 * [taylor]: Taking taylor expansion of 2.0 in th
0.682 * [backup-simplify]: Simplify 2.0 into 2.0
0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.683 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.684 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
0.685 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0)))
0.685 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.685 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.685 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.685 * [taylor]: Taking taylor expansion of th in th
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify (/ 1 1) into 1
0.685 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.685 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.685 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.685 * [taylor]: Taking taylor expansion of a1 in th
0.685 * [backup-simplify]: Simplify a1 into a1
0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.685 * [taylor]: Taking taylor expansion of 2.0 in th
0.685 * [backup-simplify]: Simplify 2.0 into 2.0
0.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.686 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.687 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
0.688 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0)))
0.688 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.688 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.688 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.688 * [taylor]: Taking taylor expansion of th in a1
0.688 * [backup-simplify]: Simplify th into th
0.688 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.688 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.688 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.688 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.688 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.688 * [taylor]: Taking taylor expansion of a1 in a1
0.688 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.689 * [taylor]: Taking taylor expansion of 2.0 in a1
0.689 * [backup-simplify]: Simplify 2.0 into 2.0
0.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.690 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.690 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.690 * [backup-simplify]: Simplify (- 0) into 0
0.691 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.691 * [backup-simplify]: Simplify (* 1 1) into 1
0.692 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
0.692 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.693 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.693 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
0.694 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2.0))) into 0
0.695 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.695 * [taylor]: Taking taylor expansion of 0 in a1
0.695 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify (+ 0) into 0
0.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.698 * [backup-simplify]: Simplify (- 0) into 0
0.699 * [backup-simplify]: Simplify (+ 0 0) into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
0.702 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.704 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
0.713 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.715 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.715 * [taylor]: Taking taylor expansion of 0 in a1
0.715 * [backup-simplify]: Simplify 0 into 0
0.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.719 * [backup-simplify]: Simplify (- 0) into 0
0.719 * [backup-simplify]: Simplify (+ 0 0) into 0
0.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.725 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.725 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.727 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
0.728 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.731 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.731 * [taylor]: Taking taylor expansion of 0 in a1
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.736 * [backup-simplify]: Simplify (- 0) into 0
0.736 * [backup-simplify]: Simplify (+ 0 0) into 0
0.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.743 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.743 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.746 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
0.747 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
0.750 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.750 * [taylor]: Taking taylor expansion of 0 in a1
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.752 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
0.752 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
0.752 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.752 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.752 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.752 * [taylor]: Taking taylor expansion of -1 in a1
0.752 * [backup-simplify]: Simplify -1 into -1
0.752 * [taylor]: Taking taylor expansion of th in a1
0.752 * [backup-simplify]: Simplify th into th
0.753 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.753 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.753 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.753 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.753 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.753 * [taylor]: Taking taylor expansion of a1 in a1
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.753 * [taylor]: Taking taylor expansion of 2.0 in a1
0.753 * [backup-simplify]: Simplify 2.0 into 2.0
0.754 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.755 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.755 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.755 * [backup-simplify]: Simplify (- 0) into 0
0.755 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.756 * [backup-simplify]: Simplify (* 1 1) into 1
0.757 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
0.757 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.757 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.758 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.758 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.758 * [taylor]: Taking taylor expansion of -1 in th
0.758 * [backup-simplify]: Simplify -1 into -1
0.758 * [taylor]: Taking taylor expansion of th in th
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 1 into 1
0.758 * [backup-simplify]: Simplify (/ -1 1) into -1
0.758 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.758 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.758 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.758 * [taylor]: Taking taylor expansion of a1 in th
0.758 * [backup-simplify]: Simplify a1 into a1
0.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.759 * [taylor]: Taking taylor expansion of 2.0 in th
0.759 * [backup-simplify]: Simplify 2.0 into 2.0
0.759 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.760 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.761 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
0.761 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
0.761 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
0.761 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.761 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.761 * [taylor]: Taking taylor expansion of -1 in th
0.761 * [backup-simplify]: Simplify -1 into -1
0.761 * [taylor]: Taking taylor expansion of th in th
0.761 * [backup-simplify]: Simplify 0 into 0
0.761 * [backup-simplify]: Simplify 1 into 1
0.762 * [backup-simplify]: Simplify (/ -1 1) into -1
0.762 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.762 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
0.762 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.762 * [taylor]: Taking taylor expansion of a1 in th
0.762 * [backup-simplify]: Simplify a1 into a1
0.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.762 * [taylor]: Taking taylor expansion of 2.0 in th
0.762 * [backup-simplify]: Simplify 2.0 into 2.0
0.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.764 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.764 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
0.765 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
0.765 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
0.765 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.765 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.765 * [taylor]: Taking taylor expansion of -1 in a1
0.765 * [backup-simplify]: Simplify -1 into -1
0.765 * [taylor]: Taking taylor expansion of th in a1
0.765 * [backup-simplify]: Simplify th into th
0.765 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.765 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.765 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.765 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
0.765 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.765 * [taylor]: Taking taylor expansion of a1 in a1
0.765 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 1 into 1
0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.766 * [taylor]: Taking taylor expansion of 2.0 in a1
0.766 * [backup-simplify]: Simplify 2.0 into 2.0
0.766 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.767 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.767 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.767 * [backup-simplify]: Simplify (- 0) into 0
0.768 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.768 * [backup-simplify]: Simplify (* 1 1) into 1
0.769 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
0.769 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.770 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.770 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
0.771 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2.0))) into 0
0.773 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.773 * [taylor]: Taking taylor expansion of 0 in a1
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify (+ 0) into 0
0.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.774 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.776 * [backup-simplify]: Simplify (- 0) into 0
0.776 * [backup-simplify]: Simplify (+ 0 0) into 0
0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
0.779 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.781 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
0.782 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.784 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.784 * [taylor]: Taking taylor expansion of 0 in a1
0.784 * [backup-simplify]: Simplify 0 into 0
0.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.786 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.787 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.788 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.789 * [backup-simplify]: Simplify (- 0) into 0
0.789 * [backup-simplify]: Simplify (+ 0 0) into 0
0.790 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.795 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.795 * [backup-simplify]: Simplify 0 into 0
0.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.797 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
0.798 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.801 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.801 * [taylor]: Taking taylor expansion of 0 in a1
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.804 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.805 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.806 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.806 * [backup-simplify]: Simplify (- 0) into 0
0.807 * [backup-simplify]: Simplify (+ 0 0) into 0
0.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.813 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.814 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
0.815 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
0.817 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
0.817 * [taylor]: Taking taylor expansion of 0 in a1
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.818 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.818 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
0.818 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.818 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.818 * [taylor]: Taking taylor expansion of (cos th) in a2
0.818 * [taylor]: Taking taylor expansion of th in a2
0.818 * [backup-simplify]: Simplify th into th
0.818 * [backup-simplify]: Simplify (cos th) into (cos th)
0.819 * [backup-simplify]: Simplify (sin th) into (sin th)
0.819 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.819 * [taylor]: Taking taylor expansion of a2 in a2
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 1 into 1
0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.819 * [taylor]: Taking taylor expansion of 2.0 in a2
0.819 * [backup-simplify]: Simplify 2.0 into 2.0
0.819 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.819 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.819 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.820 * [backup-simplify]: Simplify (- 0) into 0
0.820 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.820 * [backup-simplify]: Simplify (* 1 1) into 1
0.820 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.820 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.820 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
0.820 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
0.820 * [taylor]: Taking taylor expansion of (cos th) in th
0.820 * [taylor]: Taking taylor expansion of th in th
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.820 * [taylor]: Taking taylor expansion of a2 in th
0.820 * [backup-simplify]: Simplify a2 into a2
0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.821 * [taylor]: Taking taylor expansion of 2.0 in th
0.821 * [backup-simplify]: Simplify 2.0 into 2.0
0.821 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.821 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.821 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
0.822 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
0.822 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
0.822 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
0.822 * [taylor]: Taking taylor expansion of (cos th) in th
0.822 * [taylor]: Taking taylor expansion of th in th
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 1 into 1
0.822 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.822 * [taylor]: Taking taylor expansion of a2 in th
0.822 * [backup-simplify]: Simplify a2 into a2
0.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.822 * [taylor]: Taking taylor expansion of 2.0 in th
0.822 * [backup-simplify]: Simplify 2.0 into 2.0
0.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.823 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.823 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
0.823 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
0.823 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
0.823 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.823 * [taylor]: Taking taylor expansion of a2 in a2
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 1 into 1
0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.823 * [taylor]: Taking taylor expansion of 2.0 in a2
0.823 * [backup-simplify]: Simplify 2.0 into 2.0
0.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.824 * [backup-simplify]: Simplify (* 1 1) into 1
0.825 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.825 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.825 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.826 * [backup-simplify]: Simplify (+ 0) into 0
0.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0
0.827 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.827 * [taylor]: Taking taylor expansion of 0 in a2
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.828 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2)))
0.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.832 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2.0))))
0.832 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
0.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
0.832 * [taylor]: Taking taylor expansion of 1/2 in a2
0.832 * [backup-simplify]: Simplify 1/2 into 1/2
0.832 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
0.832 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.832 * [taylor]: Taking taylor expansion of a2 in a2
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.832 * [taylor]: Taking taylor expansion of 2.0 in a2
0.832 * [backup-simplify]: Simplify 2.0 into 2.0
0.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.834 * [backup-simplify]: Simplify (* 1 1) into 1
0.835 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.836 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
0.837 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.840 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.840 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.843 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0
0.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.851 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
0.851 * [taylor]: Taking taylor expansion of 0 in a2
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.852 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
0.861 * [backup-simplify]: Simplify (- 0) into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.865 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.865 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2.0)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0))))
0.869 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.869 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
0.869 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.869 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.869 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.869 * [taylor]: Taking taylor expansion of th in a2
0.869 * [backup-simplify]: Simplify th into th
0.869 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.869 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.870 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.870 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.870 * [taylor]: Taking taylor expansion of 2.0 in a2
0.870 * [backup-simplify]: Simplify 2.0 into 2.0
0.870 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.871 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.871 * [taylor]: Taking taylor expansion of a2 in a2
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify 1 into 1
0.871 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.871 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.871 * [backup-simplify]: Simplify (- 0) into 0
0.871 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.872 * [backup-simplify]: Simplify (* 1 1) into 1
0.873 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.873 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.873 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.873 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.873 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.873 * [taylor]: Taking taylor expansion of th in th
0.873 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify 1 into 1
0.873 * [backup-simplify]: Simplify (/ 1 1) into 1
0.874 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.874 * [taylor]: Taking taylor expansion of 2.0 in th
0.874 * [backup-simplify]: Simplify 2.0 into 2.0
0.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.875 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.875 * [taylor]: Taking taylor expansion of a2 in th
0.875 * [backup-simplify]: Simplify a2 into a2
0.875 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.875 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.876 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.876 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.876 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.876 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.876 * [taylor]: Taking taylor expansion of th in th
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.876 * [backup-simplify]: Simplify (/ 1 1) into 1
0.877 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.877 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.877 * [taylor]: Taking taylor expansion of 2.0 in th
0.877 * [backup-simplify]: Simplify 2.0 into 2.0
0.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.878 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.878 * [taylor]: Taking taylor expansion of a2 in th
0.878 * [backup-simplify]: Simplify a2 into a2
0.878 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.878 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.879 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.879 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.879 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.879 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.879 * [taylor]: Taking taylor expansion of th in a2
0.879 * [backup-simplify]: Simplify th into th
0.879 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.879 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.879 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.879 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.879 * [taylor]: Taking taylor expansion of 2.0 in a2
0.879 * [backup-simplify]: Simplify 2.0 into 2.0
0.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.880 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.880 * [taylor]: Taking taylor expansion of a2 in a2
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 1 into 1
0.881 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.881 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.881 * [backup-simplify]: Simplify (- 0) into 0
0.881 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.881 * [backup-simplify]: Simplify (* 1 1) into 1
0.882 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.883 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.883 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.883 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.884 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
0.886 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.886 * [taylor]: Taking taylor expansion of 0 in a2
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify (+ 0) into 0
0.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.888 * [backup-simplify]: Simplify (- 0) into 0
0.889 * [backup-simplify]: Simplify (+ 0 0) into 0
0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.890 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.891 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.891 * [backup-simplify]: Simplify 0 into 0
0.892 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.894 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
0.896 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.896 * [taylor]: Taking taylor expansion of 0 in a2
0.896 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.898 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.899 * [backup-simplify]: Simplify (- 0) into 0
0.900 * [backup-simplify]: Simplify (+ 0 0) into 0
0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.904 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.908 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
0.910 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.910 * [taylor]: Taking taylor expansion of 0 in a2
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify 0 into 0
0.911 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.914 * [backup-simplify]: Simplify (- 0) into 0
0.915 * [backup-simplify]: Simplify (+ 0 0) into 0
0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.918 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.920 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.921 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.925 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
0.928 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.928 * [taylor]: Taking taylor expansion of 0 in a2
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.929 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.929 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
0.929 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.929 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.929 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.929 * [taylor]: Taking taylor expansion of -1 in a2
0.929 * [backup-simplify]: Simplify -1 into -1
0.929 * [taylor]: Taking taylor expansion of th in a2
0.929 * [backup-simplify]: Simplify th into th
0.929 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.930 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.930 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.930 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.930 * [taylor]: Taking taylor expansion of 2.0 in a2
0.930 * [backup-simplify]: Simplify 2.0 into 2.0
0.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.931 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.931 * [taylor]: Taking taylor expansion of a2 in a2
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.931 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.931 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.931 * [backup-simplify]: Simplify (- 0) into 0
0.932 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.932 * [backup-simplify]: Simplify (* 1 1) into 1
0.933 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.933 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.933 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.933 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.933 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.933 * [taylor]: Taking taylor expansion of -1 in th
0.933 * [backup-simplify]: Simplify -1 into -1
0.933 * [taylor]: Taking taylor expansion of th in th
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (/ -1 1) into -1
0.934 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.934 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.934 * [taylor]: Taking taylor expansion of 2.0 in th
0.934 * [backup-simplify]: Simplify 2.0 into 2.0
0.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.935 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.935 * [taylor]: Taking taylor expansion of a2 in th
0.935 * [backup-simplify]: Simplify a2 into a2
0.935 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.936 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.936 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.936 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.936 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.936 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.936 * [taylor]: Taking taylor expansion of -1 in th
0.936 * [backup-simplify]: Simplify -1 into -1
0.936 * [taylor]: Taking taylor expansion of th in th
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.937 * [backup-simplify]: Simplify (/ -1 1) into -1
0.937 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.937 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.937 * [taylor]: Taking taylor expansion of 2.0 in th
0.937 * [backup-simplify]: Simplify 2.0 into 2.0
0.937 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.938 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.938 * [taylor]: Taking taylor expansion of a2 in th
0.938 * [backup-simplify]: Simplify a2 into a2
0.938 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.939 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.939 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.939 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.940 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.940 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.940 * [taylor]: Taking taylor expansion of -1 in a2
0.940 * [backup-simplify]: Simplify -1 into -1
0.940 * [taylor]: Taking taylor expansion of th in a2
0.940 * [backup-simplify]: Simplify th into th
0.940 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.940 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.940 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.940 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.940 * [taylor]: Taking taylor expansion of 2.0 in a2
0.940 * [backup-simplify]: Simplify 2.0 into 2.0
0.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.941 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.941 * [taylor]: Taking taylor expansion of a2 in a2
0.941 * [backup-simplify]: Simplify 0 into 0
0.941 * [backup-simplify]: Simplify 1 into 1
0.941 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.941 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.942 * [backup-simplify]: Simplify (- 0) into 0
0.942 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.942 * [backup-simplify]: Simplify (* 1 1) into 1
0.943 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.943 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.944 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.944 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.945 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
0.946 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.946 * [taylor]: Taking taylor expansion of 0 in a2
0.946 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify (+ 0) into 0
0.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.947 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.949 * [backup-simplify]: Simplify (- 0) into 0
0.949 * [backup-simplify]: Simplify (+ 0 0) into 0
0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.951 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.952 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.954 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
0.957 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.957 * [taylor]: Taking taylor expansion of 0 in a2
0.957 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.959 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.960 * [backup-simplify]: Simplify (- 0) into 0
0.961 * [backup-simplify]: Simplify (+ 0 0) into 0
0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.964 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.966 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.970 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
0.972 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.972 * [taylor]: Taking taylor expansion of 0 in a2
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify 0 into 0
0.974 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.975 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.977 * [backup-simplify]: Simplify (- 0) into 0
0.978 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.980 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.982 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
0.987 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
0.988 * [taylor]: Taking taylor expansion of 0 in a2
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.988 * * * [progress]: simplifying candidates
0.991 * [simplify]: Simplifying:
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ 1 (sqrt 2.0)) (* a1 a1))
  (* (cos th) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a2) (log a2)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a2 a2)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a2) (log a2)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (cos th) (sqrt 2.0)) a2)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ 1 (sqrt 2.0)) (* a2 a2))
  (* (cos th) (* a2 a2))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0))))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
1.872 * * * [progress]: adding candidates to table
2.602 * * [progress]: iteration 2 / 4
2.602 * * * [progress]: picking best candidate
2.646 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
2.646 * * * [progress]: localizing error
2.683 * * * [progress]: generating rewritten candidates
2.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.705 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
2.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.796 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.038 * * * [progress]: generating series expansions
3.038 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
3.039 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.039 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
3.039 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
3.039 * [taylor]: Taking taylor expansion of (cos th) in th
3.039 * [taylor]: Taking taylor expansion of th in th
3.039 * [backup-simplify]: Simplify 0 into 0
3.039 * [backup-simplify]: Simplify 1 into 1
3.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.039 * [taylor]: Taking taylor expansion of 2.0 in th
3.039 * [backup-simplify]: Simplify 2.0 into 2.0
3.039 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.041 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.041 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
3.041 * [taylor]: Taking taylor expansion of (cos th) in th
3.041 * [taylor]: Taking taylor expansion of th in th
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.041 * [taylor]: Taking taylor expansion of 2.0 in th
3.041 * [backup-simplify]: Simplify 2.0 into 2.0
3.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.042 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.043 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.043 * [backup-simplify]: Simplify (+ 0) into 0
3.044 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.044 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.050 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.052 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.057 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.060 * [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
3.061 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.064 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
3.065 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
3.067 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
3.068 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.068 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
3.068 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
3.068 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.068 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.068 * [taylor]: Taking taylor expansion of th in th
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (/ 1 1) into 1
3.068 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.068 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.068 * [taylor]: Taking taylor expansion of 2.0 in th
3.068 * [backup-simplify]: Simplify 2.0 into 2.0
3.069 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.069 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.069 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
3.070 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.070 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.070 * [taylor]: Taking taylor expansion of th in th
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (/ 1 1) into 1
3.070 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.070 * [taylor]: Taking taylor expansion of 2.0 in th
3.070 * [backup-simplify]: Simplify 2.0 into 2.0
3.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.071 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.071 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.072 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.072 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.082 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.082 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.085 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.088 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.094 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.094 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.100 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.100 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.101 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.101 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
3.101 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
3.102 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.102 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.102 * [taylor]: Taking taylor expansion of -1 in th
3.102 * [backup-simplify]: Simplify -1 into -1
3.102 * [taylor]: Taking taylor expansion of th in th
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (/ -1 1) into -1
3.102 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.102 * [taylor]: Taking taylor expansion of 2.0 in th
3.102 * [backup-simplify]: Simplify 2.0 into 2.0
3.103 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.104 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.104 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
3.104 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.104 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.104 * [taylor]: Taking taylor expansion of -1 in th
3.104 * [backup-simplify]: Simplify -1 into -1
3.104 * [taylor]: Taking taylor expansion of th in th
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (/ -1 1) into -1
3.105 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.105 * [taylor]: Taking taylor expansion of 2.0 in th
3.105 * [backup-simplify]: Simplify 2.0 into 2.0
3.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.107 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.107 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.109 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.112 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.112 * [backup-simplify]: Simplify 0 into 0
3.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.116 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.121 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.121 * [backup-simplify]: Simplify 0 into 0
3.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.124 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.124 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.127 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.127 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.128 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
3.128 * [backup-simplify]: Simplify (/ (cos th) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
3.128 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
3.128 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
3.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
3.128 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
3.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.128 * [taylor]: Taking taylor expansion of 2.0 in th
3.128 * [backup-simplify]: Simplify 2.0 into 2.0
3.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.130 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.131 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.132 * [taylor]: Taking taylor expansion of (cos th) in th
3.132 * [taylor]: Taking taylor expansion of th in th
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 1 into 1
3.132 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
3.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
3.132 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
3.132 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.132 * [taylor]: Taking taylor expansion of 2.0 in th
3.132 * [backup-simplify]: Simplify 2.0 into 2.0
3.132 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.133 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.134 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.135 * [taylor]: Taking taylor expansion of (cos th) in th
3.135 * [taylor]: Taking taylor expansion of th in th
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
3.138 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.138 * [backup-simplify]: Simplify (+ 0) into 0
3.139 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.144 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
3.146 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
3.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.150 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.152 * [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
3.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.163 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
3.165 * [backup-simplify]: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
3.174 * [backup-simplify]: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) (pow th 2)) (sqrt (/ 1 (sqrt 2.0))))) into (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
3.175 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
3.175 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
3.175 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
3.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
3.175 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
3.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.175 * [taylor]: Taking taylor expansion of 2.0 in th
3.175 * [backup-simplify]: Simplify 2.0 into 2.0
3.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.177 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.179 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.182 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.182 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.182 * [taylor]: Taking taylor expansion of th in th
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (/ 1 1) into 1
3.183 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.183 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
3.183 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
3.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.183 * [taylor]: Taking taylor expansion of 2.0 in th
3.183 * [backup-simplify]: Simplify 2.0 into 2.0
3.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.185 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.187 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.189 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.189 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.189 * [taylor]: Taking taylor expansion of th in th
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.192 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
3.193 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
3.194 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.200 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.210 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
3.210 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.217 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))) into 0
3.217 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.224 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
3.224 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.232 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))))) into 0
3.232 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))))) into 0
3.240 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
3.243 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
3.243 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
3.243 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
3.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
3.243 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
3.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.243 * [taylor]: Taking taylor expansion of 2.0 in th
3.243 * [backup-simplify]: Simplify 2.0 into 2.0
3.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.245 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.247 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.249 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.249 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.249 * [taylor]: Taking taylor expansion of -1 in th
3.249 * [backup-simplify]: Simplify -1 into -1
3.249 * [taylor]: Taking taylor expansion of th in th
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.250 * [backup-simplify]: Simplify (/ -1 1) into -1
3.250 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.250 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
3.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
3.250 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
3.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.250 * [taylor]: Taking taylor expansion of 2.0 in th
3.250 * [backup-simplify]: Simplify 2.0 into 2.0
3.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.252 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.253 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
3.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.256 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.256 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.256 * [taylor]: Taking taylor expansion of -1 in th
3.256 * [backup-simplify]: Simplify -1 into -1
3.256 * [taylor]: Taking taylor expansion of th in th
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 1 into 1
3.256 * [backup-simplify]: Simplify (/ -1 1) into -1
3.257 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.258 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
3.260 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
3.261 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.265 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.266 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.272 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
3.272 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.278 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
3.278 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.285 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))))) into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
3.293 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))))) into 0
3.293 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
3.295 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
3.297 * [backup-simplify]: Simplify (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos th) (sqrt 2.0))
3.297 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
3.297 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
3.297 * [taylor]: Taking taylor expansion of (cos th) in th
3.297 * [taylor]: Taking taylor expansion of th in th
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 1 into 1
3.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.297 * [taylor]: Taking taylor expansion of 2.0 in th
3.297 * [backup-simplify]: Simplify 2.0 into 2.0
3.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.299 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.299 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
3.299 * [taylor]: Taking taylor expansion of (cos th) in th
3.300 * [taylor]: Taking taylor expansion of th in th
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.300 * [taylor]: Taking taylor expansion of 2.0 in th
3.300 * [backup-simplify]: Simplify 2.0 into 2.0
3.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.302 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.303 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.303 * [backup-simplify]: Simplify (+ 0) into 0
3.305 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.311 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.313 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.318 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.320 * [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
3.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.324 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
3.325 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
3.328 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
3.329 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.329 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
3.329 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
3.329 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.329 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.329 * [taylor]: Taking taylor expansion of th in th
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (/ 1 1) into 1
3.329 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.329 * [taylor]: Taking taylor expansion of 2.0 in th
3.329 * [backup-simplify]: Simplify 2.0 into 2.0
3.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.330 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.330 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
3.330 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.330 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.330 * [taylor]: Taking taylor expansion of th in th
3.330 * [backup-simplify]: Simplify 0 into 0
3.330 * [backup-simplify]: Simplify 1 into 1
3.331 * [backup-simplify]: Simplify (/ 1 1) into 1
3.331 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.331 * [taylor]: Taking taylor expansion of 2.0 in th
3.331 * [backup-simplify]: Simplify 2.0 into 2.0
3.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.332 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.332 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.333 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.333 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.335 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.335 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.337 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.337 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.340 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.340 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.350 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.350 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.353 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.353 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.355 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.355 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
3.355 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
3.355 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.355 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.355 * [taylor]: Taking taylor expansion of -1 in th
3.355 * [backup-simplify]: Simplify -1 into -1
3.355 * [taylor]: Taking taylor expansion of th in th
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (/ -1 1) into -1
3.355 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.355 * [taylor]: Taking taylor expansion of 2.0 in th
3.355 * [backup-simplify]: Simplify 2.0 into 2.0
3.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.356 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.356 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
3.356 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.356 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.356 * [taylor]: Taking taylor expansion of -1 in th
3.356 * [backup-simplify]: Simplify -1 into -1
3.356 * [taylor]: Taking taylor expansion of th in th
3.357 * [backup-simplify]: Simplify 0 into 0
3.357 * [backup-simplify]: Simplify 1 into 1
3.357 * [backup-simplify]: Simplify (/ -1 1) into -1
3.357 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.357 * [taylor]: Taking taylor expansion of 2.0 in th
3.357 * [backup-simplify]: Simplify 2.0 into 2.0
3.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.358 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.358 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.359 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.359 * [backup-simplify]: Simplify 0 into 0
3.360 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.361 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.363 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.366 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.366 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.369 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.369 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.373 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.373 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
3.374 * [backup-simplify]: Simplify (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
3.374 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
3.374 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
3.374 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
3.375 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.375 * [taylor]: Taking taylor expansion of a1 in a1
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [taylor]: Taking taylor expansion of (cos th) in a1
3.375 * [taylor]: Taking taylor expansion of th in a1
3.375 * [backup-simplify]: Simplify th into th
3.375 * [backup-simplify]: Simplify (cos th) into (cos th)
3.375 * [backup-simplify]: Simplify (sin th) into (sin th)
3.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.375 * [taylor]: Taking taylor expansion of 2.0 in a1
3.375 * [backup-simplify]: Simplify 2.0 into 2.0
3.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.376 * [backup-simplify]: Simplify (* 1 1) into 1
3.376 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
3.376 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.377 * [backup-simplify]: Simplify (- 0) into 0
3.377 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
3.377 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
3.377 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.377 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
3.377 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
3.377 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.377 * [taylor]: Taking taylor expansion of a1 in th
3.377 * [backup-simplify]: Simplify a1 into a1
3.377 * [taylor]: Taking taylor expansion of (cos th) in th
3.377 * [taylor]: Taking taylor expansion of th in th
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.378 * [taylor]: Taking taylor expansion of 2.0 in th
3.378 * [backup-simplify]: Simplify 2.0 into 2.0
3.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.379 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.379 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
3.379 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
3.380 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
3.380 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
3.380 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.380 * [taylor]: Taking taylor expansion of a1 in th
3.380 * [backup-simplify]: Simplify a1 into a1
3.380 * [taylor]: Taking taylor expansion of (cos th) in th
3.380 * [taylor]: Taking taylor expansion of th in th
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify 1 into 1
3.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.380 * [taylor]: Taking taylor expansion of 2.0 in th
3.380 * [backup-simplify]: Simplify 2.0 into 2.0
3.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.381 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.381 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
3.382 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
3.382 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
3.382 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.382 * [taylor]: Taking taylor expansion of a1 in a1
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.382 * [taylor]: Taking taylor expansion of 2.0 in a1
3.382 * [backup-simplify]: Simplify 2.0 into 2.0
3.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.384 * [backup-simplify]: Simplify (* 1 1) into 1
3.385 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.385 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.386 * [backup-simplify]: Simplify (+ 0) into 0
3.386 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.387 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0
3.388 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.388 * [taylor]: Taking taylor expansion of 0 in a1
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify 0 into 0
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.390 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.392 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
3.393 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2)))
3.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.397 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2.0))))
3.397 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
3.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
3.397 * [taylor]: Taking taylor expansion of 1/2 in a1
3.397 * [backup-simplify]: Simplify 1/2 into 1/2
3.397 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
3.397 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.398 * [taylor]: Taking taylor expansion of a1 in a1
3.398 * [backup-simplify]: Simplify 0 into 0
3.398 * [backup-simplify]: Simplify 1 into 1
3.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.398 * [taylor]: Taking taylor expansion of 2.0 in a1
3.398 * [backup-simplify]: Simplify 2.0 into 2.0
3.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.399 * [backup-simplify]: Simplify (* 1 1) into 1
3.400 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.402 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
3.404 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.407 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.407 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.411 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.411 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.414 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
3.415 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
3.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.421 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
3.421 * [taylor]: Taking taylor expansion of 0 in a1
3.421 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify 0 into 0
3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.423 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
3.425 * [backup-simplify]: Simplify (- 0) into 0
3.425 * [backup-simplify]: Simplify 0 into 0
3.425 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.428 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2.0)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
3.432 * [backup-simplify]: Simplify (* (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ 1 a1) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0)))
3.432 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
3.432 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
3.432 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
3.432 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
3.432 * [taylor]: Taking taylor expansion of th in a1
3.432 * [backup-simplify]: Simplify th into th
3.432 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.433 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.433 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.433 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
3.433 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.433 * [taylor]: Taking taylor expansion of a1 in a1
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 1 into 1
3.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.433 * [taylor]: Taking taylor expansion of 2.0 in a1
3.433 * [backup-simplify]: Simplify 2.0 into 2.0
3.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.434 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
3.434 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
3.434 * [backup-simplify]: Simplify (- 0) into 0
3.434 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
3.434 * [backup-simplify]: Simplify (* 1 1) into 1
3.435 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
3.435 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.435 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
3.435 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.435 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.435 * [taylor]: Taking taylor expansion of th in th
3.435 * [backup-simplify]: Simplify 0 into 0
3.435 * [backup-simplify]: Simplify 1 into 1
3.435 * [backup-simplify]: Simplify (/ 1 1) into 1
3.436 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.436 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
3.436 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.436 * [taylor]: Taking taylor expansion of a1 in th
3.436 * [backup-simplify]: Simplify a1 into a1
3.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.436 * [taylor]: Taking taylor expansion of 2.0 in th
3.436 * [backup-simplify]: Simplify 2.0 into 2.0
3.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.436 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.437 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
3.437 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0)))
3.437 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th
3.437 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.437 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.437 * [taylor]: Taking taylor expansion of th in th
3.437 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify 1 into 1
3.437 * [backup-simplify]: Simplify (/ 1 1) into 1
3.438 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.438 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
3.438 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.438 * [taylor]: Taking taylor expansion of a1 in th
3.438 * [backup-simplify]: Simplify a1 into a1
3.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.438 * [taylor]: Taking taylor expansion of 2.0 in th
3.438 * [backup-simplify]: Simplify 2.0 into 2.0
3.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.438 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.439 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
3.439 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0)))
3.439 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
3.439 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
3.439 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
3.439 * [taylor]: Taking taylor expansion of th in a1
3.439 * [backup-simplify]: Simplify th into th
3.439 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.439 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.439 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.440 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
3.440 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.440 * [taylor]: Taking taylor expansion of a1 in a1
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify 1 into 1
3.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.440 * [taylor]: Taking taylor expansion of 2.0 in a1
3.440 * [backup-simplify]: Simplify 2.0 into 2.0
3.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.440 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
3.440 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
3.441 * [backup-simplify]: Simplify (- 0) into 0
3.441 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
3.441 * [backup-simplify]: Simplify (* 1 1) into 1
3.442 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
3.442 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.442 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
3.442 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.443 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2.0))) into 0
3.444 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.444 * [taylor]: Taking taylor expansion of 0 in a1
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify (+ 0) into 0
3.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
3.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
3.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
3.445 * [backup-simplify]: Simplify (- 0) into 0
3.446 * [backup-simplify]: Simplify (+ 0 0) into 0
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
3.448 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.448 * [backup-simplify]: Simplify 0 into 0
3.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.449 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
3.449 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.450 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.451 * [taylor]: Taking taylor expansion of 0 in a1
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
3.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
3.453 * [backup-simplify]: Simplify (- 0) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.457 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.457 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.459 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
3.461 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.464 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.464 * [taylor]: Taking taylor expansion of 0 in a1
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.477 * [backup-simplify]: Simplify (- 0) into 0
3.478 * [backup-simplify]: Simplify (+ 0 0) into 0
3.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.484 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.485 * [backup-simplify]: Simplify 0 into 0
3.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.487 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
3.488 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
3.490 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.490 * [taylor]: Taking taylor expansion of 0 in a1
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify 0 into 0
3.490 * [backup-simplify]: Simplify 0 into 0
3.491 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
3.492 * [backup-simplify]: Simplify (* (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
3.492 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0
3.492 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
3.492 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
3.492 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
3.492 * [taylor]: Taking taylor expansion of -1 in a1
3.492 * [backup-simplify]: Simplify -1 into -1
3.492 * [taylor]: Taking taylor expansion of th in a1
3.492 * [backup-simplify]: Simplify th into th
3.492 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.492 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.492 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.492 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
3.492 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.492 * [taylor]: Taking taylor expansion of a1 in a1
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.492 * [taylor]: Taking taylor expansion of 2.0 in a1
3.492 * [backup-simplify]: Simplify 2.0 into 2.0
3.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.493 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
3.493 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
3.493 * [backup-simplify]: Simplify (- 0) into 0
3.493 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
3.494 * [backup-simplify]: Simplify (* 1 1) into 1
3.494 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
3.494 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.494 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
3.494 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.494 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.495 * [taylor]: Taking taylor expansion of -1 in th
3.495 * [backup-simplify]: Simplify -1 into -1
3.495 * [taylor]: Taking taylor expansion of th in th
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 1 into 1
3.495 * [backup-simplify]: Simplify (/ -1 1) into -1
3.495 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.495 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
3.495 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.495 * [taylor]: Taking taylor expansion of a1 in th
3.495 * [backup-simplify]: Simplify a1 into a1
3.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.495 * [taylor]: Taking taylor expansion of 2.0 in th
3.495 * [backup-simplify]: Simplify 2.0 into 2.0
3.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.496 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.496 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
3.497 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
3.497 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
3.497 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
3.497 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.497 * [taylor]: Taking taylor expansion of -1 in th
3.497 * [backup-simplify]: Simplify -1 into -1
3.497 * [taylor]: Taking taylor expansion of th in th
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 1 into 1
3.497 * [backup-simplify]: Simplify (/ -1 1) into -1
3.497 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.497 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
3.497 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.497 * [taylor]: Taking taylor expansion of a1 in th
3.497 * [backup-simplify]: Simplify a1 into a1
3.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.497 * [taylor]: Taking taylor expansion of 2.0 in th
3.497 * [backup-simplify]: Simplify 2.0 into 2.0
3.497 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.498 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.498 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
3.499 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
3.499 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
3.499 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
3.499 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
3.499 * [taylor]: Taking taylor expansion of -1 in a1
3.499 * [backup-simplify]: Simplify -1 into -1
3.499 * [taylor]: Taking taylor expansion of th in a1
3.499 * [backup-simplify]: Simplify th into th
3.499 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.499 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.499 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.499 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
3.499 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.499 * [taylor]: Taking taylor expansion of a1 in a1
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify 1 into 1
3.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.499 * [taylor]: Taking taylor expansion of 2.0 in a1
3.499 * [backup-simplify]: Simplify 2.0 into 2.0
3.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.500 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
3.500 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
3.500 * [backup-simplify]: Simplify (- 0) into 0
3.500 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
3.500 * [backup-simplify]: Simplify (* 1 1) into 1
3.501 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
3.501 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.502 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
3.502 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.502 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2.0))) into 0
3.503 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.503 * [taylor]: Taking taylor expansion of 0 in a1
3.503 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify (+ 0) into 0
3.504 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
3.504 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
3.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
3.505 * [backup-simplify]: Simplify (- 0) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
3.507 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.507 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.508 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
3.509 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.510 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.510 * [taylor]: Taking taylor expansion of 0 in a1
3.510 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
3.511 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.512 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
3.512 * [backup-simplify]: Simplify (- 0) into 0
3.512 * [backup-simplify]: Simplify (+ 0 0) into 0
3.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.516 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.518 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.522 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.522 * [taylor]: Taking taylor expansion of 0 in a1
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.524 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.526 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.527 * [backup-simplify]: Simplify (- 0) into 0
3.527 * [backup-simplify]: Simplify (+ 0 0) into 0
3.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.534 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.534 * [backup-simplify]: Simplify 0 into 0
3.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.536 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
3.537 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
3.540 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2.0))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2.0)))))) into 0
3.540 * [taylor]: Taking taylor expansion of 0 in a1
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 0 into 0
3.540 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
3.541 * * * [progress]: simplifying candidates
3.567 * [simplify]: Simplifying:
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (log (cos th)) (log (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 1)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
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  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a1 a1))
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  (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
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  (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
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  (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
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  (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
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  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ 1 (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0))))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.613 * * * [progress]: adding candidates to table
7.704 * * [progress]: iteration 3 / 4
7.704 * * * [progress]: picking best candidate
7.737 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>
7.737 * * * [progress]: localizing error
7.754 * * * [progress]: generating rewritten candidates
7.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
7.777 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
7.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
7.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
7.981 * * * [progress]: generating series expansions
7.981 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
7.983 * [backup-simplify]: Simplify (/ (cos th) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
7.983 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
7.983 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
7.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
7.983 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
7.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.983 * [taylor]: Taking taylor expansion of 2.0 in th
7.983 * [backup-simplify]: Simplify 2.0 into 2.0
7.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.985 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.987 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.990 * [taylor]: Taking taylor expansion of (cos th) in th
7.990 * [taylor]: Taking taylor expansion of th in th
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.990 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
7.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
7.990 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
7.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.990 * [taylor]: Taking taylor expansion of 2.0 in th
7.990 * [backup-simplify]: Simplify 2.0 into 2.0
7.990 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.992 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.993 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.996 * [taylor]: Taking taylor expansion of (cos th) in th
7.996 * [taylor]: Taking taylor expansion of th in th
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.998 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
8.000 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.000 * [backup-simplify]: Simplify (+ 0) into 0
8.001 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
8.001 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.006 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
8.008 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
8.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.013 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.015 * [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
8.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.022 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
8.023 * [backup-simplify]: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
8.028 * [backup-simplify]: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) (pow th 2)) (sqrt (/ 1 (sqrt 2.0))))) into (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
8.028 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
8.029 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
8.029 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
8.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.029 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.029 * [taylor]: Taking taylor expansion of 2.0 in th
8.029 * [backup-simplify]: Simplify 2.0 into 2.0
8.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.030 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.031 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.032 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.032 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.032 * [taylor]: Taking taylor expansion of th in th
8.032 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify 1 into 1
8.033 * [backup-simplify]: Simplify (/ 1 1) into 1
8.033 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.033 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
8.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.033 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.033 * [taylor]: Taking taylor expansion of 2.0 in th
8.033 * [backup-simplify]: Simplify 2.0 into 2.0
8.033 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.034 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.035 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.038 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.038 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.038 * [taylor]: Taking taylor expansion of th in th
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.038 * [backup-simplify]: Simplify (/ 1 1) into 1
8.038 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.040 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
8.042 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
8.043 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.061 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.067 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))) into 0
8.067 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.075 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
8.075 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.083 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))))) into 0
8.083 * [backup-simplify]: Simplify 0 into 0
8.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.091 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))))) into 0
8.091 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
8.094 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
8.094 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
8.094 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
8.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.094 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.094 * [taylor]: Taking taylor expansion of 2.0 in th
8.094 * [backup-simplify]: Simplify 2.0 into 2.0
8.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.096 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.097 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.100 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.100 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.100 * [taylor]: Taking taylor expansion of -1 in th
8.100 * [backup-simplify]: Simplify -1 into -1
8.100 * [taylor]: Taking taylor expansion of th in th
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify 1 into 1
8.100 * [backup-simplify]: Simplify (/ -1 1) into -1
8.101 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.101 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
8.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.101 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.101 * [taylor]: Taking taylor expansion of 2.0 in th
8.101 * [backup-simplify]: Simplify 2.0 into 2.0
8.101 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.103 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.104 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.107 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.107 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.107 * [taylor]: Taking taylor expansion of -1 in th
8.107 * [backup-simplify]: Simplify -1 into -1
8.107 * [taylor]: Taking taylor expansion of th in th
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 1 into 1
8.107 * [backup-simplify]: Simplify (/ -1 1) into -1
8.107 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.109 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
8.111 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
8.112 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.117 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
8.117 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.123 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
8.124 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.131 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
8.131 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.138 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))))) into 0
8.138 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.147 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))))) into 0
8.147 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
8.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
8.150 * [backup-simplify]: Simplify (/ (cos th) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
8.150 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
8.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
8.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.150 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.150 * [taylor]: Taking taylor expansion of 2.0 in th
8.150 * [backup-simplify]: Simplify 2.0 into 2.0
8.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.152 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.153 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.154 * [taylor]: Taking taylor expansion of (cos th) in th
8.154 * [taylor]: Taking taylor expansion of th in th
8.154 * [backup-simplify]: Simplify 0 into 0
8.154 * [backup-simplify]: Simplify 1 into 1
8.154 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
8.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.154 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.154 * [taylor]: Taking taylor expansion of 2.0 in th
8.154 * [backup-simplify]: Simplify 2.0 into 2.0
8.155 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.156 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.156 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.158 * [taylor]: Taking taylor expansion of (cos th) in th
8.158 * [taylor]: Taking taylor expansion of th in th
8.158 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify 1 into 1
8.159 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
8.160 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.161 * [backup-simplify]: Simplify (+ 0) into 0
8.161 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
8.161 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.167 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
8.169 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
8.170 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.174 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.176 * [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
8.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.182 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
8.184 * [backup-simplify]: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
8.198 * [backup-simplify]: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) (pow th 2)) (sqrt (/ 1 (sqrt 2.0))))) into (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
8.199 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
8.199 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
8.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
8.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.200 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.200 * [taylor]: Taking taylor expansion of 2.0 in th
8.200 * [backup-simplify]: Simplify 2.0 into 2.0
8.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.202 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.203 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.206 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.206 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.206 * [taylor]: Taking taylor expansion of th in th
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.206 * [backup-simplify]: Simplify (/ 1 1) into 1
8.206 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.206 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
8.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.206 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.206 * [taylor]: Taking taylor expansion of 2.0 in th
8.206 * [backup-simplify]: Simplify 2.0 into 2.0
8.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.209 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.210 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.213 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.213 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.213 * [taylor]: Taking taylor expansion of th in th
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify 1 into 1
8.213 * [backup-simplify]: Simplify (/ 1 1) into 1
8.213 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.215 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
8.217 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
8.218 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
8.218 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.224 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
8.224 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.230 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))) into 0
8.230 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.238 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
8.238 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.245 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))))) into 0
8.245 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.254 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))))) into 0
8.254 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
8.257 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
8.257 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
8.257 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
8.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.257 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.257 * [taylor]: Taking taylor expansion of 2.0 in th
8.257 * [backup-simplify]: Simplify 2.0 into 2.0
8.257 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.259 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.261 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.263 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.263 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.263 * [taylor]: Taking taylor expansion of -1 in th
8.263 * [backup-simplify]: Simplify -1 into -1
8.263 * [taylor]: Taking taylor expansion of th in th
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 1 into 1
8.264 * [backup-simplify]: Simplify (/ -1 1) into -1
8.264 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.264 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
8.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
8.264 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
8.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.264 * [taylor]: Taking taylor expansion of 2.0 in th
8.264 * [backup-simplify]: Simplify 2.0 into 2.0
8.264 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.266 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.268 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
8.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.270 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.270 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.270 * [taylor]: Taking taylor expansion of -1 in th
8.270 * [backup-simplify]: Simplify -1 into -1
8.270 * [taylor]: Taking taylor expansion of th in th
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 1 into 1
8.271 * [backup-simplify]: Simplify (/ -1 1) into -1
8.271 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.273 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
8.275 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
8.276 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
8.276 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.282 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
8.282 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.289 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.296 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
8.296 * [backup-simplify]: Simplify 0 into 0
8.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.304 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))))) into 0
8.304 * [backup-simplify]: Simplify 0 into 0
8.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
8.312 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))))) into 0
8.312 * [backup-simplify]: Simplify 0 into 0
8.314 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
8.314 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
8.316 * [backup-simplify]: Simplify (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos th) (sqrt 2.0))
8.316 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
8.316 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
8.316 * [taylor]: Taking taylor expansion of (cos th) in th
8.316 * [taylor]: Taking taylor expansion of th in th
8.316 * [backup-simplify]: Simplify 0 into 0
8.316 * [backup-simplify]: Simplify 1 into 1
8.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.316 * [taylor]: Taking taylor expansion of 2.0 in th
8.316 * [backup-simplify]: Simplify 2.0 into 2.0
8.317 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.318 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.319 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
8.319 * [taylor]: Taking taylor expansion of (cos th) in th
8.319 * [taylor]: Taking taylor expansion of th in th
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 1 into 1
8.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.319 * [taylor]: Taking taylor expansion of 2.0 in th
8.319 * [backup-simplify]: Simplify 2.0 into 2.0
8.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.321 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.322 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.322 * [backup-simplify]: Simplify (+ 0) into 0
8.324 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.324 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.330 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
8.332 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
8.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.337 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
8.338 * [backup-simplify]: Simplify 0 into 0
8.341 * [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
8.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.348 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
8.350 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
8.366 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
8.368 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.368 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
8.368 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
8.368 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.369 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.369 * [taylor]: Taking taylor expansion of th in th
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (/ 1 1) into 1
8.369 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.369 * [taylor]: Taking taylor expansion of 2.0 in th
8.369 * [backup-simplify]: Simplify 2.0 into 2.0
8.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.371 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.371 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
8.371 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.371 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.371 * [taylor]: Taking taylor expansion of th in th
8.371 * [backup-simplify]: Simplify 0 into 0
8.371 * [backup-simplify]: Simplify 1 into 1
8.371 * [backup-simplify]: Simplify (/ 1 1) into 1
8.371 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.372 * [taylor]: Taking taylor expansion of 2.0 in th
8.372 * [backup-simplify]: Simplify 2.0 into 2.0
8.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.373 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.374 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.375 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.375 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.379 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.379 * [backup-simplify]: Simplify 0 into 0
8.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.383 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.383 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.388 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.388 * [backup-simplify]: Simplify 0 into 0
8.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.394 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.394 * [backup-simplify]: Simplify 0 into 0
8.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.400 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.400 * [backup-simplify]: Simplify 0 into 0
8.401 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
8.403 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.403 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
8.403 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
8.403 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.403 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.403 * [taylor]: Taking taylor expansion of -1 in th
8.403 * [backup-simplify]: Simplify -1 into -1
8.403 * [taylor]: Taking taylor expansion of th in th
8.403 * [backup-simplify]: Simplify 0 into 0
8.403 * [backup-simplify]: Simplify 1 into 1
8.403 * [backup-simplify]: Simplify (/ -1 1) into -1
8.403 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.403 * [taylor]: Taking taylor expansion of 2.0 in th
8.403 * [backup-simplify]: Simplify 2.0 into 2.0
8.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.404 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.405 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
8.405 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.405 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.405 * [taylor]: Taking taylor expansion of -1 in th
8.405 * [backup-simplify]: Simplify -1 into -1
8.405 * [taylor]: Taking taylor expansion of th in th
8.405 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify 1 into 1
8.405 * [backup-simplify]: Simplify (/ -1 1) into -1
8.405 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.405 * [taylor]: Taking taylor expansion of 2.0 in th
8.405 * [backup-simplify]: Simplify 2.0 into 2.0
8.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.406 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.406 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.407 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.407 * [backup-simplify]: Simplify 0 into 0
8.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.409 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.409 * [backup-simplify]: Simplify 0 into 0
8.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.412 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.412 * [backup-simplify]: Simplify 0 into 0
8.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.415 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.415 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.419 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.419 * [backup-simplify]: Simplify 0 into 0
8.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.422 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.422 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
8.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
8.424 * [backup-simplify]: Simplify (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos th) (sqrt 2.0))
8.424 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
8.424 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
8.424 * [taylor]: Taking taylor expansion of (cos th) in th
8.424 * [taylor]: Taking taylor expansion of th in th
8.424 * [backup-simplify]: Simplify 0 into 0
8.424 * [backup-simplify]: Simplify 1 into 1
8.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.424 * [taylor]: Taking taylor expansion of 2.0 in th
8.424 * [backup-simplify]: Simplify 2.0 into 2.0
8.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.425 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.425 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
8.425 * [taylor]: Taking taylor expansion of (cos th) in th
8.425 * [taylor]: Taking taylor expansion of th in th
8.425 * [backup-simplify]: Simplify 0 into 0
8.425 * [backup-simplify]: Simplify 1 into 1
8.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.425 * [taylor]: Taking taylor expansion of 2.0 in th
8.425 * [backup-simplify]: Simplify 2.0 into 2.0
8.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.427 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.427 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.428 * [backup-simplify]: Simplify (+ 0) into 0
8.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.428 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.432 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
8.435 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
8.436 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.440 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
8.440 * [backup-simplify]: Simplify 0 into 0
8.443 * [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
8.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.450 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
8.452 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
8.457 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
8.459 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.459 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
8.459 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
8.459 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.459 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.459 * [taylor]: Taking taylor expansion of th in th
8.459 * [backup-simplify]: Simplify 0 into 0
8.459 * [backup-simplify]: Simplify 1 into 1
8.460 * [backup-simplify]: Simplify (/ 1 1) into 1
8.460 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.460 * [taylor]: Taking taylor expansion of 2.0 in th
8.460 * [backup-simplify]: Simplify 2.0 into 2.0
8.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.461 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.461 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
8.462 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
8.462 * [taylor]: Taking taylor expansion of (/ 1 th) in th
8.462 * [taylor]: Taking taylor expansion of th in th
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 1 into 1
8.462 * [backup-simplify]: Simplify (/ 1 1) into 1
8.462 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
8.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.462 * [taylor]: Taking taylor expansion of 2.0 in th
8.462 * [backup-simplify]: Simplify 2.0 into 2.0
8.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.464 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.465 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
8.466 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.466 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.470 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.470 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.474 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.474 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.479 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.479 * [backup-simplify]: Simplify 0 into 0
8.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.485 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.485 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.491 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.491 * [backup-simplify]: Simplify 0 into 0
8.491 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
8.502 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.502 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
8.502 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
8.502 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.502 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.502 * [taylor]: Taking taylor expansion of -1 in th
8.502 * [backup-simplify]: Simplify -1 into -1
8.502 * [taylor]: Taking taylor expansion of th in th
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [backup-simplify]: Simplify 1 into 1
8.503 * [backup-simplify]: Simplify (/ -1 1) into -1
8.503 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.503 * [taylor]: Taking taylor expansion of 2.0 in th
8.503 * [backup-simplify]: Simplify 2.0 into 2.0
8.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.504 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.504 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
8.504 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
8.504 * [taylor]: Taking taylor expansion of (/ -1 th) in th
8.504 * [taylor]: Taking taylor expansion of -1 in th
8.504 * [backup-simplify]: Simplify -1 into -1
8.504 * [taylor]: Taking taylor expansion of th in th
8.504 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify 1 into 1
8.504 * [backup-simplify]: Simplify (/ -1 1) into -1
8.504 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
8.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.505 * [taylor]: Taking taylor expansion of 2.0 in th
8.505 * [backup-simplify]: Simplify 2.0 into 2.0
8.505 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.506 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.506 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
8.507 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.509 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.509 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.511 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.511 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.515 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.515 * [backup-simplify]: Simplify 0 into 0
8.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.518 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.518 * [backup-simplify]: Simplify 0 into 0
8.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.522 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
8.522 * [backup-simplify]: Simplify 0 into 0
8.522 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
8.522 * * * [progress]: simplifying candidates
8.542 * [simplify]: Simplifying:
  (- (log (cos th)) (log (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 1)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (- (log (cos th)) (log (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 1)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1)
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) 1)
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 1))) 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt 1)) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt 1)) 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
9.814 * * * [progress]: adding candidates to table
12.719 * * [progress]: iteration 4 / 4
12.719 * * * [progress]: picking best candidate
12.772 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))>
12.772 * * * [progress]: localizing error
12.823 * * * [progress]: generating rewritten candidates
12.823 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
12.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
12.872 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
13.390 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
13.559 * * * [progress]: generating series expansions
13.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
13.560 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
13.561 * [backup-simplify]: Simplify (/ (cos th) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
13.561 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
13.561 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
13.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
13.561 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
13.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.561 * [taylor]: Taking taylor expansion of 2.0 in th
13.561 * [backup-simplify]: Simplify 2.0 into 2.0
13.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.573 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.575 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.577 * [taylor]: Taking taylor expansion of (cos th) in th
13.577 * [taylor]: Taking taylor expansion of th in th
13.577 * [backup-simplify]: Simplify 0 into 0
13.577 * [backup-simplify]: Simplify 1 into 1
13.577 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
13.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
13.577 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
13.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.578 * [taylor]: Taking taylor expansion of 2.0 in th
13.578 * [backup-simplify]: Simplify 2.0 into 2.0
13.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.580 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.582 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.584 * [taylor]: Taking taylor expansion of (cos th) in th
13.584 * [taylor]: Taking taylor expansion of th in th
13.584 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify 1 into 1
13.587 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
13.588 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.589 * [backup-simplify]: Simplify (+ 0) into 0
13.590 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
13.590 * [backup-simplify]: Simplify 0 into 0
13.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
13.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.598 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
13.600 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
13.601 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.605 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
13.605 * [backup-simplify]: Simplify 0 into 0
13.606 * [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
13.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.613 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
13.614 * [backup-simplify]: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
13.619 * [backup-simplify]: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) (pow th 2)) (sqrt (/ 1 (sqrt 2.0))))) into (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
13.620 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
13.620 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0
13.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
13.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
13.620 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
13.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.620 * [taylor]: Taking taylor expansion of 2.0 in th
13.620 * [backup-simplify]: Simplify 2.0 into 2.0
13.620 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.621 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.622 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.624 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
13.624 * [taylor]: Taking taylor expansion of (/ 1 th) in th
13.624 * [taylor]: Taking taylor expansion of th in th
13.624 * [backup-simplify]: Simplify 0 into 0
13.624 * [backup-simplify]: Simplify 1 into 1
13.624 * [backup-simplify]: Simplify (/ 1 1) into 1
13.624 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
13.624 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
13.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
13.624 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
13.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.624 * [taylor]: Taking taylor expansion of 2.0 in th
13.624 * [backup-simplify]: Simplify 2.0 into 2.0
13.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.625 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.626 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.628 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
13.628 * [taylor]: Taking taylor expansion of (/ 1 th) in th
13.628 * [taylor]: Taking taylor expansion of th in th
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify 1 into 1
13.628 * [backup-simplify]: Simplify (/ 1 1) into 1
13.628 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
13.629 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
13.630 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
13.631 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
13.631 * [backup-simplify]: Simplify 0 into 0
13.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.636 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
13.636 * [backup-simplify]: Simplify 0 into 0
13.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.643 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))) into 0
13.643 * [backup-simplify]: Simplify 0 into 0
13.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.647 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
13.647 * [backup-simplify]: Simplify 0 into 0
13.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.651 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th)))))))) into 0
13.651 * [backup-simplify]: Simplify 0 into 0
13.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.655 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))))))) into 0
13.655 * [backup-simplify]: Simplify 0 into 0
13.656 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
13.657 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
13.657 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
13.657 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
13.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
13.657 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
13.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.657 * [taylor]: Taking taylor expansion of 2.0 in th
13.657 * [backup-simplify]: Simplify 2.0 into 2.0
13.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.659 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.660 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.661 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
13.661 * [taylor]: Taking taylor expansion of (/ -1 th) in th
13.661 * [taylor]: Taking taylor expansion of -1 in th
13.661 * [backup-simplify]: Simplify -1 into -1
13.661 * [taylor]: Taking taylor expansion of th in th
13.661 * [backup-simplify]: Simplify 0 into 0
13.661 * [backup-simplify]: Simplify 1 into 1
13.662 * [backup-simplify]: Simplify (/ -1 1) into -1
13.662 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
13.662 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
13.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
13.662 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
13.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.662 * [taylor]: Taking taylor expansion of 2.0 in th
13.662 * [backup-simplify]: Simplify 2.0 into 2.0
13.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.663 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.664 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
13.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.665 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
13.665 * [taylor]: Taking taylor expansion of (/ -1 th) in th
13.665 * [taylor]: Taking taylor expansion of -1 in th
13.665 * [backup-simplify]: Simplify -1 into -1
13.665 * [taylor]: Taking taylor expansion of th in th
13.665 * [backup-simplify]: Simplify 0 into 0
13.665 * [backup-simplify]: Simplify 1 into 1
13.666 * [backup-simplify]: Simplify (/ -1 1) into -1
13.666 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
13.667 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
13.668 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
13.668 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
13.669 * [backup-simplify]: Simplify 0 into 0
13.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.672 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
13.672 * [backup-simplify]: Simplify 0 into 0
13.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.675 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
13.675 * [backup-simplify]: Simplify 0 into 0
13.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.692 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
13.692 * [backup-simplify]: Simplify 0 into 0
13.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.699 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))))) into 0
13.699 * [backup-simplify]: Simplify 0 into 0
13.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
13.706 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))))) into 0
13.706 * [backup-simplify]: Simplify 0 into 0
13.707 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
13.707 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
13.710 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
13.710 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
13.710 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
13.710 * [taylor]: Taking taylor expansion of (cos th) in th
13.710 * [taylor]: Taking taylor expansion of th in th
13.710 * [backup-simplify]: Simplify 0 into 0
13.710 * [backup-simplify]: Simplify 1 into 1
13.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.710 * [taylor]: Taking taylor expansion of 2.0 in th
13.710 * [backup-simplify]: Simplify 2.0 into 2.0
13.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.712 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.712 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
13.712 * [taylor]: Taking taylor expansion of (cos th) in th
13.712 * [taylor]: Taking taylor expansion of th in th
13.712 * [backup-simplify]: Simplify 0 into 0
13.712 * [backup-simplify]: Simplify 1 into 1
13.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.712 * [taylor]: Taking taylor expansion of 2.0 in th
13.712 * [backup-simplify]: Simplify 2.0 into 2.0
13.712 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.713 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.714 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.714 * [backup-simplify]: Simplify (+ 0) into 0
13.715 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.715 * [backup-simplify]: Simplify 0 into 0
13.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
13.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.718 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
13.719 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
13.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.722 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
13.722 * [backup-simplify]: Simplify 0 into 0
13.724 * [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
13.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.728 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
13.729 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
13.732 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
13.735 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.735 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
13.735 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
13.735 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
13.735 * [taylor]: Taking taylor expansion of (/ 1 th) in th
13.735 * [taylor]: Taking taylor expansion of th in th
13.735 * [backup-simplify]: Simplify 0 into 0
13.735 * [backup-simplify]: Simplify 1 into 1
13.735 * [backup-simplify]: Simplify (/ 1 1) into 1
13.735 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
13.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.735 * [taylor]: Taking taylor expansion of 2.0 in th
13.735 * [backup-simplify]: Simplify 2.0 into 2.0
13.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.736 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.736 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
13.736 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
13.736 * [taylor]: Taking taylor expansion of (/ 1 th) in th
13.736 * [taylor]: Taking taylor expansion of th in th
13.736 * [backup-simplify]: Simplify 0 into 0
13.736 * [backup-simplify]: Simplify 1 into 1
13.737 * [backup-simplify]: Simplify (/ 1 1) into 1
13.737 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
13.737 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.737 * [taylor]: Taking taylor expansion of 2.0 in th
13.737 * [backup-simplify]: Simplify 2.0 into 2.0
13.737 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.738 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.738 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.739 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.739 * [backup-simplify]: Simplify 0 into 0
13.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.741 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.741 * [backup-simplify]: Simplify 0 into 0
13.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.744 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.744 * [backup-simplify]: Simplify 0 into 0
13.745 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.749 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.749 * [backup-simplify]: Simplify 0 into 0
13.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.755 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.755 * [backup-simplify]: Simplify 0 into 0
13.757 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.762 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.762 * [backup-simplify]: Simplify 0 into 0
13.762 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
13.768 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.768 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
13.768 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
13.768 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
13.768 * [taylor]: Taking taylor expansion of (/ -1 th) in th
13.768 * [taylor]: Taking taylor expansion of -1 in th
13.768 * [backup-simplify]: Simplify -1 into -1
13.768 * [taylor]: Taking taylor expansion of th in th
13.768 * [backup-simplify]: Simplify 0 into 0
13.768 * [backup-simplify]: Simplify 1 into 1
13.768 * [backup-simplify]: Simplify (/ -1 1) into -1
13.768 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
13.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.768 * [taylor]: Taking taylor expansion of 2.0 in th
13.769 * [backup-simplify]: Simplify 2.0 into 2.0
13.769 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.770 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.770 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
13.770 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
13.770 * [taylor]: Taking taylor expansion of (/ -1 th) in th
13.770 * [taylor]: Taking taylor expansion of -1 in th
13.770 * [backup-simplify]: Simplify -1 into -1
13.770 * [taylor]: Taking taylor expansion of th in th
13.770 * [backup-simplify]: Simplify 0 into 0
13.770 * [backup-simplify]: Simplify 1 into 1
13.771 * [backup-simplify]: Simplify (/ -1 1) into -1
13.771 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
13.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.771 * [taylor]: Taking taylor expansion of 2.0 in th
13.771 * [backup-simplify]: Simplify 2.0 into 2.0
13.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.773 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.773 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.775 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.775 * [backup-simplify]: Simplify 0 into 0
13.776 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.778 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.778 * [backup-simplify]: Simplify 0 into 0
13.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.782 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.782 * [backup-simplify]: Simplify 0 into 0
13.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.787 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.787 * [backup-simplify]: Simplify 0 into 0
13.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.793 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.793 * [backup-simplify]: Simplify 0 into 0
13.795 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.799 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.800 * [backup-simplify]: Simplify 0 into 0
13.800 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
13.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
13.802 * [backup-simplify]: Simplify (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos th) (sqrt 2.0))
13.802 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
13.802 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
13.802 * [taylor]: Taking taylor expansion of (cos th) in th
13.802 * [taylor]: Taking taylor expansion of th in th
13.802 * [backup-simplify]: Simplify 0 into 0
13.802 * [backup-simplify]: Simplify 1 into 1
13.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.802 * [taylor]: Taking taylor expansion of 2.0 in th
13.802 * [backup-simplify]: Simplify 2.0 into 2.0
13.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.804 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.804 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
13.804 * [taylor]: Taking taylor expansion of (cos th) in th
13.804 * [taylor]: Taking taylor expansion of th in th
13.804 * [backup-simplify]: Simplify 0 into 0
13.804 * [backup-simplify]: Simplify 1 into 1
13.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.804 * [taylor]: Taking taylor expansion of 2.0 in th
13.804 * [backup-simplify]: Simplify 2.0 into 2.0
13.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.806 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.817 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
13.818 * [backup-simplify]: Simplify (+ 0) into 0
13.819 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.819 * [backup-simplify]: Simplify 0 into 0
13.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
13.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.825 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
13.828 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
13.829 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.832 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
13.832 * [backup-simplify]: Simplify 0 into 0
13.836 * [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
13.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.843 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
13.845 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
13.850 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
13.852 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.852 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
13.852 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
13.852 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
13.852 * [taylor]: Taking taylor expansion of (/ 1 th) in th
13.852 * [taylor]: Taking taylor expansion of th in th
13.852 * [backup-simplify]: Simplify 0 into 0
13.852 * [backup-simplify]: Simplify 1 into 1
13.852 * [backup-simplify]: Simplify (/ 1 1) into 1
13.852 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
13.852 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.852 * [taylor]: Taking taylor expansion of 2.0 in th
13.853 * [backup-simplify]: Simplify 2.0 into 2.0
13.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.854 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.854 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
13.854 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
13.854 * [taylor]: Taking taylor expansion of (/ 1 th) in th
13.854 * [taylor]: Taking taylor expansion of th in th
13.854 * [backup-simplify]: Simplify 0 into 0
13.854 * [backup-simplify]: Simplify 1 into 1
13.855 * [backup-simplify]: Simplify (/ 1 1) into 1
13.855 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
13.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.855 * [taylor]: Taking taylor expansion of 2.0 in th
13.855 * [backup-simplify]: Simplify 2.0 into 2.0
13.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.857 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.857 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
13.859 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.859 * [backup-simplify]: Simplify 0 into 0
13.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.862 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.862 * [backup-simplify]: Simplify 0 into 0
13.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.864 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.864 * [backup-simplify]: Simplify 0 into 0
13.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.867 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.867 * [backup-simplify]: Simplify 0 into 0
13.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.870 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.870 * [backup-simplify]: Simplify 0 into 0
13.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.874 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.874 * [backup-simplify]: Simplify 0 into 0
13.875 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
13.876 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.876 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
13.876 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
13.876 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
13.876 * [taylor]: Taking taylor expansion of (/ -1 th) in th
13.876 * [taylor]: Taking taylor expansion of -1 in th
13.876 * [backup-simplify]: Simplify -1 into -1
13.876 * [taylor]: Taking taylor expansion of th in th
13.876 * [backup-simplify]: Simplify 0 into 0
13.876 * [backup-simplify]: Simplify 1 into 1
13.876 * [backup-simplify]: Simplify (/ -1 1) into -1
13.876 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
13.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.876 * [taylor]: Taking taylor expansion of 2.0 in th
13.876 * [backup-simplify]: Simplify 2.0 into 2.0
13.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.877 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.877 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
13.877 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
13.877 * [taylor]: Taking taylor expansion of (/ -1 th) in th
13.877 * [taylor]: Taking taylor expansion of -1 in th
13.877 * [backup-simplify]: Simplify -1 into -1
13.877 * [taylor]: Taking taylor expansion of th in th
13.877 * [backup-simplify]: Simplify 0 into 0
13.877 * [backup-simplify]: Simplify 1 into 1
13.878 * [backup-simplify]: Simplify (/ -1 1) into -1
13.878 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
13.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
13.878 * [taylor]: Taking taylor expansion of 2.0 in th
13.878 * [backup-simplify]: Simplify 2.0 into 2.0
13.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.879 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.879 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
13.880 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
13.880 * [backup-simplify]: Simplify 0 into 0
13.881 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.882 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.882 * [backup-simplify]: Simplify 0 into 0
13.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.885 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.885 * [backup-simplify]: Simplify 0 into 0
13.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.888 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.888 * [backup-simplify]: Simplify 0 into 0
13.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.891 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.891 * [backup-simplify]: Simplify 0 into 0
13.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
13.897 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
13.897 * [backup-simplify]: Simplify 0 into 0
13.897 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
13.898 * * * [progress]: simplifying candidates
13.952 * [simplify]: Simplifying:
  (- 1/2)
  (- 1)
  (- (/ 1/2 2))
  (- (/ 1 2))
  (- (/ (/ 1 2) 2))
  (- (log (sqrt (sqrt 2.0))))
  (- 0 (log (sqrt (sqrt 2.0))))
  (- (log 1) (log (sqrt (sqrt 2.0))))
  (log (/ 1 (sqrt (sqrt 2.0))))
  (exp (/ 1 (sqrt (sqrt 2.0))))
  (/ (* (* 1 1) 1) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0)))))
  (cbrt (/ 1 (sqrt (sqrt 2.0))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))))
  (sqrt (/ 1 (sqrt (sqrt 2.0))))
  (sqrt (/ 1 (sqrt (sqrt 2.0))))
  (- 1)
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt 1) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt 1) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt 1) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1)))
  (/ (cbrt 1) (sqrt (sqrt 2.0)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt (sqrt 2.0)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt 1) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (sqrt 1)))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ 1 (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ 1 (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ 1 (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (sqrt (sqrt 2.0)) (cbrt 1))
  (/ (sqrt (sqrt 2.0)) (sqrt 1))
  (/ (sqrt (sqrt 2.0)) 1)
  (- (log (cos th)) (log (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 1)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (cbrt (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ 1 (sqrt (sqrt 2.0)))) (cbrt (/ 1 (sqrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ 1 (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt 1))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt 1)) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt 1) 1) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 1) 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 1)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 1))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1)
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))))
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  (* (sqrt (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (cbrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (cbrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt (cbrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (cbrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (cbrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (cbrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (cbrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (cbrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (cbrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (cbrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt (cbrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))))
  (* (cos th) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
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  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1)
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (/ 1 (sqrt 1)) 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ 1 1) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 1) 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 1)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt 1))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0))))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
15.549 * * * [progress]: adding candidates to table
20.711 * [progress]: [Phase 3 of 3] Extracting.
20.711 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
20.715 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1)
20.715 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
20.791 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
20.858 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
20.922 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
21.008 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))>)
21.051 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
21.142 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
21.212 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (log (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0)))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2.0)) a2) a2)))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ 1 (sqrt 1)) (/ (sqrt 2.0) (cos th))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
21.296 * * * [regime]: Found split indices: #<option (#s(si 8 255))>
21.296 * [simplify]: Simplifying:
  (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))) (* a2 a2)))
28.847 * [regime-testing]: Baseline error score: 0.4811233013735206
28.852 * [regime-testing]: Oracle error score: 0.036879609951243904
28.860 * [regime-testing]: End program error score: 0.5335591792967528