49.949 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.172 * * * [progress]: [2/2] Setting up program.
0.181 * [progress]: [Phase 2 of 3] Improving.
0.182 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.182 * * [simplify]: iteration 0: 12 enodes
0.186 * * [simplify]: iteration 1: 25 enodes
0.193 * * [simplify]: iteration 2: 49 enodes
0.205 * * [simplify]: iteration 3: 76 enodes
0.221 * * [simplify]: iteration 4: 95 enodes
0.262 * * [simplify]: iteration 5: 111 enodes
0.294 * * [simplify]: iteration 6: 126 enodes
0.327 * * [simplify]: iteration 7: 142 enodes
0.359 * * [simplify]: iteration complete: 142 enodes
0.359 * * [simplify]: Extracting #0: cost 1 inf + 0
0.359 * * [simplify]: Extracting #1: cost 12 inf + 0
0.359 * * [simplify]: Extracting #2: cost 34 inf + 0
0.359 * * [simplify]: Extracting #3: cost 25 inf + 432
0.360 * * [simplify]: Extracting #4: cost 4 inf + 3460
0.363 * * [simplify]: Extracting #5: cost 0 inf + 4252
0.365 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
0.376 * * [progress]: iteration 1 / 4
0.376 * * * [progress]: picking best candidate
0.393 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))>
0.393 * * * [progress]: localizing error
0.415 * * * [progress]: generating rewritten candidates
0.415 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.454 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.464 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.490 * * * [progress]: generating series expansions
0.490 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.491 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
0.491 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
0.491 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
0.491 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
0.491 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
0.491 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.491 * [taylor]: Taking taylor expansion of a2 in th
0.491 * [backup-simplify]: Simplify a2 into a2
0.491 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.491 * [taylor]: Taking taylor expansion of a1 in th
0.491 * [backup-simplify]: Simplify a1 into a1
0.492 * [taylor]: Taking taylor expansion of (cos th) in th
0.492 * [taylor]: Taking taylor expansion of th in th
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.492 * [taylor]: Taking taylor expansion of 2.0 in th
0.492 * [backup-simplify]: Simplify 2.0 into 2.0
0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.493 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.493 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.493 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
0.494 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
0.494 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
0.494 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
0.494 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
0.494 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.495 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.495 * [taylor]: Taking taylor expansion of a2 in a2
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.495 * [taylor]: Taking taylor expansion of a1 in a2
0.495 * [backup-simplify]: Simplify a1 into a1
0.495 * [taylor]: Taking taylor expansion of (cos th) in a2
0.495 * [taylor]: Taking taylor expansion of th in a2
0.495 * [backup-simplify]: Simplify th into th
0.495 * [backup-simplify]: Simplify (cos th) into (cos th)
0.495 * [backup-simplify]: Simplify (sin th) into (sin th)
0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.495 * [taylor]: Taking taylor expansion of 2.0 in a2
0.495 * [backup-simplify]: Simplify 2.0 into 2.0
0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.496 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.496 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
0.497 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.497 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.497 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.497 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
0.498 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.498 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.498 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.498 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.498 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.498 * [taylor]: Taking taylor expansion of a2 in a1
0.498 * [backup-simplify]: Simplify a2 into a2
0.498 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.498 * [taylor]: Taking taylor expansion of a1 in a1
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [taylor]: Taking taylor expansion of (cos th) in a1
0.498 * [taylor]: Taking taylor expansion of th in a1
0.498 * [backup-simplify]: Simplify th into th
0.498 * [backup-simplify]: Simplify (cos th) into (cos th)
0.498 * [backup-simplify]: Simplify (sin th) into (sin th)
0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.498 * [taylor]: Taking taylor expansion of 2.0 in a1
0.498 * [backup-simplify]: Simplify 2.0 into 2.0
0.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.500 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.500 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.500 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.500 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.501 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.501 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.501 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.501 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.501 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.501 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.501 * [taylor]: Taking taylor expansion of a2 in a1
0.501 * [backup-simplify]: Simplify a2 into a2
0.501 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.501 * [taylor]: Taking taylor expansion of a1 in a1
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [taylor]: Taking taylor expansion of (cos th) in a1
0.502 * [taylor]: Taking taylor expansion of th in a1
0.502 * [backup-simplify]: Simplify th into th
0.502 * [backup-simplify]: Simplify (cos th) into (cos th)
0.502 * [backup-simplify]: Simplify (sin th) into (sin th)
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.502 * [taylor]: Taking taylor expansion of 2.0 in a1
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.504 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.504 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.504 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.511 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.512 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.512 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.512 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.512 * [taylor]: Taking taylor expansion of (cos th) in a2
0.512 * [taylor]: Taking taylor expansion of th in a2
0.512 * [backup-simplify]: Simplify th into th
0.512 * [backup-simplify]: Simplify (cos th) into (cos th)
0.512 * [backup-simplify]: Simplify (sin th) into (sin th)
0.512 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.512 * [taylor]: Taking taylor expansion of a2 in a2
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.512 * [taylor]: Taking taylor expansion of 2.0 in a2
0.512 * [backup-simplify]: Simplify 2.0 into 2.0
0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.514 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.514 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.515 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.516 * [backup-simplify]: Simplify (+ 0) into 0
0.517 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.519 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.519 * [backup-simplify]: Simplify (- 0) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
0.522 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.522 * [taylor]: Taking taylor expansion of 0 in a2
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [taylor]: Taking taylor expansion of 0 in th
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.524 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.525 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.527 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.528 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
0.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.530 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
0.530 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
0.530 * [taylor]: Taking taylor expansion of (cos th) in a2
0.530 * [taylor]: Taking taylor expansion of th in a2
0.530 * [backup-simplify]: Simplify th into th
0.530 * [backup-simplify]: Simplify (cos th) into (cos th)
0.530 * [backup-simplify]: Simplify (sin th) into (sin th)
0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.530 * [taylor]: Taking taylor expansion of 2.0 in a2
0.530 * [backup-simplify]: Simplify 2.0 into 2.0
0.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.531 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.531 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.531 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.531 * [taylor]: Taking taylor expansion of (cos th) in th
0.531 * [taylor]: Taking taylor expansion of th in th
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.531 * [taylor]: Taking taylor expansion of 2.0 in th
0.531 * [backup-simplify]: Simplify 2.0 into 2.0
0.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.533 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.533 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.533 * [taylor]: Taking taylor expansion of 0 in th
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.533 * [taylor]: Taking taylor expansion of (cos th) in th
0.533 * [taylor]: Taking taylor expansion of th in th
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.533 * [taylor]: Taking taylor expansion of 2.0 in th
0.533 * [backup-simplify]: Simplify 2.0 into 2.0
0.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.534 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.535 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.535 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.536 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.537 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.538 * [backup-simplify]: Simplify (- 0) into 0
0.538 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.542 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.542 * [taylor]: Taking taylor expansion of 0 in a2
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [taylor]: Taking taylor expansion of 0 in th
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ 0) into 0
0.543 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.544 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.544 * [backup-simplify]: Simplify (- 0) into 0
0.544 * [backup-simplify]: Simplify (+ 0 0) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.545 * [taylor]: Taking taylor expansion of 0 in th
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [taylor]: Taking taylor expansion of 0 in th
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.546 * [backup-simplify]: Simplify (+ 0) into 0
0.546 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.547 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.547 * [backup-simplify]: Simplify (- 0) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.548 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.549 * [taylor]: Taking taylor expansion of 0 in th
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ 0) into 0
0.550 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
0.551 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (/ (sqrt 2.0) (cos (/ 1 th)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.551 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
0.551 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.551 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.551 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.551 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.552 * [taylor]: Taking taylor expansion of th in th
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (/ 1 1) into 1
0.552 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.552 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.552 * [taylor]: Taking taylor expansion of a2 in th
0.552 * [backup-simplify]: Simplify a2 into a2
0.552 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.552 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.552 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.552 * [taylor]: Taking taylor expansion of a1 in th
0.552 * [backup-simplify]: Simplify a1 into a1
0.552 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.552 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.552 * [taylor]: Taking taylor expansion of 2.0 in th
0.552 * [backup-simplify]: Simplify 2.0 into 2.0
0.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.553 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.554 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
0.554 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.554 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.554 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.554 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.554 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.554 * [taylor]: Taking taylor expansion of th in a2
0.554 * [backup-simplify]: Simplify th into th
0.554 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.554 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.554 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.554 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.554 * [taylor]: Taking taylor expansion of a2 in a2
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1 1) into 1
0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.555 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.555 * [taylor]: Taking taylor expansion of a1 in a2
0.555 * [backup-simplify]: Simplify a1 into a1
0.555 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.555 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.555 * [taylor]: Taking taylor expansion of 2.0 in a2
0.555 * [backup-simplify]: Simplify 2.0 into 2.0
0.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.556 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.556 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.557 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.557 * [backup-simplify]: Simplify (+ 1 0) into 1
0.557 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.558 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.558 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.558 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.558 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.558 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.558 * [taylor]: Taking taylor expansion of th in a1
0.558 * [backup-simplify]: Simplify th into th
0.558 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.558 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.558 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.558 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.559 * [taylor]: Taking taylor expansion of a2 in a1
0.559 * [backup-simplify]: Simplify a2 into a2
0.559 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.559 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.559 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.559 * [taylor]: Taking taylor expansion of a1 in a1
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (/ 1 1) into 1
0.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.560 * [taylor]: Taking taylor expansion of 2.0 in a1
0.560 * [backup-simplify]: Simplify 2.0 into 2.0
0.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.561 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.561 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.562 * [backup-simplify]: Simplify (- 0) into 0
0.562 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.562 * [backup-simplify]: Simplify (+ 0 1) into 1
0.562 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.563 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.563 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.563 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.563 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.563 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.563 * [taylor]: Taking taylor expansion of th in a1
0.563 * [backup-simplify]: Simplify th into th
0.563 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.563 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.563 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.563 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.563 * [taylor]: Taking taylor expansion of a2 in a1
0.563 * [backup-simplify]: Simplify a2 into a2
0.563 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.564 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.564 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.564 * [taylor]: Taking taylor expansion of a1 in a1
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (/ 1 1) into 1
0.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.565 * [taylor]: Taking taylor expansion of 2.0 in a1
0.565 * [backup-simplify]: Simplify 2.0 into 2.0
0.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.566 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.566 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.567 * [backup-simplify]: Simplify (- 0) into 0
0.567 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.567 * [backup-simplify]: Simplify (+ 0 1) into 1
0.567 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.568 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.568 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
0.568 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.568 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.568 * [taylor]: Taking taylor expansion of th in a2
0.568 * [backup-simplify]: Simplify th into th
0.568 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.568 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.568 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.568 * [taylor]: Taking taylor expansion of 2.0 in a2
0.568 * [backup-simplify]: Simplify 2.0 into 2.0
0.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.569 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.570 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.570 * [backup-simplify]: Simplify (- 0) into 0
0.570 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.571 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [backup-simplify]: Simplify (+ 0) into 0
0.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.575 * [backup-simplify]: Simplify (- 0) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in a2
0.578 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.581 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.582 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.583 * [backup-simplify]: Simplify (- 0) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
0.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.588 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.588 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.588 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.588 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.588 * [taylor]: Taking taylor expansion of th in a2
0.588 * [backup-simplify]: Simplify th into th
0.588 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.588 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.588 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.588 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.588 * [taylor]: Taking taylor expansion of 2.0 in a2
0.588 * [backup-simplify]: Simplify 2.0 into 2.0
0.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.590 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.590 * [taylor]: Taking taylor expansion of a2 in a2
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.590 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.590 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.590 * [backup-simplify]: Simplify (- 0) into 0
0.590 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.592 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.592 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.592 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.592 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.592 * [taylor]: Taking taylor expansion of th in th
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (/ 1 1) into 1
0.593 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.593 * [taylor]: Taking taylor expansion of 2.0 in th
0.593 * [backup-simplify]: Simplify 2.0 into 2.0
0.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.595 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.595 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.595 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.595 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.595 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.595 * [taylor]: Taking taylor expansion of th in th
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 1 into 1
0.596 * [backup-simplify]: Simplify (/ 1 1) into 1
0.596 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.596 * [taylor]: Taking taylor expansion of 2.0 in th
0.596 * [backup-simplify]: Simplify 2.0 into 2.0
0.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.597 * [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 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.598 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (+ 0 0) into 0
0.602 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.607 * [backup-simplify]: Simplify (- 0) into 0
0.608 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (/ (- 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))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
0.614 * [taylor]: Taking taylor expansion of 0 in a2
0.614 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify (+ 0) into 0
0.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.617 * [backup-simplify]: Simplify (- 0) into 0
0.617 * [backup-simplify]: Simplify (+ 0 0) into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.618 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.619 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.619 * [taylor]: Taking taylor expansion of 0 in th
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [taylor]: Taking taylor expansion of 0 in th
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (+ 0) into 0
0.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.621 * [backup-simplify]: Simplify (- 0) into 0
0.621 * [backup-simplify]: Simplify (+ 0 0) into 0
0.622 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.622 * [taylor]: Taking taylor expansion of 0 in th
0.622 * [backup-simplify]: Simplify 0 into 0
0.622 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
0.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.628 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.629 * [backup-simplify]: Simplify (- 0) into 0
0.629 * [backup-simplify]: Simplify (+ 0 0) into 0
0.630 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.635 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.635 * [taylor]: Taking taylor expansion of 0 in a2
0.635 * [backup-simplify]: Simplify 0 into 0
0.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.637 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.638 * [backup-simplify]: Simplify (- 0) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.640 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.641 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.641 * [taylor]: Taking taylor expansion of 0 in th
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
0.642 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (/ (sqrt 2.0) (cos (/ 1 (- th))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.642 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
0.642 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.642 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.642 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.642 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.643 * [taylor]: Taking taylor expansion of -1 in th
0.643 * [backup-simplify]: Simplify -1 into -1
0.643 * [taylor]: Taking taylor expansion of th in th
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (/ -1 1) into -1
0.643 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.643 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.643 * [taylor]: Taking taylor expansion of a2 in th
0.643 * [backup-simplify]: Simplify a2 into a2
0.643 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.643 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.643 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.643 * [taylor]: Taking taylor expansion of a1 in th
0.643 * [backup-simplify]: Simplify a1 into a1
0.643 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.643 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.643 * [taylor]: Taking taylor expansion of 2.0 in th
0.643 * [backup-simplify]: Simplify 2.0 into 2.0
0.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.645 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.645 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
0.646 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.646 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.646 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.646 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.646 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.646 * [taylor]: Taking taylor expansion of -1 in a2
0.646 * [backup-simplify]: Simplify -1 into -1
0.646 * [taylor]: Taking taylor expansion of th in a2
0.646 * [backup-simplify]: Simplify th into th
0.646 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.646 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.646 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.646 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.646 * [taylor]: Taking taylor expansion of a2 in a2
0.646 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [backup-simplify]: Simplify (* 1 1) into 1
0.647 * [backup-simplify]: Simplify (/ 1 1) into 1
0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.647 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.647 * [taylor]: Taking taylor expansion of a1 in a2
0.647 * [backup-simplify]: Simplify a1 into a1
0.647 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.648 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.648 * [taylor]: Taking taylor expansion of 2.0 in a2
0.648 * [backup-simplify]: Simplify 2.0 into 2.0
0.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.649 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.649 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.650 * [backup-simplify]: Simplify (- 0) into 0
0.650 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.650 * [backup-simplify]: Simplify (+ 1 0) into 1
0.650 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.651 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.651 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.651 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.651 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.651 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.651 * [taylor]: Taking taylor expansion of -1 in a1
0.651 * [backup-simplify]: Simplify -1 into -1
0.651 * [taylor]: Taking taylor expansion of th in a1
0.651 * [backup-simplify]: Simplify th into th
0.651 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.651 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.651 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.651 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.651 * [taylor]: Taking taylor expansion of a2 in a1
0.651 * [backup-simplify]: Simplify a2 into a2
0.651 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.652 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.652 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.652 * [taylor]: Taking taylor expansion of a1 in a1
0.652 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify 1 into 1
0.652 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify (/ 1 1) into 1
0.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.653 * [taylor]: Taking taylor expansion of 2.0 in a1
0.653 * [backup-simplify]: Simplify 2.0 into 2.0
0.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.654 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.654 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.654 * [backup-simplify]: Simplify (- 0) into 0
0.654 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.655 * [backup-simplify]: Simplify (+ 0 1) into 1
0.655 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.655 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.656 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.656 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.656 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.656 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.656 * [taylor]: Taking taylor expansion of -1 in a1
0.656 * [backup-simplify]: Simplify -1 into -1
0.656 * [taylor]: Taking taylor expansion of th in a1
0.656 * [backup-simplify]: Simplify th into th
0.656 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.656 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.656 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.656 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.656 * [taylor]: Taking taylor expansion of a2 in a1
0.656 * [backup-simplify]: Simplify a2 into a2
0.656 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.656 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.656 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.656 * [taylor]: Taking taylor expansion of a1 in a1
0.657 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify 1 into 1
0.657 * [backup-simplify]: Simplify (* 1 1) into 1
0.657 * [backup-simplify]: Simplify (/ 1 1) into 1
0.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.657 * [taylor]: Taking taylor expansion of 2.0 in a1
0.657 * [backup-simplify]: Simplify 2.0 into 2.0
0.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.659 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.659 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.659 * [backup-simplify]: Simplify (- 0) into 0
0.659 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.660 * [backup-simplify]: Simplify (+ 0 1) into 1
0.660 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.660 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.660 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
0.660 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.661 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.661 * [taylor]: Taking taylor expansion of -1 in a2
0.661 * [backup-simplify]: Simplify -1 into -1
0.661 * [taylor]: Taking taylor expansion of th in a2
0.661 * [backup-simplify]: Simplify th into th
0.661 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.661 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.661 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.661 * [taylor]: Taking taylor expansion of 2.0 in a2
0.661 * [backup-simplify]: Simplify 2.0 into 2.0
0.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.662 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.662 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.663 * [backup-simplify]: Simplify (- 0) into 0
0.663 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.663 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [backup-simplify]: Simplify (+ 0) into 0
0.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.668 * [backup-simplify]: Simplify (- 0) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.671 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.671 * [taylor]: Taking taylor expansion of 0 in a2
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.673 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.674 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.675 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.676 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.676 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.677 * [backup-simplify]: Simplify (- 0) into 0
0.677 * [backup-simplify]: Simplify (+ 0 0) into 0
0.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.682 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.682 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.682 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.682 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.682 * [taylor]: Taking taylor expansion of -1 in a2
0.682 * [backup-simplify]: Simplify -1 into -1
0.682 * [taylor]: Taking taylor expansion of th in a2
0.682 * [backup-simplify]: Simplify th into th
0.682 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.682 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.682 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.682 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.682 * [taylor]: Taking taylor expansion of 2.0 in a2
0.682 * [backup-simplify]: Simplify 2.0 into 2.0
0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.684 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.684 * [taylor]: Taking taylor expansion of a2 in a2
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.684 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.684 * [backup-simplify]: Simplify (- 0) into 0
0.684 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.685 * [backup-simplify]: Simplify (* 1 1) into 1
0.686 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.686 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.686 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.686 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.686 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.686 * [taylor]: Taking taylor expansion of -1 in th
0.686 * [backup-simplify]: Simplify -1 into -1
0.686 * [taylor]: Taking taylor expansion of th in th
0.686 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify 1 into 1
0.687 * [backup-simplify]: Simplify (/ -1 1) into -1
0.687 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.687 * [taylor]: Taking taylor expansion of 2.0 in th
0.687 * [backup-simplify]: Simplify 2.0 into 2.0
0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.688 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.689 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.689 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.689 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.689 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.689 * [taylor]: Taking taylor expansion of -1 in th
0.689 * [backup-simplify]: Simplify -1 into -1
0.689 * [taylor]: Taking taylor expansion of th in th
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify (/ -1 1) into -1
0.689 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.689 * [taylor]: Taking taylor expansion of 2.0 in th
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)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.690 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.690 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify (+ 0 0) into 0
0.693 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.695 * [backup-simplify]: Simplify (- 0) into 0
0.695 * [backup-simplify]: Simplify (+ 0 0) into 0
0.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.698 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
0.698 * [taylor]: Taking taylor expansion of 0 in a2
0.698 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify (+ 0) into 0
0.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.699 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.700 * [backup-simplify]: Simplify (- 0) into 0
0.700 * [backup-simplify]: Simplify (+ 0 0) into 0
0.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.701 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) 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 * [taylor]: Taking taylor expansion of 0 in th
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [taylor]: Taking taylor expansion of 0 in th
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (+ 0) into 0
0.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.703 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.704 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.704 * [backup-simplify]: Simplify (- 0) into 0
0.704 * [backup-simplify]: Simplify (+ 0 0) into 0
0.705 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.705 * [taylor]: Taking taylor expansion of 0 in th
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.706 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (+ 0 0) into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
0.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.715 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.716 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.718 * [backup-simplify]: Simplify (- 0) into 0
0.718 * [backup-simplify]: Simplify (+ 0 0) into 0
0.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.726 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.726 * [taylor]: Taking taylor expansion of 0 in a2
0.726 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.728 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.729 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.730 * [backup-simplify]: Simplify (- 0) into 0
0.731 * [backup-simplify]: Simplify (+ 0 0) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.734 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.736 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.736 * [taylor]: Taking taylor expansion of 0 in th
0.736 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
0.738 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.739 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
0.739 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
0.739 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.739 * [taylor]: Taking taylor expansion of 2.0 in th
0.739 * [backup-simplify]: Simplify 2.0 into 2.0
0.739 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.740 * [taylor]: Taking taylor expansion of (cos th) in th
0.740 * [taylor]: Taking taylor expansion of th in th
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.741 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.741 * [taylor]: Taking taylor expansion of 2.0 in th
0.741 * [backup-simplify]: Simplify 2.0 into 2.0
0.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.742 * [taylor]: Taking taylor expansion of (cos th) in th
0.742 * [taylor]: Taking taylor expansion of th in th
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.744 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.744 * [backup-simplify]: Simplify (+ 0) into 0
0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.745 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.748 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
0.754 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
0.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.756 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
0.758 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.763 * [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
0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 1/24 1)) (* 0 (/ 0 1)) (* (* 1/2 (sqrt 2.0)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 5/24 (sqrt 2.0))
0.776 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
0.779 * [backup-simplify]: Simplify (+ (* (* 5/24 (sqrt 2.0)) (pow th 4)) (+ (* (* 1/2 (sqrt 2.0)) (pow th 2)) (sqrt 2.0))) into (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
0.780 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.780 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
0.780 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.780 * [taylor]: Taking taylor expansion of 2.0 in th
0.780 * [backup-simplify]: Simplify 2.0 into 2.0
0.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.781 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.781 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.781 * [taylor]: Taking taylor expansion of th in th
0.781 * [backup-simplify]: Simplify 0 into 0
0.781 * [backup-simplify]: Simplify 1 into 1
0.781 * [backup-simplify]: Simplify (/ 1 1) into 1
0.782 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.782 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.782 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.782 * [taylor]: Taking taylor expansion of 2.0 in th
0.782 * [backup-simplify]: Simplify 2.0 into 2.0
0.783 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.783 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.783 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.783 * [taylor]: Taking taylor expansion of th in th
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 1 into 1
0.784 * [backup-simplify]: Simplify (/ 1 1) into 1
0.784 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.784 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.785 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.785 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
0.785 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.786 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.786 * [backup-simplify]: Simplify 0 into 0
0.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.788 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.789 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.789 * [backup-simplify]: Simplify 0 into 0
0.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.790 * [backup-simplify]: Simplify 0 into 0
0.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.792 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
0.793 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.793 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
0.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.793 * [taylor]: Taking taylor expansion of 2.0 in th
0.793 * [backup-simplify]: Simplify 2.0 into 2.0
0.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.794 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.794 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.794 * [taylor]: Taking taylor expansion of -1 in th
0.794 * [backup-simplify]: Simplify -1 into -1
0.794 * [taylor]: Taking taylor expansion of th in th
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [backup-simplify]: Simplify (/ -1 1) into -1
0.794 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.794 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.794 * [taylor]: Taking taylor expansion of 2.0 in th
0.794 * [backup-simplify]: Simplify 2.0 into 2.0
0.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.795 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.795 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.795 * [taylor]: Taking taylor expansion of -1 in th
0.795 * [backup-simplify]: Simplify -1 into -1
0.795 * [taylor]: Taking taylor expansion of th in th
0.795 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify 1 into 1
0.795 * [backup-simplify]: Simplify (/ -1 1) into -1
0.795 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.796 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.798 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.798 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.799 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.799 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.800 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.800 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.802 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.802 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.803 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.803 * [backup-simplify]: Simplify 0 into 0
0.803 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
0.804 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.804 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
0.804 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
0.804 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.804 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.804 * [taylor]: Taking taylor expansion of a2 in a2
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.804 * [taylor]: Taking taylor expansion of a1 in a2
0.804 * [backup-simplify]: Simplify a1 into a1
0.804 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.804 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.804 * [taylor]: Taking taylor expansion of a2 in a1
0.804 * [backup-simplify]: Simplify a2 into a2
0.804 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.804 * [taylor]: Taking taylor expansion of a1 in a1
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.804 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.804 * [taylor]: Taking taylor expansion of a2 in a1
0.804 * [backup-simplify]: Simplify a2 into a2
0.804 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.804 * [taylor]: Taking taylor expansion of a1 in a1
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.804 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.804 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.804 * [taylor]: Taking taylor expansion of a2 in a2
0.804 * [backup-simplify]: Simplify 0 into 0
0.804 * [backup-simplify]: Simplify 1 into 1
0.804 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.805 * [backup-simplify]: Simplify (+ 0 0) into 0
0.805 * [taylor]: Taking taylor expansion of 0 in a2
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.805 * [backup-simplify]: Simplify (* 1 1) into 1
0.806 * [backup-simplify]: Simplify (+ 0 1) into 1
0.806 * [taylor]: Taking taylor expansion of 1 in a2
0.806 * [backup-simplify]: Simplify 1 into 1
0.806 * [backup-simplify]: Simplify 1 into 1
0.806 * [backup-simplify]: Simplify 0 into 0
0.806 * [backup-simplify]: Simplify (* 1 1) into 1
0.806 * [backup-simplify]: Simplify 1 into 1
0.806 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.807 * [backup-simplify]: Simplify (+ 0 0) into 0
0.807 * [taylor]: Taking taylor expansion of 0 in a2
0.807 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.808 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.809 * [backup-simplify]: Simplify (+ 0 0) into 0
0.809 * [taylor]: Taking taylor expansion of 0 in a2
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
0.810 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.810 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.810 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.810 * [taylor]: Taking taylor expansion of a2 in a2
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.810 * [backup-simplify]: Simplify (/ 1 1) into 1
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.810 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.810 * [taylor]: Taking taylor expansion of a1 in a2
0.810 * [backup-simplify]: Simplify a1 into a1
0.810 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.810 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.810 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.810 * [taylor]: Taking taylor expansion of a2 in a1
0.810 * [backup-simplify]: Simplify a2 into a2
0.810 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.811 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.811 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.811 * [taylor]: Taking taylor expansion of a1 in a1
0.811 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify 1 into 1
0.811 * [backup-simplify]: Simplify (* 1 1) into 1
0.811 * [backup-simplify]: Simplify (/ 1 1) into 1
0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.811 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.811 * [taylor]: Taking taylor expansion of a2 in a1
0.811 * [backup-simplify]: Simplify a2 into a2
0.811 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.811 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.811 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.811 * [taylor]: Taking taylor expansion of a1 in a1
0.811 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify 1 into 1
0.812 * [backup-simplify]: Simplify (* 1 1) into 1
0.812 * [backup-simplify]: Simplify (/ 1 1) into 1
0.813 * [backup-simplify]: Simplify (+ 0 1) into 1
0.813 * [taylor]: Taking taylor expansion of 1 in a2
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.815 * [backup-simplify]: Simplify (+ 0 0) into 0
0.815 * [taylor]: Taking taylor expansion of 0 in a2
0.815 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.817 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.817 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.817 * [taylor]: Taking taylor expansion of a2 in a2
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.817 * [backup-simplify]: Simplify (* 1 1) into 1
0.818 * [backup-simplify]: Simplify (/ 1 1) into 1
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [backup-simplify]: Simplify 1 into 1
0.818 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.821 * [backup-simplify]: Simplify (+ 0 0) into 0
0.821 * [taylor]: Taking taylor expansion of 0 in a2
0.821 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.822 * [backup-simplify]: Simplify 0 into 0
0.822 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ 0 0) into 0
0.826 * [taylor]: Taking taylor expansion of 0 in a2
0.826 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.829 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.829 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.829 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.829 * [taylor]: Taking taylor expansion of a2 in a2
0.829 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 1 into 1
0.830 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.830 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.830 * [taylor]: Taking taylor expansion of a1 in a2
0.830 * [backup-simplify]: Simplify a1 into a1
0.831 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.831 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.831 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.831 * [taylor]: Taking taylor expansion of a2 in a1
0.831 * [backup-simplify]: Simplify a2 into a2
0.831 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.831 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.831 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.831 * [taylor]: Taking taylor expansion of a1 in a1
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (* 1 1) into 1
0.832 * [backup-simplify]: Simplify (/ 1 1) into 1
0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.832 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.832 * [taylor]: Taking taylor expansion of a2 in a1
0.832 * [backup-simplify]: Simplify a2 into a2
0.832 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.832 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.832 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.833 * [taylor]: Taking taylor expansion of a1 in a1
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 1 into 1
0.833 * [backup-simplify]: Simplify (* 1 1) into 1
0.833 * [backup-simplify]: Simplify (/ 1 1) into 1
0.834 * [backup-simplify]: Simplify (+ 0 1) into 1
0.834 * [taylor]: Taking taylor expansion of 1 in a2
0.834 * [backup-simplify]: Simplify 1 into 1
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ 0 0) into 0
0.836 * [taylor]: Taking taylor expansion of 0 in a2
0.836 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.837 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.837 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.837 * [taylor]: Taking taylor expansion of a2 in a2
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify 1 into 1
0.838 * [backup-simplify]: Simplify (* 1 1) into 1
0.838 * [backup-simplify]: Simplify (/ 1 1) into 1
0.838 * [backup-simplify]: Simplify 1 into 1
0.838 * [backup-simplify]: Simplify 1 into 1
0.838 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ 0 0) into 0
0.840 * [taylor]: Taking taylor expansion of 0 in a2
0.840 * [backup-simplify]: Simplify 0 into 0
0.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify 0 into 0
0.840 * [backup-simplify]: Simplify 0 into 0
0.840 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.843 * [backup-simplify]: Simplify (+ 0 0) into 0
0.843 * [taylor]: Taking taylor expansion of 0 in a2
0.843 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.844 * * * [progress]: simplifying candidates
0.847 * [simplify]: Simplifying:
  (- (log (+ (* a1 a1) (* a2 a2))) (- (log (sqrt 2.0)) (log (cos th))))
  (- (log (+ (* a1 a1) (* a2 a2))) (log (/ (sqrt 2.0) (cos th))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 1) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ 1 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2.0))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ 1 (/ (sqrt 1) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ 1 (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ 1 (/ 1 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ 1 1)
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ 1 (sqrt 2.0))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (cos th)))
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 1))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (* (/ (sqrt 2.0) (cos th)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (* (/ (sqrt 2.0) (cos th)) (- (* a1 a1) (* a2 a2)))
  (- (log (sqrt 2.0)) (log (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 1) (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 1) 1)
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ 1 1)
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) 1)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (* (exp (* a1 a1)) (exp (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
  (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
0.850 * * [simplify]: iteration 0: 250 enodes
0.932 * * [simplify]: iteration 1: 680 enodes
1.475 * * [simplify]: iteration 2: 4529 enodes
2.408 * * [simplify]: iteration complete: 5000 enodes
2.408 * * [simplify]: Extracting #0: cost 163 inf + 0
2.411 * * [simplify]: Extracting #1: cost 1177 inf + 1
2.416 * * [simplify]: Extracting #2: cost 1792 inf + 543
2.437 * * [simplify]: Extracting #3: cost 1681 inf + 30777
2.470 * * [simplify]: Extracting #4: cost 1211 inf + 102048
2.528 * * [simplify]: Extracting #5: cost 484 inf + 304479
2.632 * * [simplify]: Extracting #6: cost 54 inf + 459925
2.734 * * [simplify]: Extracting #7: cost 0 inf + 481358
2.835 * * [simplify]: Extracting #8: cost 0 inf + 481237
2.961 * [simplify]: Simplified to:
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (exp (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))) (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (- (- (* a1 a1)) (* a2 a2))
  (/ (- (sqrt 2.0)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (cbrt (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt 2.0)))
  (* (cos th) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ 1 (cbrt (sqrt 2.0))) (/ 1 (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ 1 (cbrt (sqrt 2.0))) (/ 1 (cbrt (sqrt 2.0))))
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ 1 (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (* (+ (* a1 a1) (* a2 a2)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (cos th)) (* (+ a1 a2) (- a1 a2)))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt 2.0) 2.0) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt 2.0) 2.0) (* (* (cos th) (cos th)) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (exp (+ (* a1 a1) (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (* (+ a1 a2) (- a1 a2))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (sqrt 2.0) (+ (* (* 5/24 (sqrt 2.0)) (* (* th th) (* th th))) (* (* 1/2 (* th th)) (sqrt 2.0))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
2.989 * * * [progress]: adding candidates to table
3.960 * * [progress]: iteration 2 / 4
3.961 * * * [progress]: picking best candidate
4.027 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))>
4.027 * * * [progress]: localizing error
4.056 * * * [progress]: generating rewritten candidates
4.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
4.062 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.075 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
4.095 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
4.319 * * * [progress]: generating series expansions
4.319 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
4.319 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
4.319 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
4.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
4.319 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.319 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.319 * [taylor]: Taking taylor expansion of a2 in a2
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 1 into 1
4.319 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.319 * [taylor]: Taking taylor expansion of a1 in a2
4.319 * [backup-simplify]: Simplify a1 into a1
4.319 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.319 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.320 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
4.320 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.320 * [backup-simplify]: Simplify (+ 0 0) into 0
4.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
4.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
4.320 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.320 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.320 * [taylor]: Taking taylor expansion of a2 in a1
4.320 * [backup-simplify]: Simplify a2 into a2
4.320 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.320 * [taylor]: Taking taylor expansion of a1 in a1
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify 1 into 1
4.320 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.321 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.321 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
4.321 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.321 * [backup-simplify]: Simplify (+ 0 0) into 0
4.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
4.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
4.321 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.321 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.321 * [taylor]: Taking taylor expansion of a2 in a1
4.321 * [backup-simplify]: Simplify a2 into a2
4.321 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.321 * [taylor]: Taking taylor expansion of a1 in a1
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 1 into 1
4.321 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.321 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.321 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
4.321 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.322 * [backup-simplify]: Simplify (+ 0 0) into 0
4.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
4.322 * [taylor]: Taking taylor expansion of a2 in a2
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 1 into 1
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [taylor]: Taking taylor expansion of 0 in a2
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 1 into 1
4.322 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.323 * [backup-simplify]: Simplify (* 1 1) into 1
4.323 * [backup-simplify]: Simplify (+ 0 1) into 1
4.323 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
4.323 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
4.323 * [taylor]: Taking taylor expansion of 1/2 in a2
4.323 * [backup-simplify]: Simplify 1/2 into 1/2
4.324 * [taylor]: Taking taylor expansion of a2 in a2
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.327 * [backup-simplify]: Simplify (+ 0 0) into 0
4.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
4.327 * [taylor]: Taking taylor expansion of 0 in a2
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
4.329 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
4.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.329 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.329 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.329 * [taylor]: Taking taylor expansion of a2 in a2
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [backup-simplify]: Simplify (* 1 1) into 1
4.330 * [backup-simplify]: Simplify (/ 1 1) into 1
4.330 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.330 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.330 * [taylor]: Taking taylor expansion of a1 in a2
4.330 * [backup-simplify]: Simplify a1 into a1
4.330 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.330 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.331 * [backup-simplify]: Simplify (+ 1 0) into 1
4.331 * [backup-simplify]: Simplify (sqrt 1) into 1
4.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.333 * [backup-simplify]: Simplify (+ 0 0) into 0
4.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.334 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.334 * [taylor]: Taking taylor expansion of a2 in a1
4.334 * [backup-simplify]: Simplify a2 into a2
4.334 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.334 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.334 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.334 * [taylor]: Taking taylor expansion of a1 in a1
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (* 1 1) into 1
4.335 * [backup-simplify]: Simplify (/ 1 1) into 1
4.335 * [backup-simplify]: Simplify (+ 0 1) into 1
4.335 * [backup-simplify]: Simplify (sqrt 1) into 1
4.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.337 * [backup-simplify]: Simplify (+ 0 0) into 0
4.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.338 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.338 * [taylor]: Taking taylor expansion of a2 in a1
4.338 * [backup-simplify]: Simplify a2 into a2
4.338 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.338 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.338 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.338 * [taylor]: Taking taylor expansion of a1 in a1
4.339 * [backup-simplify]: Simplify 0 into 0
4.339 * [backup-simplify]: Simplify 1 into 1
4.339 * [backup-simplify]: Simplify (* 1 1) into 1
4.339 * [backup-simplify]: Simplify (/ 1 1) into 1
4.340 * [backup-simplify]: Simplify (+ 0 1) into 1
4.340 * [backup-simplify]: Simplify (sqrt 1) into 1
4.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.342 * [backup-simplify]: Simplify (+ 0 0) into 0
4.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.343 * [taylor]: Taking taylor expansion of 1 in a2
4.343 * [backup-simplify]: Simplify 1 into 1
4.343 * [taylor]: Taking taylor expansion of 0 in a2
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 1 into 1
4.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.345 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.347 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
4.347 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
4.347 * [taylor]: Taking taylor expansion of 1/2 in a2
4.347 * [backup-simplify]: Simplify 1/2 into 1/2
4.347 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.347 * [taylor]: Taking taylor expansion of a2 in a2
4.347 * [backup-simplify]: Simplify 0 into 0
4.347 * [backup-simplify]: Simplify 1 into 1
4.348 * [backup-simplify]: Simplify (* 1 1) into 1
4.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.350 * [backup-simplify]: Simplify 0 into 0
4.350 * [backup-simplify]: Simplify 0 into 0
4.350 * [backup-simplify]: Simplify 0 into 0
4.350 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.353 * [backup-simplify]: Simplify (+ 0 0) into 0
4.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
4.353 * [taylor]: Taking taylor expansion of 0 in a2
4.353 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
4.356 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
4.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.356 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.356 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.356 * [taylor]: Taking taylor expansion of a2 in a2
4.356 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify 1 into 1
4.356 * [backup-simplify]: Simplify (* 1 1) into 1
4.357 * [backup-simplify]: Simplify (/ 1 1) into 1
4.357 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.357 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.357 * [taylor]: Taking taylor expansion of a1 in a2
4.357 * [backup-simplify]: Simplify a1 into a1
4.357 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.357 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.358 * [backup-simplify]: Simplify (+ 1 0) into 1
4.358 * [backup-simplify]: Simplify (sqrt 1) into 1
4.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.360 * [backup-simplify]: Simplify (+ 0 0) into 0
4.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.361 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.361 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.361 * [taylor]: Taking taylor expansion of a2 in a1
4.361 * [backup-simplify]: Simplify a2 into a2
4.361 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.361 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.361 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.361 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.361 * [taylor]: Taking taylor expansion of a1 in a1
4.361 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify 1 into 1
4.361 * [backup-simplify]: Simplify (* 1 1) into 1
4.362 * [backup-simplify]: Simplify (/ 1 1) into 1
4.362 * [backup-simplify]: Simplify (+ 0 1) into 1
4.362 * [backup-simplify]: Simplify (sqrt 1) into 1
4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.364 * [backup-simplify]: Simplify (+ 0 0) into 0
4.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.365 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.365 * [taylor]: Taking taylor expansion of a2 in a1
4.365 * [backup-simplify]: Simplify a2 into a2
4.365 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.366 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.366 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.366 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.366 * [taylor]: Taking taylor expansion of a1 in a1
4.366 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify 1 into 1
4.366 * [backup-simplify]: Simplify (* 1 1) into 1
4.366 * [backup-simplify]: Simplify (/ 1 1) into 1
4.367 * [backup-simplify]: Simplify (+ 0 1) into 1
4.367 * [backup-simplify]: Simplify (sqrt 1) into 1
4.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.369 * [backup-simplify]: Simplify (+ 0 0) into 0
4.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.370 * [taylor]: Taking taylor expansion of 1 in a2
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [taylor]: Taking taylor expansion of 0 in a2
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.372 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.373 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
4.373 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
4.373 * [taylor]: Taking taylor expansion of 1/2 in a2
4.373 * [backup-simplify]: Simplify 1/2 into 1/2
4.373 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.373 * [taylor]: Taking taylor expansion of a2 in a2
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (* 1 1) into 1
4.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.379 * [backup-simplify]: Simplify (+ 0 0) into 0
4.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
4.379 * [taylor]: Taking taylor expansion of 0 in a2
4.379 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
4.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.382 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
4.382 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
4.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
4.382 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.382 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.382 * [taylor]: Taking taylor expansion of a2 in a2
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 1 into 1
4.382 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.382 * [taylor]: Taking taylor expansion of a1 in a2
4.382 * [backup-simplify]: Simplify a1 into a1
4.382 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.383 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.383 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
4.383 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.383 * [backup-simplify]: Simplify (+ 0 0) into 0
4.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
4.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
4.383 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.384 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.384 * [taylor]: Taking taylor expansion of a2 in a1
4.384 * [backup-simplify]: Simplify a2 into a2
4.384 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.384 * [taylor]: Taking taylor expansion of a1 in a1
4.384 * [backup-simplify]: Simplify 0 into 0
4.384 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.384 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.384 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
4.384 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.384 * [backup-simplify]: Simplify (+ 0 0) into 0
4.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
4.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
4.385 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.385 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.385 * [taylor]: Taking taylor expansion of a2 in a1
4.385 * [backup-simplify]: Simplify a2 into a2
4.385 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.385 * [taylor]: Taking taylor expansion of a1 in a1
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 1 into 1
4.385 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.385 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.385 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
4.385 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.386 * [backup-simplify]: Simplify (+ 0 0) into 0
4.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
4.386 * [taylor]: Taking taylor expansion of a2 in a2
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify 1 into 1
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [taylor]: Taking taylor expansion of 0 in a2
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify 1 into 1
4.387 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.387 * [backup-simplify]: Simplify (* 1 1) into 1
4.388 * [backup-simplify]: Simplify (+ 0 1) into 1
4.388 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
4.388 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
4.388 * [taylor]: Taking taylor expansion of 1/2 in a2
4.388 * [backup-simplify]: Simplify 1/2 into 1/2
4.388 * [taylor]: Taking taylor expansion of a2 in a2
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify 1 into 1
4.389 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.392 * [backup-simplify]: Simplify (+ 0 0) into 0
4.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
4.392 * [taylor]: Taking taylor expansion of 0 in a2
4.392 * [backup-simplify]: Simplify 0 into 0
4.392 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.393 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
4.393 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.393 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
4.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.393 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.394 * [taylor]: Taking taylor expansion of a2 in a2
4.394 * [backup-simplify]: Simplify 0 into 0
4.394 * [backup-simplify]: Simplify 1 into 1
4.394 * [backup-simplify]: Simplify (* 1 1) into 1
4.394 * [backup-simplify]: Simplify (/ 1 1) into 1
4.394 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.394 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.394 * [taylor]: Taking taylor expansion of a1 in a2
4.394 * [backup-simplify]: Simplify a1 into a1
4.394 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.395 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.395 * [backup-simplify]: Simplify (+ 1 0) into 1
4.395 * [backup-simplify]: Simplify (sqrt 1) into 1
4.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.397 * [backup-simplify]: Simplify (+ 0 0) into 0
4.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.398 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.398 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.398 * [taylor]: Taking taylor expansion of a2 in a1
4.398 * [backup-simplify]: Simplify a2 into a2
4.398 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.399 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.399 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.399 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.399 * [taylor]: Taking taylor expansion of a1 in a1
4.399 * [backup-simplify]: Simplify 0 into 0
4.399 * [backup-simplify]: Simplify 1 into 1
4.399 * [backup-simplify]: Simplify (* 1 1) into 1
4.399 * [backup-simplify]: Simplify (/ 1 1) into 1
4.400 * [backup-simplify]: Simplify (+ 0 1) into 1
4.400 * [backup-simplify]: Simplify (sqrt 1) into 1
4.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.402 * [backup-simplify]: Simplify (+ 0 0) into 0
4.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.403 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.403 * [taylor]: Taking taylor expansion of a2 in a1
4.403 * [backup-simplify]: Simplify a2 into a2
4.403 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.403 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.404 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.404 * [taylor]: Taking taylor expansion of a1 in a1
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.404 * [backup-simplify]: Simplify (* 1 1) into 1
4.405 * [backup-simplify]: Simplify (/ 1 1) into 1
4.405 * [backup-simplify]: Simplify (+ 0 1) into 1
4.405 * [backup-simplify]: Simplify (sqrt 1) into 1
4.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.407 * [backup-simplify]: Simplify (+ 0 0) into 0
4.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.408 * [taylor]: Taking taylor expansion of 1 in a2
4.408 * [backup-simplify]: Simplify 1 into 1
4.408 * [taylor]: Taking taylor expansion of 0 in a2
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 1 into 1
4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.410 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.412 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
4.412 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
4.412 * [taylor]: Taking taylor expansion of 1/2 in a2
4.412 * [backup-simplify]: Simplify 1/2 into 1/2
4.412 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.412 * [taylor]: Taking taylor expansion of a2 in a2
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (* 1 1) into 1
4.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (+ 0 0) into 0
4.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
4.418 * [taylor]: Taking taylor expansion of 0 in a2
4.418 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
4.421 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
4.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.421 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.421 * [taylor]: Taking taylor expansion of a2 in a2
4.421 * [backup-simplify]: Simplify 0 into 0
4.421 * [backup-simplify]: Simplify 1 into 1
4.421 * [backup-simplify]: Simplify (* 1 1) into 1
4.422 * [backup-simplify]: Simplify (/ 1 1) into 1
4.422 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.422 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.422 * [taylor]: Taking taylor expansion of a1 in a2
4.422 * [backup-simplify]: Simplify a1 into a1
4.422 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.422 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.422 * [backup-simplify]: Simplify (+ 1 0) into 1
4.423 * [backup-simplify]: Simplify (sqrt 1) into 1
4.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.425 * [backup-simplify]: Simplify (+ 0 0) into 0
4.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.425 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.425 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.426 * [taylor]: Taking taylor expansion of a2 in a1
4.426 * [backup-simplify]: Simplify a2 into a2
4.426 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.426 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.426 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.426 * [taylor]: Taking taylor expansion of a1 in a1
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 1 into 1
4.426 * [backup-simplify]: Simplify (* 1 1) into 1
4.427 * [backup-simplify]: Simplify (/ 1 1) into 1
4.427 * [backup-simplify]: Simplify (+ 0 1) into 1
4.427 * [backup-simplify]: Simplify (sqrt 1) into 1
4.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.429 * [backup-simplify]: Simplify (+ 0 0) into 0
4.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.430 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.430 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.430 * [taylor]: Taking taylor expansion of a2 in a1
4.430 * [backup-simplify]: Simplify a2 into a2
4.430 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.431 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.431 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.431 * [taylor]: Taking taylor expansion of a1 in a1
4.431 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify (* 1 1) into 1
4.431 * [backup-simplify]: Simplify (/ 1 1) into 1
4.432 * [backup-simplify]: Simplify (+ 0 1) into 1
4.432 * [backup-simplify]: Simplify (sqrt 1) into 1
4.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.434 * [backup-simplify]: Simplify (+ 0 0) into 0
4.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.435 * [taylor]: Taking taylor expansion of 1 in a2
4.435 * [backup-simplify]: Simplify 1 into 1
4.435 * [taylor]: Taking taylor expansion of 0 in a2
4.435 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify 1 into 1
4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.437 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.438 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
4.439 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
4.439 * [taylor]: Taking taylor expansion of 1/2 in a2
4.439 * [backup-simplify]: Simplify 1/2 into 1/2
4.439 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.439 * [taylor]: Taking taylor expansion of a2 in a2
4.439 * [backup-simplify]: Simplify 0 into 0
4.439 * [backup-simplify]: Simplify 1 into 1
4.439 * [backup-simplify]: Simplify (* 1 1) into 1
4.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify 0 into 0
4.441 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
4.445 * [taylor]: Taking taylor expansion of 0 in a2
4.445 * [backup-simplify]: Simplify 0 into 0
4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
4.448 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
4.448 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) into (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))
4.448 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in (th a1 a2) around 0
4.448 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a2
4.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a2
4.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.448 * [taylor]: Taking taylor expansion of 2.0 in a2
4.449 * [backup-simplify]: Simplify 2.0 into 2.0
4.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.450 * [taylor]: Taking taylor expansion of (cos th) in a2
4.450 * [taylor]: Taking taylor expansion of th in a2
4.450 * [backup-simplify]: Simplify th into th
4.450 * [backup-simplify]: Simplify (cos th) into (cos th)
4.450 * [backup-simplify]: Simplify (sin th) into (sin th)
4.450 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.450 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.450 * [backup-simplify]: Simplify (- 0) into 0
4.451 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.451 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
4.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a2
4.451 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a2
4.451 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.451 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.451 * [taylor]: Taking taylor expansion of a2 in a2
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 1 into 1
4.451 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.451 * [taylor]: Taking taylor expansion of a1 in a2
4.451 * [backup-simplify]: Simplify a1 into a1
4.451 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.452 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.452 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.452 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a1 2))) into (/ 1 a1)
4.452 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.452 * [backup-simplify]: Simplify (+ 0 0) into 0
4.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a1 2))))) into 0
4.453 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
4.453 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a1
4.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.453 * [taylor]: Taking taylor expansion of 2.0 in a1
4.453 * [backup-simplify]: Simplify 2.0 into 2.0
4.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.454 * [taylor]: Taking taylor expansion of (cos th) in a1
4.454 * [taylor]: Taking taylor expansion of th in a1
4.454 * [backup-simplify]: Simplify th into th
4.454 * [backup-simplify]: Simplify (cos th) into (cos th)
4.454 * [backup-simplify]: Simplify (sin th) into (sin th)
4.454 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.455 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.455 * [backup-simplify]: Simplify (- 0) into 0
4.455 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.455 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
4.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
4.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
4.455 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.456 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.456 * [taylor]: Taking taylor expansion of a2 in a1
4.456 * [backup-simplify]: Simplify a2 into a2
4.456 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.456 * [taylor]: Taking taylor expansion of a1 in a1
4.456 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify 1 into 1
4.456 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.456 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.456 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.456 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
4.456 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.457 * [backup-simplify]: Simplify (+ 0 0) into 0
4.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
4.457 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
4.457 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.457 * [taylor]: Taking taylor expansion of 2.0 in th
4.457 * [backup-simplify]: Simplify 2.0 into 2.0
4.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.458 * [taylor]: Taking taylor expansion of (cos th) in th
4.458 * [taylor]: Taking taylor expansion of th in th
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.459 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
4.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
4.459 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.459 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.459 * [taylor]: Taking taylor expansion of a2 in th
4.459 * [backup-simplify]: Simplify a2 into a2
4.459 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.460 * [taylor]: Taking taylor expansion of a1 in th
4.460 * [backup-simplify]: Simplify a1 into a1
4.460 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.460 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.460 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.460 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
4.460 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
4.461 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.461 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.461 * [backup-simplify]: Simplify (+ 0 0) into 0
4.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
4.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
4.462 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
4.462 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.462 * [taylor]: Taking taylor expansion of 2.0 in th
4.462 * [backup-simplify]: Simplify 2.0 into 2.0
4.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.463 * [taylor]: Taking taylor expansion of (cos th) in th
4.463 * [taylor]: Taking taylor expansion of th in th
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 1 into 1
4.467 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
4.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
4.467 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.467 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.467 * [taylor]: Taking taylor expansion of a2 in th
4.468 * [backup-simplify]: Simplify a2 into a2
4.468 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.468 * [taylor]: Taking taylor expansion of a1 in th
4.468 * [backup-simplify]: Simplify a1 into a1
4.468 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.468 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.468 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.468 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
4.469 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
4.469 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.469 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.469 * [backup-simplify]: Simplify (+ 0 0) into 0
4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
4.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
4.471 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))
4.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
4.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.471 * [taylor]: Taking taylor expansion of 2.0 in a1
4.471 * [backup-simplify]: Simplify 2.0 into 2.0
4.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
4.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
4.472 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.472 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.472 * [taylor]: Taking taylor expansion of a2 in a1
4.473 * [backup-simplify]: Simplify a2 into a2
4.473 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.473 * [taylor]: Taking taylor expansion of a1 in a1
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.473 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.473 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.473 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
4.473 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
4.474 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
4.474 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
4.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.475 * [taylor]: Taking taylor expansion of 2.0 in a2
4.475 * [backup-simplify]: Simplify 2.0 into 2.0
4.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.476 * [taylor]: Taking taylor expansion of a2 in a2
4.476 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify 1 into 1
4.476 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.477 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify (+ 0) into 0
4.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.480 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
4.480 * [taylor]: Taking taylor expansion of 0 in a1
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [taylor]: Taking taylor expansion of 0 in a2
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (/ 1 a2))) into 0
4.480 * [taylor]: Taking taylor expansion of 0 in a2
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.484 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.484 * [backup-simplify]: Simplify (+ 0 0) into 0
4.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))) (* 0 (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
4.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
4.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
4.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* (* 1/2 (sqrt 2.0)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))))
4.495 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) in a1
4.495 * [taylor]: Taking taylor expansion of 1/2 in a1
4.495 * [backup-simplify]: Simplify 1/2 into 1/2
4.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
4.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.495 * [taylor]: Taking taylor expansion of 2.0 in a1
4.495 * [backup-simplify]: Simplify 2.0 into 2.0
4.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
4.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
4.496 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.496 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.496 * [taylor]: Taking taylor expansion of a2 in a1
4.496 * [backup-simplify]: Simplify a2 into a2
4.496 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.496 * [taylor]: Taking taylor expansion of a1 in a1
4.496 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify 1 into 1
4.496 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.496 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.496 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.497 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
4.497 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.497 * [backup-simplify]: Simplify (+ 0 0) into 0
4.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
4.498 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
4.498 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 2.0) a2)) into (* 1/2 (/ (sqrt 2.0) a2))
4.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) a2)) in a2
4.498 * [taylor]: Taking taylor expansion of 1/2 in a2
4.498 * [backup-simplify]: Simplify 1/2 into 1/2
4.498 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
4.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.498 * [taylor]: Taking taylor expansion of 2.0 in a2
4.498 * [backup-simplify]: Simplify 2.0 into 2.0
4.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.500 * [taylor]: Taking taylor expansion of a2 in a2
4.500 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify 1 into 1
4.501 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [taylor]: Taking taylor expansion of 0 in a2
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) into (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.504 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (th a1 a2) around 0
4.504 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
4.504 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
4.504 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.504 * [taylor]: Taking taylor expansion of 2.0 in a2
4.504 * [backup-simplify]: Simplify 2.0 into 2.0
4.504 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.505 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.505 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.505 * [taylor]: Taking taylor expansion of th in a2
4.505 * [backup-simplify]: Simplify th into th
4.505 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.505 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.505 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.505 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.505 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.506 * [backup-simplify]: Simplify (- 0) into 0
4.506 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.506 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
4.506 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.506 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.506 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.506 * [taylor]: Taking taylor expansion of a2 in a2
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [backup-simplify]: Simplify 1 into 1
4.507 * [backup-simplify]: Simplify (* 1 1) into 1
4.507 * [backup-simplify]: Simplify (/ 1 1) into 1
4.507 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.507 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.507 * [taylor]: Taking taylor expansion of a1 in a2
4.507 * [backup-simplify]: Simplify a1 into a1
4.507 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.507 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.508 * [backup-simplify]: Simplify (+ 1 0) into 1
4.508 * [backup-simplify]: Simplify (/ 1 1) into 1
4.509 * [backup-simplify]: Simplify (sqrt 1) into 1
4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.510 * [backup-simplify]: Simplify (+ 0 0) into 0
4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.512 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.512 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
4.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.512 * [taylor]: Taking taylor expansion of 2.0 in a1
4.512 * [backup-simplify]: Simplify 2.0 into 2.0
4.512 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.513 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.513 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.513 * [taylor]: Taking taylor expansion of th in a1
4.513 * [backup-simplify]: Simplify th into th
4.513 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.513 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.513 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.513 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.513 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.514 * [backup-simplify]: Simplify (- 0) into 0
4.514 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.514 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.514 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.514 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.514 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.514 * [taylor]: Taking taylor expansion of a2 in a1
4.515 * [backup-simplify]: Simplify a2 into a2
4.515 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.515 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.515 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.515 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.515 * [taylor]: Taking taylor expansion of a1 in a1
4.515 * [backup-simplify]: Simplify 0 into 0
4.515 * [backup-simplify]: Simplify 1 into 1
4.515 * [backup-simplify]: Simplify (* 1 1) into 1
4.516 * [backup-simplify]: Simplify (/ 1 1) into 1
4.516 * [backup-simplify]: Simplify (+ 0 1) into 1
4.516 * [backup-simplify]: Simplify (/ 1 1) into 1
4.517 * [backup-simplify]: Simplify (sqrt 1) into 1
4.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.518 * [backup-simplify]: Simplify (+ 0 0) into 0
4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.520 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.520 * [taylor]: Taking taylor expansion of 2.0 in th
4.520 * [backup-simplify]: Simplify 2.0 into 2.0
4.520 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.521 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.521 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.521 * [taylor]: Taking taylor expansion of th in th
4.521 * [backup-simplify]: Simplify 0 into 0
4.521 * [backup-simplify]: Simplify 1 into 1
4.521 * [backup-simplify]: Simplify (/ 1 1) into 1
4.522 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.522 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.522 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.522 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.522 * [taylor]: Taking taylor expansion of a2 in th
4.522 * [backup-simplify]: Simplify a2 into a2
4.522 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.522 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.522 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.522 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.523 * [taylor]: Taking taylor expansion of a1 in th
4.523 * [backup-simplify]: Simplify a1 into a1
4.523 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.523 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.523 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.523 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.524 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.524 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.524 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.525 * [backup-simplify]: Simplify (+ 0 0) into 0
4.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.526 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.526 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.526 * [taylor]: Taking taylor expansion of 2.0 in th
4.526 * [backup-simplify]: Simplify 2.0 into 2.0
4.527 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.527 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.527 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.527 * [taylor]: Taking taylor expansion of th in th
4.528 * [backup-simplify]: Simplify 0 into 0
4.528 * [backup-simplify]: Simplify 1 into 1
4.528 * [backup-simplify]: Simplify (/ 1 1) into 1
4.528 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.529 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.529 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.529 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.529 * [taylor]: Taking taylor expansion of a2 in th
4.529 * [backup-simplify]: Simplify a2 into a2
4.529 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.529 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.529 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.529 * [taylor]: Taking taylor expansion of a1 in th
4.529 * [backup-simplify]: Simplify a1 into a1
4.529 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.529 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.530 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.530 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.530 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.530 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.531 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.531 * [backup-simplify]: Simplify (+ 0 0) into 0
4.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.533 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.533 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.533 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
4.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.533 * [taylor]: Taking taylor expansion of 2.0 in a1
4.533 * [backup-simplify]: Simplify 2.0 into 2.0
4.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.534 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.535 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.535 * [taylor]: Taking taylor expansion of th in a1
4.535 * [backup-simplify]: Simplify th into th
4.535 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.535 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.535 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.535 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.535 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.535 * [backup-simplify]: Simplify (- 0) into 0
4.535 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.536 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.536 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.536 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.536 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.536 * [taylor]: Taking taylor expansion of a2 in a1
4.536 * [backup-simplify]: Simplify a2 into a2
4.536 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.536 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.536 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.536 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.536 * [taylor]: Taking taylor expansion of a1 in a1
4.536 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify 1 into 1
4.537 * [backup-simplify]: Simplify (* 1 1) into 1
4.537 * [backup-simplify]: Simplify (/ 1 1) into 1
4.538 * [backup-simplify]: Simplify (+ 0 1) into 1
4.538 * [backup-simplify]: Simplify (/ 1 1) into 1
4.538 * [backup-simplify]: Simplify (sqrt 1) into 1
4.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.540 * [backup-simplify]: Simplify (+ 0 0) into 0
4.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.542 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ 1 th))) 1) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.542 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
4.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.542 * [taylor]: Taking taylor expansion of 2.0 in a2
4.542 * [backup-simplify]: Simplify 2.0 into 2.0
4.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.543 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.543 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.543 * [taylor]: Taking taylor expansion of th in a2
4.543 * [backup-simplify]: Simplify th into th
4.543 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.543 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.543 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.543 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.544 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.544 * [backup-simplify]: Simplify (- 0) into 0
4.544 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.544 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.545 * [backup-simplify]: Simplify (+ 0) into 0
4.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.547 * [backup-simplify]: Simplify (- 0) into 0
4.547 * [backup-simplify]: Simplify (+ 0 0) into 0
4.548 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.548 * [backup-simplify]: Simplify 0 into 0
4.549 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.550 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.550 * [taylor]: Taking taylor expansion of 0 in a1
4.550 * [backup-simplify]: Simplify 0 into 0
4.550 * [taylor]: Taking taylor expansion of 0 in a2
4.550 * [backup-simplify]: Simplify 0 into 0
4.550 * [backup-simplify]: Simplify 0 into 0
4.550 * [backup-simplify]: Simplify (+ 0) into 0
4.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.552 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.553 * [backup-simplify]: Simplify (- 0) into 0
4.553 * [backup-simplify]: Simplify (+ 0 0) into 0
4.554 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.554 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 1)) into 0
4.555 * [taylor]: Taking taylor expansion of 0 in a2
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify 0 into 0
4.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.560 * [backup-simplify]: Simplify (- 0) into 0
4.560 * [backup-simplify]: Simplify (+ 0 0) into 0
4.561 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.561 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.562 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.563 * [backup-simplify]: Simplify (+ 0 0) into 0
4.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (* 0 (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.568 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.568 * [taylor]: Taking taylor expansion of 0 in a1
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in a2
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in a2
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) into (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.569 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (th a1 a2) around 0
4.569 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
4.569 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
4.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.569 * [taylor]: Taking taylor expansion of 2.0 in a2
4.570 * [backup-simplify]: Simplify 2.0 into 2.0
4.570 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.571 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.571 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.571 * [taylor]: Taking taylor expansion of -1 in a2
4.571 * [backup-simplify]: Simplify -1 into -1
4.571 * [taylor]: Taking taylor expansion of th in a2
4.571 * [backup-simplify]: Simplify th into th
4.571 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.571 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.571 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.571 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.571 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.572 * [backup-simplify]: Simplify (- 0) into 0
4.572 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.572 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
4.572 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.572 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.572 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.572 * [taylor]: Taking taylor expansion of a2 in a2
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 1 into 1
4.573 * [backup-simplify]: Simplify (* 1 1) into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.573 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.573 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.573 * [taylor]: Taking taylor expansion of a1 in a2
4.573 * [backup-simplify]: Simplify a1 into a1
4.573 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.574 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.574 * [backup-simplify]: Simplify (+ 1 0) into 1
4.574 * [backup-simplify]: Simplify (/ 1 1) into 1
4.575 * [backup-simplify]: Simplify (sqrt 1) into 1
4.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.577 * [backup-simplify]: Simplify (+ 0 0) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.578 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.578 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
4.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.578 * [taylor]: Taking taylor expansion of 2.0 in a1
4.578 * [backup-simplify]: Simplify 2.0 into 2.0
4.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.580 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.580 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.580 * [taylor]: Taking taylor expansion of -1 in a1
4.580 * [backup-simplify]: Simplify -1 into -1
4.580 * [taylor]: Taking taylor expansion of th in a1
4.580 * [backup-simplify]: Simplify th into th
4.580 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.580 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.580 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.580 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.580 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.581 * [backup-simplify]: Simplify (- 0) into 0
4.581 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.581 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.581 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.581 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.581 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.581 * [taylor]: Taking taylor expansion of a2 in a1
4.581 * [backup-simplify]: Simplify a2 into a2
4.582 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.582 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.582 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.582 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.582 * [taylor]: Taking taylor expansion of a1 in a1
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify 1 into 1
4.582 * [backup-simplify]: Simplify (* 1 1) into 1
4.583 * [backup-simplify]: Simplify (/ 1 1) into 1
4.583 * [backup-simplify]: Simplify (+ 0 1) into 1
4.583 * [backup-simplify]: Simplify (/ 1 1) into 1
4.584 * [backup-simplify]: Simplify (sqrt 1) into 1
4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.586 * [backup-simplify]: Simplify (+ 0 0) into 0
4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.587 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.587 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.587 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.587 * [taylor]: Taking taylor expansion of 2.0 in th
4.587 * [backup-simplify]: Simplify 2.0 into 2.0
4.588 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.588 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.588 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.588 * [taylor]: Taking taylor expansion of -1 in th
4.588 * [backup-simplify]: Simplify -1 into -1
4.588 * [taylor]: Taking taylor expansion of th in th
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (/ -1 1) into -1
4.589 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.589 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.590 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.590 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.590 * [taylor]: Taking taylor expansion of a2 in th
4.590 * [backup-simplify]: Simplify a2 into a2
4.590 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.590 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.590 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.590 * [taylor]: Taking taylor expansion of a1 in th
4.590 * [backup-simplify]: Simplify a1 into a1
4.590 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.590 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.591 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.591 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.591 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.591 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.592 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.593 * [backup-simplify]: Simplify (+ 0 0) into 0
4.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.594 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.594 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.594 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.594 * [taylor]: Taking taylor expansion of 2.0 in th
4.594 * [backup-simplify]: Simplify 2.0 into 2.0
4.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.595 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.595 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.595 * [taylor]: Taking taylor expansion of -1 in th
4.595 * [backup-simplify]: Simplify -1 into -1
4.595 * [taylor]: Taking taylor expansion of th in th
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 1 into 1
4.596 * [backup-simplify]: Simplify (/ -1 1) into -1
4.596 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.596 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.596 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.596 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.596 * [taylor]: Taking taylor expansion of a2 in th
4.597 * [backup-simplify]: Simplify a2 into a2
4.597 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.597 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.597 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.597 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.597 * [taylor]: Taking taylor expansion of a1 in th
4.597 * [backup-simplify]: Simplify a1 into a1
4.597 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.597 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.597 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.598 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.598 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.598 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.599 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.599 * [backup-simplify]: Simplify (+ 0 0) into 0
4.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.601 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.601 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.601 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
4.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.601 * [taylor]: Taking taylor expansion of 2.0 in a1
4.601 * [backup-simplify]: Simplify 2.0 into 2.0
4.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.602 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.603 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.603 * [taylor]: Taking taylor expansion of -1 in a1
4.603 * [backup-simplify]: Simplify -1 into -1
4.603 * [taylor]: Taking taylor expansion of th in a1
4.603 * [backup-simplify]: Simplify th into th
4.603 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.603 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.603 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.603 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.603 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.603 * [backup-simplify]: Simplify (- 0) into 0
4.604 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.604 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.604 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.604 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.604 * [taylor]: Taking taylor expansion of a2 in a1
4.604 * [backup-simplify]: Simplify a2 into a2
4.604 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.604 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.605 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.605 * [taylor]: Taking taylor expansion of a1 in a1
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 1 into 1
4.605 * [backup-simplify]: Simplify (* 1 1) into 1
4.605 * [backup-simplify]: Simplify (/ 1 1) into 1
4.606 * [backup-simplify]: Simplify (+ 0 1) into 1
4.606 * [backup-simplify]: Simplify (/ 1 1) into 1
4.607 * [backup-simplify]: Simplify (sqrt 1) into 1
4.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.608 * [backup-simplify]: Simplify (+ 0 0) into 0
4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.611 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ -1 th))) 1) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.611 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
4.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.611 * [taylor]: Taking taylor expansion of 2.0 in a2
4.611 * [backup-simplify]: Simplify 2.0 into 2.0
4.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.612 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.612 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.612 * [taylor]: Taking taylor expansion of -1 in a2
4.612 * [backup-simplify]: Simplify -1 into -1
4.612 * [taylor]: Taking taylor expansion of th in a2
4.612 * [backup-simplify]: Simplify th into th
4.612 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.612 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.612 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.612 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.612 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.613 * [backup-simplify]: Simplify (- 0) into 0
4.613 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.613 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.614 * [backup-simplify]: Simplify (+ 0) into 0
4.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.614 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.616 * [backup-simplify]: Simplify (- 0) into 0
4.616 * [backup-simplify]: Simplify (+ 0 0) into 0
4.617 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.619 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.619 * [taylor]: Taking taylor expansion of 0 in a1
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [taylor]: Taking taylor expansion of 0 in a2
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.624 * [backup-simplify]: Simplify (+ 0) into 0
4.625 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.625 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.627 * [backup-simplify]: Simplify (- 0) into 0
4.627 * [backup-simplify]: Simplify (+ 0 0) into 0
4.628 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.629 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 1)) into 0
4.629 * [taylor]: Taking taylor expansion of 0 in a2
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.631 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.632 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.634 * [backup-simplify]: Simplify (- 0) into 0
4.634 * [backup-simplify]: Simplify (+ 0 0) into 0
4.635 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.635 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.637 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.637 * [backup-simplify]: Simplify (+ 0 0) into 0
4.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (* 0 (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.641 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.643 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.643 * [taylor]: Taking taylor expansion of 0 in a1
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [taylor]: Taking taylor expansion of 0 in a2
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [taylor]: Taking taylor expansion of 0 in a2
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * [backup-simplify]: Simplify 0 into 0
4.643 * * * * [progress]: [ 4 / 4 ] generating series at (2)
4.644 * [backup-simplify]: Simplify (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
4.644 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
4.644 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
4.644 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.644 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.644 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.644 * [taylor]: Taking taylor expansion of a2 in th
4.644 * [backup-simplify]: Simplify a2 into a2
4.644 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.644 * [taylor]: Taking taylor expansion of a1 in th
4.644 * [backup-simplify]: Simplify a1 into a1
4.644 * [taylor]: Taking taylor expansion of (cos th) in th
4.644 * [taylor]: Taking taylor expansion of th in th
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 1 into 1
4.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.644 * [taylor]: Taking taylor expansion of 2.0 in th
4.644 * [backup-simplify]: Simplify 2.0 into 2.0
4.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.646 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.646 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.646 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.646 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.647 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
4.647 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
4.647 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.647 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.647 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.647 * [taylor]: Taking taylor expansion of a2 in a2
4.647 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify 1 into 1
4.647 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.647 * [taylor]: Taking taylor expansion of a1 in a2
4.647 * [backup-simplify]: Simplify a1 into a1
4.647 * [taylor]: Taking taylor expansion of (cos th) in a2
4.647 * [taylor]: Taking taylor expansion of th in a2
4.647 * [backup-simplify]: Simplify th into th
4.647 * [backup-simplify]: Simplify (cos th) into (cos th)
4.647 * [backup-simplify]: Simplify (sin th) into (sin th)
4.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.647 * [taylor]: Taking taylor expansion of 2.0 in a2
4.647 * [backup-simplify]: Simplify 2.0 into 2.0
4.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.649 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.649 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.649 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.649 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.649 * [backup-simplify]: Simplify (- 0) into 0
4.649 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.650 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.650 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.650 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.650 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.650 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.650 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.650 * [taylor]: Taking taylor expansion of a2 in a1
4.650 * [backup-simplify]: Simplify a2 into a2
4.650 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.650 * [taylor]: Taking taylor expansion of a1 in a1
4.650 * [backup-simplify]: Simplify 0 into 0
4.650 * [backup-simplify]: Simplify 1 into 1
4.651 * [taylor]: Taking taylor expansion of (cos th) in a1
4.651 * [taylor]: Taking taylor expansion of th in a1
4.651 * [backup-simplify]: Simplify th into th
4.651 * [backup-simplify]: Simplify (cos th) into (cos th)
4.651 * [backup-simplify]: Simplify (sin th) into (sin th)
4.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.651 * [taylor]: Taking taylor expansion of 2.0 in a1
4.651 * [backup-simplify]: Simplify 2.0 into 2.0
4.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.652 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.652 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.652 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.652 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.653 * [backup-simplify]: Simplify (- 0) into 0
4.653 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.653 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.654 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.654 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.654 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.654 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.654 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.654 * [taylor]: Taking taylor expansion of a2 in a1
4.654 * [backup-simplify]: Simplify a2 into a2
4.654 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.654 * [taylor]: Taking taylor expansion of a1 in a1
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 1 into 1
4.654 * [taylor]: Taking taylor expansion of (cos th) in a1
4.654 * [taylor]: Taking taylor expansion of th in a1
4.654 * [backup-simplify]: Simplify th into th
4.654 * [backup-simplify]: Simplify (cos th) into (cos th)
4.654 * [backup-simplify]: Simplify (sin th) into (sin th)
4.654 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.654 * [taylor]: Taking taylor expansion of 2.0 in a1
4.654 * [backup-simplify]: Simplify 2.0 into 2.0
4.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.655 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.656 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.656 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.656 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.656 * [backup-simplify]: Simplify (- 0) into 0
4.656 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.656 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.657 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.657 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
4.657 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
4.657 * [taylor]: Taking taylor expansion of (cos th) in a2
4.657 * [taylor]: Taking taylor expansion of th in a2
4.657 * [backup-simplify]: Simplify th into th
4.657 * [backup-simplify]: Simplify (cos th) into (cos th)
4.657 * [backup-simplify]: Simplify (sin th) into (sin th)
4.657 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.657 * [taylor]: Taking taylor expansion of a2 in a2
4.657 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify 1 into 1
4.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.657 * [taylor]: Taking taylor expansion of 2.0 in a2
4.657 * [backup-simplify]: Simplify 2.0 into 2.0
4.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.659 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.659 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.659 * [backup-simplify]: Simplify (- 0) into 0
4.659 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.659 * [backup-simplify]: Simplify (* 1 1) into 1
4.660 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.660 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.660 * [backup-simplify]: Simplify (+ 0) into 0
4.661 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.662 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.662 * [backup-simplify]: Simplify (- 0) into 0
4.663 * [backup-simplify]: Simplify (+ 0 0) into 0
4.663 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.663 * [backup-simplify]: Simplify (+ 0 0) into 0
4.664 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
4.665 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.665 * [taylor]: Taking taylor expansion of 0 in a2
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [taylor]: Taking taylor expansion of 0 in th
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.667 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
4.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.668 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
4.669 * [backup-simplify]: Simplify (- 0) into 0
4.669 * [backup-simplify]: Simplify (+ 0 0) into 0
4.670 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.670 * [backup-simplify]: Simplify (* 1 1) into 1
4.670 * [backup-simplify]: Simplify (+ 0 1) into 1
4.671 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
4.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.674 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
4.674 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
4.674 * [taylor]: Taking taylor expansion of (cos th) in a2
4.674 * [taylor]: Taking taylor expansion of th in a2
4.674 * [backup-simplify]: Simplify th into th
4.674 * [backup-simplify]: Simplify (cos th) into (cos th)
4.674 * [backup-simplify]: Simplify (sin th) into (sin th)
4.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.675 * [taylor]: Taking taylor expansion of 2.0 in a2
4.675 * [backup-simplify]: Simplify 2.0 into 2.0
4.675 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.676 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.676 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.676 * [backup-simplify]: Simplify (- 0) into 0
4.676 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.677 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.677 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.677 * [taylor]: Taking taylor expansion of (cos th) in th
4.677 * [taylor]: Taking taylor expansion of th in th
4.677 * [backup-simplify]: Simplify 0 into 0
4.677 * [backup-simplify]: Simplify 1 into 1
4.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.677 * [taylor]: Taking taylor expansion of 2.0 in th
4.677 * [backup-simplify]: Simplify 2.0 into 2.0
4.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.679 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.680 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.680 * [taylor]: Taking taylor expansion of 0 in th
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.680 * [taylor]: Taking taylor expansion of (cos th) in th
4.680 * [taylor]: Taking taylor expansion of th in th
4.680 * [backup-simplify]: Simplify 0 into 0
4.680 * [backup-simplify]: Simplify 1 into 1
4.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.680 * [taylor]: Taking taylor expansion of 2.0 in th
4.680 * [backup-simplify]: Simplify 2.0 into 2.0
4.681 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.682 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.683 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.683 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.685 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.688 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.688 * [backup-simplify]: Simplify (- 0) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.689 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.690 * [backup-simplify]: Simplify (+ 0 0) into 0
4.691 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
4.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.696 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.696 * [taylor]: Taking taylor expansion of 0 in a2
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [taylor]: Taking taylor expansion of 0 in th
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 0 into 0
4.697 * [backup-simplify]: Simplify (+ 0) into 0
4.697 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.698 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.699 * [backup-simplify]: Simplify (- 0) into 0
4.699 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.701 * [taylor]: Taking taylor expansion of 0 in th
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [taylor]: Taking taylor expansion of 0 in th
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.702 * [backup-simplify]: Simplify (+ 0) into 0
4.702 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.704 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.704 * [backup-simplify]: Simplify (- 0) into 0
4.704 * [backup-simplify]: Simplify (+ 0 0) into 0
4.705 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.706 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.706 * [taylor]: Taking taylor expansion of 0 in th
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify (+ 0) into 0
4.708 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.708 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
4.711 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.711 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
4.711 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.711 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.711 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.711 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.711 * [taylor]: Taking taylor expansion of th in th
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify (/ 1 1) into 1
4.712 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.712 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.712 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.712 * [taylor]: Taking taylor expansion of a2 in th
4.712 * [backup-simplify]: Simplify a2 into a2
4.712 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.712 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.712 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.712 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.712 * [taylor]: Taking taylor expansion of a1 in th
4.712 * [backup-simplify]: Simplify a1 into a1
4.712 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.713 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.713 * [taylor]: Taking taylor expansion of 2.0 in th
4.713 * [backup-simplify]: Simplify 2.0 into 2.0
4.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.714 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.714 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.715 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.715 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.715 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.715 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.715 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.715 * [taylor]: Taking taylor expansion of th in a2
4.715 * [backup-simplify]: Simplify th into th
4.715 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.716 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.716 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.716 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.716 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.716 * [taylor]: Taking taylor expansion of a2 in a2
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 1 into 1
4.716 * [backup-simplify]: Simplify (* 1 1) into 1
4.717 * [backup-simplify]: Simplify (/ 1 1) into 1
4.717 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.717 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.717 * [taylor]: Taking taylor expansion of a1 in a2
4.717 * [backup-simplify]: Simplify a1 into a1
4.717 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.717 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.717 * [taylor]: Taking taylor expansion of 2.0 in a2
4.717 * [backup-simplify]: Simplify 2.0 into 2.0
4.717 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.718 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.718 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.719 * [backup-simplify]: Simplify (- 0) into 0
4.719 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.719 * [backup-simplify]: Simplify (+ 1 0) into 1
4.719 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.720 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.720 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.720 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.720 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.720 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.720 * [taylor]: Taking taylor expansion of th in a1
4.720 * [backup-simplify]: Simplify th into th
4.720 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.720 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.720 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.720 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.720 * [taylor]: Taking taylor expansion of a2 in a1
4.720 * [backup-simplify]: Simplify a2 into a2
4.720 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.721 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.721 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.721 * [taylor]: Taking taylor expansion of a1 in a1
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (* 1 1) into 1
4.721 * [backup-simplify]: Simplify (/ 1 1) into 1
4.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.721 * [taylor]: Taking taylor expansion of 2.0 in a1
4.721 * [backup-simplify]: Simplify 2.0 into 2.0
4.722 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.723 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.723 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.723 * [backup-simplify]: Simplify (- 0) into 0
4.723 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.724 * [backup-simplify]: Simplify (+ 0 1) into 1
4.724 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.724 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.724 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.724 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.724 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.724 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.724 * [taylor]: Taking taylor expansion of th in a1
4.724 * [backup-simplify]: Simplify th into th
4.724 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.725 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.725 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.725 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.725 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.725 * [taylor]: Taking taylor expansion of a2 in a1
4.725 * [backup-simplify]: Simplify a2 into a2
4.725 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.725 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.725 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.725 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.725 * [taylor]: Taking taylor expansion of a1 in a1
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify 1 into 1
4.725 * [backup-simplify]: Simplify (* 1 1) into 1
4.726 * [backup-simplify]: Simplify (/ 1 1) into 1
4.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.726 * [taylor]: Taking taylor expansion of 2.0 in a1
4.726 * [backup-simplify]: Simplify 2.0 into 2.0
4.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.727 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.727 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.728 * [backup-simplify]: Simplify (- 0) into 0
4.728 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.728 * [backup-simplify]: Simplify (+ 0 1) into 1
4.728 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.729 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.729 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
4.729 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.729 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.729 * [taylor]: Taking taylor expansion of th in a2
4.729 * [backup-simplify]: Simplify th into th
4.729 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.729 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.729 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.729 * [taylor]: Taking taylor expansion of 2.0 in a2
4.729 * [backup-simplify]: Simplify 2.0 into 2.0
4.729 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.730 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.731 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.731 * [backup-simplify]: Simplify (- 0) into 0
4.731 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.732 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (+ 0 0) into 0
4.733 * [backup-simplify]: Simplify (+ 0) into 0
4.734 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.735 * [backup-simplify]: Simplify (- 0) into 0
4.735 * [backup-simplify]: Simplify (+ 0 0) into 0
4.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.736 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.736 * [taylor]: Taking taylor expansion of 0 in a2
4.736 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.737 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.739 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.740 * [backup-simplify]: Simplify (- 0) into 0
4.740 * [backup-simplify]: Simplify (+ 0 0) into 0
4.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
4.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.743 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
4.743 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.743 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.743 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.743 * [taylor]: Taking taylor expansion of th in a2
4.743 * [backup-simplify]: Simplify th into th
4.743 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.743 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.743 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.743 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.743 * [taylor]: Taking taylor expansion of 2.0 in a2
4.743 * [backup-simplify]: Simplify 2.0 into 2.0
4.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.744 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.744 * [taylor]: Taking taylor expansion of a2 in a2
4.744 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify 1 into 1
4.744 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.744 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.744 * [backup-simplify]: Simplify (- 0) into 0
4.744 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.744 * [backup-simplify]: Simplify (* 1 1) into 1
4.745 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.745 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.745 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.745 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.745 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.745 * [taylor]: Taking taylor expansion of th in th
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [backup-simplify]: Simplify (/ 1 1) into 1
4.746 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.746 * [taylor]: Taking taylor expansion of 2.0 in th
4.746 * [backup-simplify]: Simplify 2.0 into 2.0
4.746 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.747 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.747 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.747 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.747 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.747 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.747 * [taylor]: Taking taylor expansion of th in th
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify 1 into 1
4.747 * [backup-simplify]: Simplify (/ 1 1) into 1
4.747 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.747 * [taylor]: Taking taylor expansion of 2.0 in th
4.747 * [backup-simplify]: Simplify 2.0 into 2.0
4.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.748 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.749 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.749 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (+ 0 0) into 0
4.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.752 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.753 * [backup-simplify]: Simplify (- 0) into 0
4.753 * [backup-simplify]: Simplify (+ 0 0) into 0
4.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.757 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.758 * [taylor]: Taking taylor expansion of 0 in a2
4.758 * [backup-simplify]: Simplify 0 into 0
4.758 * [backup-simplify]: Simplify (+ 0) into 0
4.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.763 * [backup-simplify]: Simplify (- 0) into 0
4.763 * [backup-simplify]: Simplify (+ 0 0) into 0
4.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.765 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.766 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.766 * [taylor]: Taking taylor expansion of 0 in th
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [taylor]: Taking taylor expansion of 0 in th
4.766 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify (+ 0) into 0
4.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.769 * [backup-simplify]: Simplify (- 0) into 0
4.769 * [backup-simplify]: Simplify (+ 0 0) into 0
4.771 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.771 * [taylor]: Taking taylor expansion of 0 in th
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.773 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.774 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (+ 0 0) into 0
4.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.783 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.784 * [backup-simplify]: Simplify (- 0) into 0
4.785 * [backup-simplify]: Simplify (+ 0 0) into 0
4.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.791 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.791 * [taylor]: Taking taylor expansion of 0 in a2
4.791 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.795 * [backup-simplify]: Simplify (- 0) into 0
4.795 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.799 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.801 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.801 * [taylor]: Taking taylor expansion of 0 in th
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.804 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.804 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
4.804 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.804 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.804 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.804 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.804 * [taylor]: Taking taylor expansion of -1 in th
4.804 * [backup-simplify]: Simplify -1 into -1
4.804 * [taylor]: Taking taylor expansion of th in th
4.804 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.804 * [backup-simplify]: Simplify (/ -1 1) into -1
4.805 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.805 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.805 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.805 * [taylor]: Taking taylor expansion of a2 in th
4.805 * [backup-simplify]: Simplify a2 into a2
4.805 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.805 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.805 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.805 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.805 * [taylor]: Taking taylor expansion of a1 in th
4.805 * [backup-simplify]: Simplify a1 into a1
4.805 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.805 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.805 * [taylor]: Taking taylor expansion of 2.0 in th
4.805 * [backup-simplify]: Simplify 2.0 into 2.0
4.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.807 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.807 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.808 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.808 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.808 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.808 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.808 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.808 * [taylor]: Taking taylor expansion of -1 in a2
4.808 * [backup-simplify]: Simplify -1 into -1
4.808 * [taylor]: Taking taylor expansion of th in a2
4.808 * [backup-simplify]: Simplify th into th
4.808 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.808 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.808 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.809 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.809 * [taylor]: Taking taylor expansion of a2 in a2
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify 1 into 1
4.809 * [backup-simplify]: Simplify (* 1 1) into 1
4.809 * [backup-simplify]: Simplify (/ 1 1) into 1
4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.809 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.809 * [taylor]: Taking taylor expansion of a1 in a2
4.810 * [backup-simplify]: Simplify a1 into a1
4.810 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.810 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.810 * [taylor]: Taking taylor expansion of 2.0 in a2
4.810 * [backup-simplify]: Simplify 2.0 into 2.0
4.810 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.811 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.811 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.812 * [backup-simplify]: Simplify (- 0) into 0
4.812 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.812 * [backup-simplify]: Simplify (+ 1 0) into 1
4.812 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.813 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.813 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.813 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.813 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.813 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.813 * [taylor]: Taking taylor expansion of -1 in a1
4.813 * [backup-simplify]: Simplify -1 into -1
4.813 * [taylor]: Taking taylor expansion of th in a1
4.813 * [backup-simplify]: Simplify th into th
4.813 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.813 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.813 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.813 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.813 * [taylor]: Taking taylor expansion of a2 in a1
4.813 * [backup-simplify]: Simplify a2 into a2
4.813 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.813 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.813 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.813 * [taylor]: Taking taylor expansion of a1 in a1
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [backup-simplify]: Simplify (* 1 1) into 1
4.814 * [backup-simplify]: Simplify (/ 1 1) into 1
4.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.814 * [taylor]: Taking taylor expansion of 2.0 in a1
4.814 * [backup-simplify]: Simplify 2.0 into 2.0
4.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.816 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.816 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.816 * [backup-simplify]: Simplify (- 0) into 0
4.816 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.817 * [backup-simplify]: Simplify (+ 0 1) into 1
4.817 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.817 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.817 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.817 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.817 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.817 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.817 * [taylor]: Taking taylor expansion of -1 in a1
4.817 * [backup-simplify]: Simplify -1 into -1
4.817 * [taylor]: Taking taylor expansion of th in a1
4.817 * [backup-simplify]: Simplify th into th
4.817 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.817 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.818 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.818 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.818 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.818 * [taylor]: Taking taylor expansion of a2 in a1
4.818 * [backup-simplify]: Simplify a2 into a2
4.818 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.818 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.818 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.818 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.818 * [taylor]: Taking taylor expansion of a1 in a1
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify 1 into 1
4.818 * [backup-simplify]: Simplify (* 1 1) into 1
4.819 * [backup-simplify]: Simplify (/ 1 1) into 1
4.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.819 * [taylor]: Taking taylor expansion of 2.0 in a1
4.819 * [backup-simplify]: Simplify 2.0 into 2.0
4.819 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.820 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.820 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.821 * [backup-simplify]: Simplify (- 0) into 0
4.821 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.821 * [backup-simplify]: Simplify (+ 0 1) into 1
4.821 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.822 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.822 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
4.822 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.822 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.822 * [taylor]: Taking taylor expansion of -1 in a2
4.822 * [backup-simplify]: Simplify -1 into -1
4.822 * [taylor]: Taking taylor expansion of th in a2
4.822 * [backup-simplify]: Simplify th into th
4.822 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.822 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.822 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.822 * [taylor]: Taking taylor expansion of 2.0 in a2
4.822 * [backup-simplify]: Simplify 2.0 into 2.0
4.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.824 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.824 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.824 * [backup-simplify]: Simplify (- 0) into 0
4.824 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.825 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.826 * [backup-simplify]: Simplify (+ 0 0) into 0
4.827 * [backup-simplify]: Simplify (+ 0) into 0
4.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.827 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.829 * [backup-simplify]: Simplify (- 0) into 0
4.829 * [backup-simplify]: Simplify (+ 0 0) into 0
4.830 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.831 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.831 * [taylor]: Taking taylor expansion of 0 in a2
4.831 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.833 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.835 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.835 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.836 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.837 * [backup-simplify]: Simplify (- 0) into 0
4.837 * [backup-simplify]: Simplify (+ 0 0) into 0
4.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
4.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.842 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
4.842 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.842 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.842 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.842 * [taylor]: Taking taylor expansion of -1 in a2
4.842 * [backup-simplify]: Simplify -1 into -1
4.842 * [taylor]: Taking taylor expansion of th in a2
4.842 * [backup-simplify]: Simplify th into th
4.842 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.842 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.842 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.842 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.842 * [taylor]: Taking taylor expansion of 2.0 in a2
4.842 * [backup-simplify]: Simplify 2.0 into 2.0
4.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.843 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.843 * [taylor]: Taking taylor expansion of a2 in a2
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.843 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.844 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.844 * [backup-simplify]: Simplify (- 0) into 0
4.844 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.844 * [backup-simplify]: Simplify (* 1 1) into 1
4.845 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.846 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.846 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.846 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.846 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.846 * [taylor]: Taking taylor expansion of -1 in th
4.846 * [backup-simplify]: Simplify -1 into -1
4.846 * [taylor]: Taking taylor expansion of th in th
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.846 * [backup-simplify]: Simplify (/ -1 1) into -1
4.847 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.847 * [taylor]: Taking taylor expansion of 2.0 in th
4.847 * [backup-simplify]: Simplify 2.0 into 2.0
4.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.848 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.849 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.849 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.849 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.849 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.849 * [taylor]: Taking taylor expansion of -1 in th
4.849 * [backup-simplify]: Simplify -1 into -1
4.849 * [taylor]: Taking taylor expansion of th in th
4.849 * [backup-simplify]: Simplify 0 into 0
4.849 * [backup-simplify]: Simplify 1 into 1
4.850 * [backup-simplify]: Simplify (/ -1 1) into -1
4.850 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.850 * [taylor]: Taking taylor expansion of 2.0 in th
4.850 * [backup-simplify]: Simplify 2.0 into 2.0
4.850 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.851 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.852 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.852 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.855 * [backup-simplify]: Simplify (+ 0 0) into 0
4.855 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.859 * [backup-simplify]: Simplify (- 0) into 0
4.860 * [backup-simplify]: Simplify (+ 0 0) into 0
4.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.865 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.865 * [taylor]: Taking taylor expansion of 0 in a2
4.865 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify (+ 0) into 0
4.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.866 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.868 * [backup-simplify]: Simplify (- 0) into 0
4.868 * [backup-simplify]: Simplify (+ 0 0) into 0
4.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.870 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.871 * [taylor]: Taking taylor expansion of 0 in th
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [taylor]: Taking taylor expansion of 0 in th
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify (+ 0) into 0
4.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.872 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.874 * [backup-simplify]: Simplify (- 0) into 0
4.875 * [backup-simplify]: Simplify (+ 0 0) into 0
4.876 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.876 * [taylor]: Taking taylor expansion of 0 in th
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.879 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.882 * [backup-simplify]: Simplify (+ 0 0) into 0
4.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.884 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.884 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.885 * [backup-simplify]: Simplify (- 0) into 0
4.885 * [backup-simplify]: Simplify (+ 0 0) into 0
4.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.889 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.889 * [taylor]: Taking taylor expansion of 0 in a2
4.889 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.891 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.892 * [backup-simplify]: Simplify (- 0) into 0
4.892 * [backup-simplify]: Simplify (+ 0 0) into 0
4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.894 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.895 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.895 * [taylor]: Taking taylor expansion of 0 in th
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.897 * * * [progress]: simplifying candidates
4.937 * [simplify]: Simplifying:
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (- (- (log (sqrt 2.0)) (log (cos th))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))
  (- (log (/ (sqrt 2.0) (cos th))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt 1))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) 1)
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt 1))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) 1)
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1)
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) 1)
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt 1))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1)
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt 1)))
  (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) 1) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 1) 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 1) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))))
  a2
  a1
  (* -1 a1)
  a2
  a1
  (* -1 a1)
  0
  0
  0
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
5.028 * * [simplify]: iteration 0: 1170 enodes
6.495 * * [simplify]: iteration 1: 3459 enodes
7.784 * * [simplify]: iteration complete: 5001 enodes
7.785 * * [simplify]: Extracting #0: cost 811 inf + 0
7.790 * * [simplify]: Extracting #1: cost 1938 inf + 46
7.801 * * [simplify]: Extracting #2: cost 2047 inf + 743
7.814 * * [simplify]: Extracting #3: cost 2042 inf + 10358
7.855 * * [simplify]: Extracting #4: cost 1507 inf + 152018
7.984 * * [simplify]: Extracting #5: cost 334 inf + 667187
8.145 * * [simplify]: Extracting #6: cost 1 inf + 835551
8.371 * * [simplify]: Extracting #7: cost 0 inf + 835575
8.578 * [simplify]: Simplified to:
  (log (sqrt (+ (* a2 a2) (* a1 a1))))
  (exp (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))
  (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (sqrt (+ (* a2 a2) (* a1 a1))))
  (exp (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))
  (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (log (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (log (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (exp (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (/ (* (/ 2.0 (* (cos th) (cos th))) (/ (sqrt 2.0) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (* (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ 1 (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ 1 (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (/ 1 (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ 1 (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  1
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  1
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ 1 (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ 1 (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (/ 1 (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ 1 (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  1
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  1
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (/ 1 (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ 1 (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  1
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  1
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt 2.0) (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (exp (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ 2.0 (* (cos th) (cos th))) (/ (sqrt 2.0) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (* (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))) (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))))
  (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ 1 (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (sqrt (cos th))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (sqrt (cos th))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
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  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (fabs (cbrt 2.0))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ 1 (sqrt (sqrt 2.0)))
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  (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (- (* a1 a1) (* a2 a2))))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))) (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))))
  (/ (* (/ (sqrt 2.0) (cos th)) (sqrt (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  a2
  a1
  (- a1)
  a2
  a1
  (- a1)
  0
  0
  0
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
8.915 * * * [progress]: adding candidates to table
15.714 * * [progress]: iteration 3 / 4
15.714 * * * [progress]: picking best candidate
15.766 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))>
15.766 * * * [progress]: localizing error
15.818 * * * [progress]: generating rewritten candidates
15.818 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
15.837 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
15.925 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
15.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
16.112 * * * [progress]: generating series expansions
16.112 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
16.113 * [backup-simplify]: Simplify (/ (cos th) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
16.114 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
16.114 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
16.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
16.114 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
16.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.114 * [taylor]: Taking taylor expansion of 2.0 in th
16.114 * [backup-simplify]: Simplify 2.0 into 2.0
16.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.115 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.116 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.118 * [taylor]: Taking taylor expansion of (cos th) in th
16.118 * [taylor]: Taking taylor expansion of th in th
16.119 * [backup-simplify]: Simplify 0 into 0
16.119 * [backup-simplify]: Simplify 1 into 1
16.119 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
16.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
16.119 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
16.119 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.119 * [taylor]: Taking taylor expansion of 2.0 in th
16.119 * [backup-simplify]: Simplify 2.0 into 2.0
16.119 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.121 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.122 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.125 * [taylor]: Taking taylor expansion of (cos th) in th
16.125 * [taylor]: Taking taylor expansion of th in th
16.125 * [backup-simplify]: Simplify 0 into 0
16.125 * [backup-simplify]: Simplify 1 into 1
16.127 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
16.129 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.129 * [backup-simplify]: Simplify (+ 0) into 0
16.131 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
16.131 * [backup-simplify]: Simplify 0 into 0
16.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
16.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.140 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
16.144 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
16.146 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.152 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
16.152 * [backup-simplify]: Simplify 0 into 0
16.154 * [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
16.155 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.156 * [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
16.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.160 * [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))))
16.161 * [backup-simplify]: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
16.166 * [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 (* (sqrt (/ 1 (sqrt 2.0))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow th 2))))
16.167 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0))))
16.167 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in (th) around 0
16.167 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th
16.167 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.167 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.167 * [taylor]: Taking taylor expansion of th in th
16.167 * [backup-simplify]: Simplify 0 into 0
16.167 * [backup-simplify]: Simplify 1 into 1
16.167 * [backup-simplify]: Simplify (/ 1 1) into 1
16.167 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
16.167 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
16.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.167 * [taylor]: Taking taylor expansion of 2.0 in th
16.167 * [backup-simplify]: Simplify 2.0 into 2.0
16.167 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.168 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.169 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.170 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th
16.171 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.171 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.171 * [taylor]: Taking taylor expansion of th in th
16.171 * [backup-simplify]: Simplify 0 into 0
16.171 * [backup-simplify]: Simplify 1 into 1
16.171 * [backup-simplify]: Simplify (/ 1 1) into 1
16.171 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
16.171 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
16.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.171 * [taylor]: Taking taylor expansion of 2.0 in th
16.171 * [backup-simplify]: Simplify 2.0 into 2.0
16.171 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.172 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.173 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.175 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0))))
16.176 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0))))
16.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.177 * [backup-simplify]: Simplify 0 into 0
16.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))) into 0
16.180 * [backup-simplify]: Simplify 0 into 0
16.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))))) into 0
16.191 * [backup-simplify]: Simplify 0 into 0
16.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.193 * [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
16.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))))) into 0
16.195 * [backup-simplify]: Simplify 0 into 0
16.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.196 * [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
16.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))))))) into 0
16.198 * [backup-simplify]: Simplify 0 into 0
16.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.200 * [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
16.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))))))) into 0
16.202 * [backup-simplify]: Simplify 0 into 0
16.203 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
16.204 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
16.204 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
16.204 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
16.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
16.204 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
16.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.204 * [taylor]: Taking taylor expansion of 2.0 in th
16.204 * [backup-simplify]: Simplify 2.0 into 2.0
16.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.205 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.206 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.207 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.207 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.207 * [taylor]: Taking taylor expansion of -1 in th
16.207 * [backup-simplify]: Simplify -1 into -1
16.207 * [taylor]: Taking taylor expansion of th in th
16.208 * [backup-simplify]: Simplify 0 into 0
16.208 * [backup-simplify]: Simplify 1 into 1
16.208 * [backup-simplify]: Simplify (/ -1 1) into -1
16.208 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.208 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
16.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
16.208 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
16.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.208 * [taylor]: Taking taylor expansion of 2.0 in th
16.208 * [backup-simplify]: Simplify 2.0 into 2.0
16.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.209 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.210 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
16.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.211 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.212 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.212 * [taylor]: Taking taylor expansion of -1 in th
16.212 * [backup-simplify]: Simplify -1 into -1
16.212 * [taylor]: Taking taylor expansion of th in th
16.212 * [backup-simplify]: Simplify 0 into 0
16.212 * [backup-simplify]: Simplify 1 into 1
16.212 * [backup-simplify]: Simplify (/ -1 1) into -1
16.212 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.213 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
16.214 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
16.215 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
16.215 * [backup-simplify]: Simplify 0 into 0
16.215 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.217 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.218 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
16.218 * [backup-simplify]: Simplify 0 into 0
16.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.221 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
16.221 * [backup-simplify]: Simplify 0 into 0
16.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.223 * [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
16.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.225 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
16.225 * [backup-simplify]: Simplify 0 into 0
16.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.227 * [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
16.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.230 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))))) into 0
16.230 * [backup-simplify]: Simplify 0 into 0
16.231 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.231 * [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
16.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
16.234 * [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
16.234 * [backup-simplify]: Simplify 0 into 0
16.235 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
16.235 * * * * [progress]: [ 2 / 4 ] generating series at (2)
16.236 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
16.237 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
16.237 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
16.237 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
16.237 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
16.237 * [taylor]: Taking taylor expansion of (pow a2 2) in th
16.237 * [taylor]: Taking taylor expansion of a2 in th
16.237 * [backup-simplify]: Simplify a2 into a2
16.237 * [taylor]: Taking taylor expansion of (pow a1 2) in th
16.237 * [taylor]: Taking taylor expansion of a1 in th
16.237 * [backup-simplify]: Simplify a1 into a1
16.237 * [taylor]: Taking taylor expansion of (cos th) in th
16.237 * [taylor]: Taking taylor expansion of th in th
16.237 * [backup-simplify]: Simplify 0 into 0
16.237 * [backup-simplify]: Simplify 1 into 1
16.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.237 * [taylor]: Taking taylor expansion of 2.0 in th
16.237 * [backup-simplify]: Simplify 2.0 into 2.0
16.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.238 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.238 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.238 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
16.238 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
16.238 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
16.238 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
16.238 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
16.238 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.238 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.238 * [taylor]: Taking taylor expansion of a2 in a2
16.238 * [backup-simplify]: Simplify 0 into 0
16.238 * [backup-simplify]: Simplify 1 into 1
16.239 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.239 * [taylor]: Taking taylor expansion of a1 in a2
16.239 * [backup-simplify]: Simplify a1 into a1
16.239 * [taylor]: Taking taylor expansion of (cos th) in a2
16.239 * [taylor]: Taking taylor expansion of th in a2
16.239 * [backup-simplify]: Simplify th into th
16.239 * [backup-simplify]: Simplify (cos th) into (cos th)
16.239 * [backup-simplify]: Simplify (sin th) into (sin th)
16.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.239 * [taylor]: Taking taylor expansion of 2.0 in a2
16.239 * [backup-simplify]: Simplify 2.0 into 2.0
16.239 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.239 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.240 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.240 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.240 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.240 * [backup-simplify]: Simplify (- 0) into 0
16.240 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.240 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
16.240 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
16.240 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
16.240 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
16.240 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.241 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.241 * [taylor]: Taking taylor expansion of a2 in a1
16.241 * [backup-simplify]: Simplify a2 into a2
16.241 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.241 * [taylor]: Taking taylor expansion of a1 in a1
16.241 * [backup-simplify]: Simplify 0 into 0
16.241 * [backup-simplify]: Simplify 1 into 1
16.241 * [taylor]: Taking taylor expansion of (cos th) in a1
16.241 * [taylor]: Taking taylor expansion of th in a1
16.241 * [backup-simplify]: Simplify th into th
16.241 * [backup-simplify]: Simplify (cos th) into (cos th)
16.241 * [backup-simplify]: Simplify (sin th) into (sin th)
16.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.241 * [taylor]: Taking taylor expansion of 2.0 in a1
16.241 * [backup-simplify]: Simplify 2.0 into 2.0
16.241 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.241 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.242 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.242 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.242 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.242 * [backup-simplify]: Simplify (- 0) into 0
16.242 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.242 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
16.242 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
16.243 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
16.243 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
16.243 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.243 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.243 * [taylor]: Taking taylor expansion of a2 in a1
16.243 * [backup-simplify]: Simplify a2 into a2
16.243 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.243 * [taylor]: Taking taylor expansion of a1 in a1
16.243 * [backup-simplify]: Simplify 0 into 0
16.243 * [backup-simplify]: Simplify 1 into 1
16.243 * [taylor]: Taking taylor expansion of (cos th) in a1
16.243 * [taylor]: Taking taylor expansion of th in a1
16.243 * [backup-simplify]: Simplify th into th
16.243 * [backup-simplify]: Simplify (cos th) into (cos th)
16.243 * [backup-simplify]: Simplify (sin th) into (sin th)
16.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.243 * [taylor]: Taking taylor expansion of 2.0 in a1
16.243 * [backup-simplify]: Simplify 2.0 into 2.0
16.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.244 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.244 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.244 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.244 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.244 * [backup-simplify]: Simplify (- 0) into 0
16.244 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.244 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
16.245 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
16.245 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
16.245 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
16.245 * [taylor]: Taking taylor expansion of (cos th) in a2
16.245 * [taylor]: Taking taylor expansion of th in a2
16.245 * [backup-simplify]: Simplify th into th
16.245 * [backup-simplify]: Simplify (cos th) into (cos th)
16.245 * [backup-simplify]: Simplify (sin th) into (sin th)
16.245 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.245 * [taylor]: Taking taylor expansion of a2 in a2
16.245 * [backup-simplify]: Simplify 0 into 0
16.245 * [backup-simplify]: Simplify 1 into 1
16.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.245 * [taylor]: Taking taylor expansion of 2.0 in a2
16.245 * [backup-simplify]: Simplify 2.0 into 2.0
16.245 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.246 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.246 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.246 * [backup-simplify]: Simplify (- 0) into 0
16.246 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.246 * [backup-simplify]: Simplify (* 1 1) into 1
16.246 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.247 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
16.247 * [backup-simplify]: Simplify (+ 0) into 0
16.247 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.248 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
16.248 * [backup-simplify]: Simplify (- 0) into 0
16.249 * [backup-simplify]: Simplify (+ 0 0) into 0
16.249 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.249 * [backup-simplify]: Simplify (+ 0 0) into 0
16.249 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
16.250 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.250 * [taylor]: Taking taylor expansion of 0 in a2
16.250 * [backup-simplify]: Simplify 0 into 0
16.250 * [taylor]: Taking taylor expansion of 0 in th
16.250 * [backup-simplify]: Simplify 0 into 0
16.250 * [backup-simplify]: Simplify 0 into 0
16.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.251 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
16.252 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.252 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
16.252 * [backup-simplify]: Simplify (- 0) into 0
16.253 * [backup-simplify]: Simplify (+ 0 0) into 0
16.253 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.253 * [backup-simplify]: Simplify (* 1 1) into 1
16.253 * [backup-simplify]: Simplify (+ 0 1) into 1
16.254 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
16.254 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.256 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
16.256 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
16.256 * [taylor]: Taking taylor expansion of (cos th) in a2
16.256 * [taylor]: Taking taylor expansion of th in a2
16.256 * [backup-simplify]: Simplify th into th
16.256 * [backup-simplify]: Simplify (cos th) into (cos th)
16.256 * [backup-simplify]: Simplify (sin th) into (sin th)
16.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.256 * [taylor]: Taking taylor expansion of 2.0 in a2
16.256 * [backup-simplify]: Simplify 2.0 into 2.0
16.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.257 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.257 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.257 * [backup-simplify]: Simplify (- 0) into 0
16.257 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.257 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
16.257 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
16.257 * [taylor]: Taking taylor expansion of (cos th) in th
16.257 * [taylor]: Taking taylor expansion of th in th
16.257 * [backup-simplify]: Simplify 0 into 0
16.257 * [backup-simplify]: Simplify 1 into 1
16.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.257 * [taylor]: Taking taylor expansion of 2.0 in th
16.257 * [backup-simplify]: Simplify 2.0 into 2.0
16.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.259 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.259 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.259 * [taylor]: Taking taylor expansion of 0 in th
16.259 * [backup-simplify]: Simplify 0 into 0
16.259 * [backup-simplify]: Simplify 0 into 0
16.259 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
16.259 * [taylor]: Taking taylor expansion of (cos th) in th
16.259 * [taylor]: Taking taylor expansion of th in th
16.259 * [backup-simplify]: Simplify 0 into 0
16.259 * [backup-simplify]: Simplify 1 into 1
16.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.259 * [taylor]: Taking taylor expansion of 2.0 in th
16.259 * [backup-simplify]: Simplify 2.0 into 2.0
16.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.261 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.261 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.261 * [backup-simplify]: Simplify 0 into 0
16.262 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.262 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.264 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.264 * [backup-simplify]: Simplify (- 0) into 0
16.264 * [backup-simplify]: Simplify (+ 0 0) into 0
16.265 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
16.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.265 * [backup-simplify]: Simplify (+ 0 0) into 0
16.266 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
16.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.269 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.269 * [taylor]: Taking taylor expansion of 0 in a2
16.269 * [backup-simplify]: Simplify 0 into 0
16.269 * [taylor]: Taking taylor expansion of 0 in th
16.269 * [backup-simplify]: Simplify 0 into 0
16.269 * [backup-simplify]: Simplify 0 into 0
16.269 * [backup-simplify]: Simplify (+ 0) into 0
16.269 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.270 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
16.270 * [backup-simplify]: Simplify (- 0) into 0
16.271 * [backup-simplify]: Simplify (+ 0 0) into 0
16.271 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.272 * [taylor]: Taking taylor expansion of 0 in th
16.272 * [backup-simplify]: Simplify 0 into 0
16.272 * [backup-simplify]: Simplify 0 into 0
16.272 * [taylor]: Taking taylor expansion of 0 in th
16.272 * [backup-simplify]: Simplify 0 into 0
16.272 * [backup-simplify]: Simplify 0 into 0
16.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.272 * [backup-simplify]: Simplify (+ 0) into 0
16.273 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.273 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
16.274 * [backup-simplify]: Simplify (- 0) into 0
16.274 * [backup-simplify]: Simplify (+ 0 0) into 0
16.274 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.275 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.275 * [taylor]: Taking taylor expansion of 0 in th
16.275 * [backup-simplify]: Simplify 0 into 0
16.275 * [backup-simplify]: Simplify 0 into 0
16.275 * [backup-simplify]: Simplify (+ 0) into 0
16.280 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.280 * [backup-simplify]: Simplify 0 into 0
16.282 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
16.283 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (/ (sqrt (sqrt 2.0)) (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
16.283 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
16.283 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
16.283 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
16.283 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.283 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.283 * [taylor]: Taking taylor expansion of th in th
16.283 * [backup-simplify]: Simplify 0 into 0
16.283 * [backup-simplify]: Simplify 1 into 1
16.284 * [backup-simplify]: Simplify (/ 1 1) into 1
16.284 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
16.284 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
16.284 * [taylor]: Taking taylor expansion of (pow a2 2) in th
16.284 * [taylor]: Taking taylor expansion of a2 in th
16.284 * [backup-simplify]: Simplify a2 into a2
16.284 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.284 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.284 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
16.284 * [taylor]: Taking taylor expansion of (pow a1 2) in th
16.284 * [taylor]: Taking taylor expansion of a1 in th
16.284 * [backup-simplify]: Simplify a1 into a1
16.284 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.285 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.285 * [taylor]: Taking taylor expansion of 2.0 in th
16.285 * [backup-simplify]: Simplify 2.0 into 2.0
16.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.286 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
16.287 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
16.287 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
16.287 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
16.287 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.288 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
16.288 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
16.288 * [taylor]: Taking taylor expansion of th in a2
16.288 * [backup-simplify]: Simplify th into th
16.288 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.288 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.288 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.288 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.288 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.288 * [taylor]: Taking taylor expansion of a2 in a2
16.288 * [backup-simplify]: Simplify 0 into 0
16.288 * [backup-simplify]: Simplify 1 into 1
16.288 * [backup-simplify]: Simplify (* 1 1) into 1
16.289 * [backup-simplify]: Simplify (/ 1 1) into 1
16.289 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.289 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.289 * [taylor]: Taking taylor expansion of a1 in a2
16.289 * [backup-simplify]: Simplify a1 into a1
16.289 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.289 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.289 * [taylor]: Taking taylor expansion of 2.0 in a2
16.289 * [backup-simplify]: Simplify 2.0 into 2.0
16.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.291 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.291 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.291 * [backup-simplify]: Simplify (- 0) into 0
16.291 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.292 * [backup-simplify]: Simplify (+ 1 0) into 1
16.292 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.292 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.292 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
16.292 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.292 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
16.293 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
16.293 * [taylor]: Taking taylor expansion of th in a1
16.293 * [backup-simplify]: Simplify th into th
16.293 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.293 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.293 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.293 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.293 * [taylor]: Taking taylor expansion of a2 in a1
16.293 * [backup-simplify]: Simplify a2 into a2
16.293 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.293 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.293 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.293 * [taylor]: Taking taylor expansion of a1 in a1
16.293 * [backup-simplify]: Simplify 0 into 0
16.293 * [backup-simplify]: Simplify 1 into 1
16.294 * [backup-simplify]: Simplify (* 1 1) into 1
16.294 * [backup-simplify]: Simplify (/ 1 1) into 1
16.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.294 * [taylor]: Taking taylor expansion of 2.0 in a1
16.294 * [backup-simplify]: Simplify 2.0 into 2.0
16.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.296 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.296 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.296 * [backup-simplify]: Simplify (- 0) into 0
16.296 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.297 * [backup-simplify]: Simplify (+ 0 1) into 1
16.297 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.297 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.297 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
16.297 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.297 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
16.297 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
16.297 * [taylor]: Taking taylor expansion of th in a1
16.297 * [backup-simplify]: Simplify th into th
16.298 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.298 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.298 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.298 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.298 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.298 * [taylor]: Taking taylor expansion of a2 in a1
16.298 * [backup-simplify]: Simplify a2 into a2
16.298 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.298 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.298 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.299 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.299 * [taylor]: Taking taylor expansion of a1 in a1
16.299 * [backup-simplify]: Simplify 0 into 0
16.299 * [backup-simplify]: Simplify 1 into 1
16.299 * [backup-simplify]: Simplify (* 1 1) into 1
16.300 * [backup-simplify]: Simplify (/ 1 1) into 1
16.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.300 * [taylor]: Taking taylor expansion of 2.0 in a1
16.300 * [backup-simplify]: Simplify 2.0 into 2.0
16.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.301 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.301 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.302 * [backup-simplify]: Simplify (- 0) into 0
16.302 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.302 * [backup-simplify]: Simplify (+ 0 1) into 1
16.303 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.303 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.303 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
16.303 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
16.303 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
16.303 * [taylor]: Taking taylor expansion of th in a2
16.303 * [backup-simplify]: Simplify th into th
16.303 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.303 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.304 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.304 * [taylor]: Taking taylor expansion of 2.0 in a2
16.304 * [backup-simplify]: Simplify 2.0 into 2.0
16.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.305 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.305 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.305 * [backup-simplify]: Simplify (- 0) into 0
16.306 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.306 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.308 * [backup-simplify]: Simplify (+ 0 0) into 0
16.308 * [backup-simplify]: Simplify (+ 0) into 0
16.309 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.310 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
16.311 * [backup-simplify]: Simplify (- 0) into 0
16.311 * [backup-simplify]: Simplify (+ 0 0) into 0
16.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.313 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.313 * [taylor]: Taking taylor expansion of 0 in a2
16.313 * [backup-simplify]: Simplify 0 into 0
16.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.316 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
16.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.318 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.319 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.319 * [backup-simplify]: Simplify (- 0) into 0
16.320 * [backup-simplify]: Simplify (+ 0 0) into 0
16.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
16.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.324 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
16.324 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
16.324 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
16.324 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
16.324 * [taylor]: Taking taylor expansion of th in a2
16.324 * [backup-simplify]: Simplify th into th
16.324 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.324 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.324 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
16.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.324 * [taylor]: Taking taylor expansion of 2.0 in a2
16.324 * [backup-simplify]: Simplify 2.0 into 2.0
16.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.325 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.325 * [taylor]: Taking taylor expansion of a2 in a2
16.325 * [backup-simplify]: Simplify 0 into 0
16.325 * [backup-simplify]: Simplify 1 into 1
16.325 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.325 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.326 * [backup-simplify]: Simplify (- 0) into 0
16.326 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.326 * [backup-simplify]: Simplify (* 1 1) into 1
16.326 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
16.327 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.327 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
16.327 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.327 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.327 * [taylor]: Taking taylor expansion of th in th
16.327 * [backup-simplify]: Simplify 0 into 0
16.327 * [backup-simplify]: Simplify 1 into 1
16.327 * [backup-simplify]: Simplify (/ 1 1) into 1
16.327 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.327 * [taylor]: Taking taylor expansion of 2.0 in th
16.327 * [backup-simplify]: Simplify 2.0 into 2.0
16.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.328 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.328 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.329 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
16.329 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.329 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.329 * [taylor]: Taking taylor expansion of th in th
16.329 * [backup-simplify]: Simplify 0 into 0
16.329 * [backup-simplify]: Simplify 1 into 1
16.329 * [backup-simplify]: Simplify (/ 1 1) into 1
16.329 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.329 * [taylor]: Taking taylor expansion of 2.0 in th
16.329 * [backup-simplify]: Simplify 2.0 into 2.0
16.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.330 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.330 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.330 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
16.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.332 * [backup-simplify]: Simplify (+ 0 0) into 0
16.332 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.335 * [backup-simplify]: Simplify (- 0) into 0
16.335 * [backup-simplify]: Simplify (+ 0 0) into 0
16.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
16.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.339 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
16.339 * [taylor]: Taking taylor expansion of 0 in a2
16.339 * [backup-simplify]: Simplify 0 into 0
16.339 * [backup-simplify]: Simplify (+ 0) into 0
16.339 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
16.340 * [backup-simplify]: Simplify (- 0) into 0
16.341 * [backup-simplify]: Simplify (+ 0 0) into 0
16.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
16.342 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.343 * [taylor]: Taking taylor expansion of 0 in th
16.343 * [backup-simplify]: Simplify 0 into 0
16.343 * [backup-simplify]: Simplify 0 into 0
16.343 * [taylor]: Taking taylor expansion of 0 in th
16.343 * [backup-simplify]: Simplify 0 into 0
16.343 * [backup-simplify]: Simplify 0 into 0
16.343 * [backup-simplify]: Simplify (+ 0) into 0
16.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
16.344 * [backup-simplify]: Simplify (- 0) into 0
16.345 * [backup-simplify]: Simplify (+ 0 0) into 0
16.345 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.345 * [taylor]: Taking taylor expansion of 0 in th
16.346 * [backup-simplify]: Simplify 0 into 0
16.346 * [backup-simplify]: Simplify 0 into 0
16.347 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.347 * [backup-simplify]: Simplify 0 into 0
16.348 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.348 * [backup-simplify]: Simplify 0 into 0
16.348 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
16.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.350 * [backup-simplify]: Simplify (+ 0 0) into 0
16.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
16.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.353 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.353 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
16.354 * [backup-simplify]: Simplify (- 0) into 0
16.354 * [backup-simplify]: Simplify (+ 0 0) into 0
16.355 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
16.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.358 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.358 * [taylor]: Taking taylor expansion of 0 in a2
16.358 * [backup-simplify]: Simplify 0 into 0
16.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.360 * [backup-simplify]: Simplify (- 0) into 0
16.360 * [backup-simplify]: Simplify (+ 0 0) into 0
16.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
16.364 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.364 * [taylor]: Taking taylor expansion of 0 in th
16.364 * [backup-simplify]: Simplify 0 into 0
16.364 * [backup-simplify]: Simplify 0 into 0
16.365 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
16.366 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (/ (sqrt (sqrt 2.0)) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
16.366 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
16.366 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
16.366 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
16.366 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.366 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.366 * [taylor]: Taking taylor expansion of -1 in th
16.366 * [backup-simplify]: Simplify -1 into -1
16.366 * [taylor]: Taking taylor expansion of th in th
16.366 * [backup-simplify]: Simplify 0 into 0
16.366 * [backup-simplify]: Simplify 1 into 1
16.366 * [backup-simplify]: Simplify (/ -1 1) into -1
16.366 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
16.366 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
16.367 * [taylor]: Taking taylor expansion of (pow a2 2) in th
16.367 * [taylor]: Taking taylor expansion of a2 in th
16.367 * [backup-simplify]: Simplify a2 into a2
16.367 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.367 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.367 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
16.367 * [taylor]: Taking taylor expansion of (pow a1 2) in th
16.367 * [taylor]: Taking taylor expansion of a1 in th
16.367 * [backup-simplify]: Simplify a1 into a1
16.367 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.367 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.367 * [taylor]: Taking taylor expansion of 2.0 in th
16.367 * [backup-simplify]: Simplify 2.0 into 2.0
16.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.368 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
16.368 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
16.369 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
16.369 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
16.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.369 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
16.369 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
16.369 * [taylor]: Taking taylor expansion of -1 in a2
16.369 * [backup-simplify]: Simplify -1 into -1
16.369 * [taylor]: Taking taylor expansion of th in a2
16.369 * [backup-simplify]: Simplify th into th
16.369 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.369 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.369 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.369 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.369 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.369 * [taylor]: Taking taylor expansion of a2 in a2
16.369 * [backup-simplify]: Simplify 0 into 0
16.369 * [backup-simplify]: Simplify 1 into 1
16.369 * [backup-simplify]: Simplify (* 1 1) into 1
16.369 * [backup-simplify]: Simplify (/ 1 1) into 1
16.369 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.369 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.369 * [taylor]: Taking taylor expansion of a1 in a2
16.370 * [backup-simplify]: Simplify a1 into a1
16.370 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.370 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.370 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.370 * [taylor]: Taking taylor expansion of 2.0 in a2
16.370 * [backup-simplify]: Simplify 2.0 into 2.0
16.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.370 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.371 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.371 * [backup-simplify]: Simplify (- 0) into 0
16.371 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.371 * [backup-simplify]: Simplify (+ 1 0) into 1
16.371 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.371 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.371 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
16.372 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.372 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
16.372 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
16.372 * [taylor]: Taking taylor expansion of -1 in a1
16.372 * [backup-simplify]: Simplify -1 into -1
16.372 * [taylor]: Taking taylor expansion of th in a1
16.372 * [backup-simplify]: Simplify th into th
16.372 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.372 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.372 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.372 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.372 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.372 * [taylor]: Taking taylor expansion of a2 in a1
16.372 * [backup-simplify]: Simplify a2 into a2
16.372 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.372 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.372 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.372 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.372 * [taylor]: Taking taylor expansion of a1 in a1
16.372 * [backup-simplify]: Simplify 0 into 0
16.372 * [backup-simplify]: Simplify 1 into 1
16.372 * [backup-simplify]: Simplify (* 1 1) into 1
16.373 * [backup-simplify]: Simplify (/ 1 1) into 1
16.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.373 * [taylor]: Taking taylor expansion of 2.0 in a1
16.373 * [backup-simplify]: Simplify 2.0 into 2.0
16.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.373 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.373 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.374 * [backup-simplify]: Simplify (- 0) into 0
16.374 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.374 * [backup-simplify]: Simplify (+ 0 1) into 1
16.374 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.374 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.374 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
16.374 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.374 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
16.374 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
16.374 * [taylor]: Taking taylor expansion of -1 in a1
16.374 * [backup-simplify]: Simplify -1 into -1
16.375 * [taylor]: Taking taylor expansion of th in a1
16.375 * [backup-simplify]: Simplify th into th
16.375 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.375 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.375 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.375 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.375 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.375 * [taylor]: Taking taylor expansion of a2 in a1
16.375 * [backup-simplify]: Simplify a2 into a2
16.375 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.375 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.375 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.375 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.375 * [taylor]: Taking taylor expansion of a1 in a1
16.375 * [backup-simplify]: Simplify 0 into 0
16.375 * [backup-simplify]: Simplify 1 into 1
16.375 * [backup-simplify]: Simplify (* 1 1) into 1
16.376 * [backup-simplify]: Simplify (/ 1 1) into 1
16.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.376 * [taylor]: Taking taylor expansion of 2.0 in a1
16.376 * [backup-simplify]: Simplify 2.0 into 2.0
16.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.376 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.376 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.377 * [backup-simplify]: Simplify (- 0) into 0
16.377 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.377 * [backup-simplify]: Simplify (+ 0 1) into 1
16.377 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.378 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.378 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
16.378 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
16.378 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
16.378 * [taylor]: Taking taylor expansion of -1 in a2
16.378 * [backup-simplify]: Simplify -1 into -1
16.378 * [taylor]: Taking taylor expansion of th in a2
16.378 * [backup-simplify]: Simplify th into th
16.378 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.378 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.378 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.378 * [taylor]: Taking taylor expansion of 2.0 in a2
16.378 * [backup-simplify]: Simplify 2.0 into 2.0
16.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.379 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.379 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.379 * [backup-simplify]: Simplify (- 0) into 0
16.379 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.379 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.381 * [backup-simplify]: Simplify (+ 0 0) into 0
16.381 * [backup-simplify]: Simplify (+ 0) into 0
16.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.381 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
16.382 * [backup-simplify]: Simplify (- 0) into 0
16.383 * [backup-simplify]: Simplify (+ 0 0) into 0
16.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.384 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.384 * [taylor]: Taking taylor expansion of 0 in a2
16.384 * [backup-simplify]: Simplify 0 into 0
16.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.385 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
16.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.386 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.387 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.387 * [backup-simplify]: Simplify (- 0) into 0
16.388 * [backup-simplify]: Simplify (+ 0 0) into 0
16.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
16.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.390 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
16.390 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
16.390 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
16.390 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
16.390 * [taylor]: Taking taylor expansion of -1 in a2
16.390 * [backup-simplify]: Simplify -1 into -1
16.390 * [taylor]: Taking taylor expansion of th in a2
16.390 * [backup-simplify]: Simplify th into th
16.390 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.390 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.391 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
16.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.391 * [taylor]: Taking taylor expansion of 2.0 in a2
16.391 * [backup-simplify]: Simplify 2.0 into 2.0
16.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.395 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.395 * [taylor]: Taking taylor expansion of a2 in a2
16.396 * [backup-simplify]: Simplify 0 into 0
16.396 * [backup-simplify]: Simplify 1 into 1
16.396 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.396 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.396 * [backup-simplify]: Simplify (- 0) into 0
16.396 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.396 * [backup-simplify]: Simplify (* 1 1) into 1
16.397 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
16.397 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.397 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
16.397 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.397 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.397 * [taylor]: Taking taylor expansion of -1 in th
16.397 * [backup-simplify]: Simplify -1 into -1
16.397 * [taylor]: Taking taylor expansion of th in th
16.397 * [backup-simplify]: Simplify 0 into 0
16.397 * [backup-simplify]: Simplify 1 into 1
16.398 * [backup-simplify]: Simplify (/ -1 1) into -1
16.398 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.398 * [taylor]: Taking taylor expansion of 2.0 in th
16.398 * [backup-simplify]: Simplify 2.0 into 2.0
16.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.399 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.399 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.399 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
16.399 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.399 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.399 * [taylor]: Taking taylor expansion of -1 in th
16.399 * [backup-simplify]: Simplify -1 into -1
16.399 * [taylor]: Taking taylor expansion of th in th
16.399 * [backup-simplify]: Simplify 0 into 0
16.399 * [backup-simplify]: Simplify 1 into 1
16.400 * [backup-simplify]: Simplify (/ -1 1) into -1
16.400 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.400 * [taylor]: Taking taylor expansion of 2.0 in th
16.400 * [backup-simplify]: Simplify 2.0 into 2.0
16.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.401 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.401 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.401 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
16.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.403 * [backup-simplify]: Simplify (+ 0 0) into 0
16.403 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.404 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.405 * [backup-simplify]: Simplify (- 0) into 0
16.406 * [backup-simplify]: Simplify (+ 0 0) into 0
16.406 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
16.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.409 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
16.409 * [taylor]: Taking taylor expansion of 0 in a2
16.409 * [backup-simplify]: Simplify 0 into 0
16.410 * [backup-simplify]: Simplify (+ 0) into 0
16.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.410 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.411 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
16.411 * [backup-simplify]: Simplify (- 0) into 0
16.411 * [backup-simplify]: Simplify (+ 0 0) into 0
16.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
16.413 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.413 * [taylor]: Taking taylor expansion of 0 in th
16.413 * [backup-simplify]: Simplify 0 into 0
16.413 * [backup-simplify]: Simplify 0 into 0
16.413 * [taylor]: Taking taylor expansion of 0 in th
16.413 * [backup-simplify]: Simplify 0 into 0
16.413 * [backup-simplify]: Simplify 0 into 0
16.414 * [backup-simplify]: Simplify (+ 0) into 0
16.414 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.414 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.415 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
16.415 * [backup-simplify]: Simplify (- 0) into 0
16.415 * [backup-simplify]: Simplify (+ 0 0) into 0
16.416 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.416 * [taylor]: Taking taylor expansion of 0 in th
16.416 * [backup-simplify]: Simplify 0 into 0
16.416 * [backup-simplify]: Simplify 0 into 0
16.417 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.417 * [backup-simplify]: Simplify 0 into 0
16.419 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.419 * [backup-simplify]: Simplify 0 into 0
16.419 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
16.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.421 * [backup-simplify]: Simplify (+ 0 0) into 0
16.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
16.423 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.424 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.425 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
16.425 * [backup-simplify]: Simplify (- 0) into 0
16.425 * [backup-simplify]: Simplify (+ 0 0) into 0
16.426 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
16.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.429 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.430 * [taylor]: Taking taylor expansion of 0 in a2
16.430 * [backup-simplify]: Simplify 0 into 0
16.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.431 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.432 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.432 * [backup-simplify]: Simplify (- 0) into 0
16.432 * [backup-simplify]: Simplify (+ 0 0) into 0
16.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.434 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
16.435 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.435 * [taylor]: Taking taylor expansion of 0 in th
16.435 * [backup-simplify]: Simplify 0 into 0
16.435 * [backup-simplify]: Simplify 0 into 0
16.436 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
16.436 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
16.437 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0)))) into (/ (sqrt 2.0) (cos th))
16.437 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
16.437 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
16.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.438 * [taylor]: Taking taylor expansion of 2.0 in th
16.438 * [backup-simplify]: Simplify 2.0 into 2.0
16.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.438 * [taylor]: Taking taylor expansion of (cos th) in th
16.438 * [taylor]: Taking taylor expansion of th in th
16.438 * [backup-simplify]: Simplify 0 into 0
16.438 * [backup-simplify]: Simplify 1 into 1
16.439 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
16.439 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
16.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.439 * [taylor]: Taking taylor expansion of 2.0 in th
16.439 * [backup-simplify]: Simplify 2.0 into 2.0
16.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.440 * [taylor]: Taking taylor expansion of (cos th) in th
16.440 * [taylor]: Taking taylor expansion of th in th
16.440 * [backup-simplify]: Simplify 0 into 0
16.440 * [backup-simplify]: Simplify 1 into 1
16.440 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
16.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.441 * [backup-simplify]: Simplify (+ 0) into 0
16.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
16.441 * [backup-simplify]: Simplify 0 into 0
16.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
16.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
16.448 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
16.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
16.453 * [backup-simplify]: Simplify 0 into 0
16.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.457 * [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
16.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 1/24 1)) (* 0 (/ 0 1)) (* (* 1/2 (sqrt 2.0)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 5/24 (sqrt 2.0))
16.468 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
16.470 * [backup-simplify]: Simplify (+ (* (* 5/24 (sqrt 2.0)) (pow th 4)) (+ (* (* 1/2 (sqrt 2.0)) (pow th 2)) (sqrt 2.0))) into (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
16.471 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (/ (cos (/ 1 th)) (sqrt (sqrt 2.0)))) into (/ (sqrt 2.0) (cos (/ 1 th)))
16.471 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
16.471 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
16.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.471 * [taylor]: Taking taylor expansion of 2.0 in th
16.471 * [backup-simplify]: Simplify 2.0 into 2.0
16.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.472 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.472 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.472 * [taylor]: Taking taylor expansion of th in th
16.472 * [backup-simplify]: Simplify 0 into 0
16.472 * [backup-simplify]: Simplify 1 into 1
16.472 * [backup-simplify]: Simplify (/ 1 1) into 1
16.472 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.473 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
16.473 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
16.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.473 * [taylor]: Taking taylor expansion of 2.0 in th
16.473 * [backup-simplify]: Simplify 2.0 into 2.0
16.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.473 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.473 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.473 * [taylor]: Taking taylor expansion of th in th
16.473 * [backup-simplify]: Simplify 0 into 0
16.473 * [backup-simplify]: Simplify 1 into 1
16.474 * [backup-simplify]: Simplify (/ 1 1) into 1
16.474 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.474 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
16.474 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
16.475 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
16.475 * [backup-simplify]: Simplify 0 into 0
16.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
16.476 * [backup-simplify]: Simplify 0 into 0
16.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
16.477 * [backup-simplify]: Simplify 0 into 0
16.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.479 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
16.479 * [backup-simplify]: Simplify 0 into 0
16.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.480 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
16.480 * [backup-simplify]: Simplify 0 into 0
16.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.482 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
16.482 * [backup-simplify]: Simplify 0 into 0
16.482 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
16.483 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
16.483 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
16.483 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
16.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.483 * [taylor]: Taking taylor expansion of 2.0 in th
16.483 * [backup-simplify]: Simplify 2.0 into 2.0
16.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.484 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.484 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.484 * [taylor]: Taking taylor expansion of -1 in th
16.484 * [backup-simplify]: Simplify -1 into -1
16.484 * [taylor]: Taking taylor expansion of th in th
16.484 * [backup-simplify]: Simplify 0 into 0
16.484 * [backup-simplify]: Simplify 1 into 1
16.484 * [backup-simplify]: Simplify (/ -1 1) into -1
16.484 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.485 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
16.485 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
16.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.485 * [taylor]: Taking taylor expansion of 2.0 in th
16.485 * [backup-simplify]: Simplify 2.0 into 2.0
16.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.485 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.485 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.485 * [taylor]: Taking taylor expansion of -1 in th
16.485 * [backup-simplify]: Simplify -1 into -1
16.485 * [taylor]: Taking taylor expansion of th in th
16.485 * [backup-simplify]: Simplify 0 into 0
16.485 * [backup-simplify]: Simplify 1 into 1
16.486 * [backup-simplify]: Simplify (/ -1 1) into -1
16.486 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.486 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
16.486 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
16.487 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
16.487 * [backup-simplify]: Simplify 0 into 0
16.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.488 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
16.488 * [backup-simplify]: Simplify 0 into 0
16.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.489 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
16.489 * [backup-simplify]: Simplify 0 into 0
16.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.491 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
16.491 * [backup-simplify]: Simplify 0 into 0
16.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
16.492 * [backup-simplify]: Simplify 0 into 0
16.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.494 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
16.494 * [backup-simplify]: Simplify 0 into 0
16.498 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
16.498 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
16.498 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
16.498 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
16.499 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.499 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.499 * [taylor]: Taking taylor expansion of a2 in a2
16.499 * [backup-simplify]: Simplify 0 into 0
16.499 * [backup-simplify]: Simplify 1 into 1
16.499 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.499 * [taylor]: Taking taylor expansion of a1 in a2
16.499 * [backup-simplify]: Simplify a1 into a1
16.499 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.499 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.499 * [taylor]: Taking taylor expansion of a2 in a1
16.499 * [backup-simplify]: Simplify a2 into a2
16.499 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.499 * [taylor]: Taking taylor expansion of a1 in a1
16.499 * [backup-simplify]: Simplify 0 into 0
16.499 * [backup-simplify]: Simplify 1 into 1
16.499 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.499 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.499 * [taylor]: Taking taylor expansion of a2 in a1
16.499 * [backup-simplify]: Simplify a2 into a2
16.499 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.499 * [taylor]: Taking taylor expansion of a1 in a1
16.499 * [backup-simplify]: Simplify 0 into 0
16.499 * [backup-simplify]: Simplify 1 into 1
16.499 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.499 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.499 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.499 * [taylor]: Taking taylor expansion of a2 in a2
16.499 * [backup-simplify]: Simplify 0 into 0
16.499 * [backup-simplify]: Simplify 1 into 1
16.499 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.500 * [backup-simplify]: Simplify (+ 0 0) into 0
16.500 * [taylor]: Taking taylor expansion of 0 in a2
16.500 * [backup-simplify]: Simplify 0 into 0
16.500 * [backup-simplify]: Simplify 0 into 0
16.500 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.500 * [backup-simplify]: Simplify (* 1 1) into 1
16.501 * [backup-simplify]: Simplify (+ 0 1) into 1
16.501 * [taylor]: Taking taylor expansion of 1 in a2
16.501 * [backup-simplify]: Simplify 1 into 1
16.501 * [backup-simplify]: Simplify 1 into 1
16.501 * [backup-simplify]: Simplify 0 into 0
16.501 * [backup-simplify]: Simplify (* 1 1) into 1
16.501 * [backup-simplify]: Simplify 1 into 1
16.502 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
16.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.502 * [backup-simplify]: Simplify (+ 0 0) into 0
16.502 * [taylor]: Taking taylor expansion of 0 in a2
16.502 * [backup-simplify]: Simplify 0 into 0
16.502 * [backup-simplify]: Simplify 0 into 0
16.502 * [backup-simplify]: Simplify 0 into 0
16.502 * [backup-simplify]: Simplify 0 into 0
16.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.503 * [backup-simplify]: Simplify 0 into 0
16.504 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
16.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.505 * [backup-simplify]: Simplify (+ 0 0) into 0
16.505 * [taylor]: Taking taylor expansion of 0 in a2
16.505 * [backup-simplify]: Simplify 0 into 0
16.505 * [backup-simplify]: Simplify 0 into 0
16.505 * [backup-simplify]: Simplify 0 into 0
16.506 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
16.506 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
16.506 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
16.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.506 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.506 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.506 * [taylor]: Taking taylor expansion of a2 in a2
16.506 * [backup-simplify]: Simplify 0 into 0
16.506 * [backup-simplify]: Simplify 1 into 1
16.507 * [backup-simplify]: Simplify (* 1 1) into 1
16.507 * [backup-simplify]: Simplify (/ 1 1) into 1
16.507 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.507 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.507 * [taylor]: Taking taylor expansion of a1 in a2
16.507 * [backup-simplify]: Simplify a1 into a1
16.507 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.507 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.507 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.507 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.507 * [taylor]: Taking taylor expansion of a2 in a1
16.507 * [backup-simplify]: Simplify a2 into a2
16.508 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.508 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.508 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.508 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.508 * [taylor]: Taking taylor expansion of a1 in a1
16.508 * [backup-simplify]: Simplify 0 into 0
16.508 * [backup-simplify]: Simplify 1 into 1
16.508 * [backup-simplify]: Simplify (* 1 1) into 1
16.509 * [backup-simplify]: Simplify (/ 1 1) into 1
16.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.509 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.509 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.509 * [taylor]: Taking taylor expansion of a2 in a1
16.509 * [backup-simplify]: Simplify a2 into a2
16.509 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.509 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.509 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.509 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.509 * [taylor]: Taking taylor expansion of a1 in a1
16.509 * [backup-simplify]: Simplify 0 into 0
16.509 * [backup-simplify]: Simplify 1 into 1
16.510 * [backup-simplify]: Simplify (* 1 1) into 1
16.510 * [backup-simplify]: Simplify (/ 1 1) into 1
16.511 * [backup-simplify]: Simplify (+ 0 1) into 1
16.511 * [taylor]: Taking taylor expansion of 1 in a2
16.511 * [backup-simplify]: Simplify 1 into 1
16.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.513 * [backup-simplify]: Simplify (+ 0 0) into 0
16.513 * [taylor]: Taking taylor expansion of 0 in a2
16.513 * [backup-simplify]: Simplify 0 into 0
16.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.515 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
16.515 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.515 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.515 * [taylor]: Taking taylor expansion of a2 in a2
16.515 * [backup-simplify]: Simplify 0 into 0
16.515 * [backup-simplify]: Simplify 1 into 1
16.516 * [backup-simplify]: Simplify (* 1 1) into 1
16.516 * [backup-simplify]: Simplify (/ 1 1) into 1
16.516 * [backup-simplify]: Simplify 1 into 1
16.516 * [backup-simplify]: Simplify 1 into 1
16.516 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
16.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.519 * [backup-simplify]: Simplify (+ 0 0) into 0
16.519 * [taylor]: Taking taylor expansion of 0 in a2
16.519 * [backup-simplify]: Simplify 0 into 0
16.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.521 * [backup-simplify]: Simplify 0 into 0
16.521 * [backup-simplify]: Simplify 0 into 0
16.521 * [backup-simplify]: Simplify 0 into 0
16.522 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
16.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.525 * [backup-simplify]: Simplify (+ 0 0) into 0
16.525 * [taylor]: Taking taylor expansion of 0 in a2
16.525 * [backup-simplify]: Simplify 0 into 0
16.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.527 * [backup-simplify]: Simplify 0 into 0
16.527 * [backup-simplify]: Simplify 0 into 0
16.527 * [backup-simplify]: Simplify 0 into 0
16.528 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
16.529 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
16.529 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
16.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.529 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.529 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.529 * [taylor]: Taking taylor expansion of a2 in a2
16.529 * [backup-simplify]: Simplify 0 into 0
16.529 * [backup-simplify]: Simplify 1 into 1
16.529 * [backup-simplify]: Simplify (* 1 1) into 1
16.530 * [backup-simplify]: Simplify (/ 1 1) into 1
16.530 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.530 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.530 * [taylor]: Taking taylor expansion of a1 in a2
16.530 * [backup-simplify]: Simplify a1 into a1
16.530 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.530 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.530 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.530 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.530 * [taylor]: Taking taylor expansion of a2 in a1
16.530 * [backup-simplify]: Simplify a2 into a2
16.530 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.531 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.531 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.531 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.531 * [taylor]: Taking taylor expansion of a1 in a1
16.531 * [backup-simplify]: Simplify 0 into 0
16.531 * [backup-simplify]: Simplify 1 into 1
16.531 * [backup-simplify]: Simplify (* 1 1) into 1
16.531 * [backup-simplify]: Simplify (/ 1 1) into 1
16.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.532 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.532 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.532 * [taylor]: Taking taylor expansion of a2 in a1
16.532 * [backup-simplify]: Simplify a2 into a2
16.532 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.532 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.532 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.532 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.532 * [taylor]: Taking taylor expansion of a1 in a1
16.532 * [backup-simplify]: Simplify 0 into 0
16.532 * [backup-simplify]: Simplify 1 into 1
16.532 * [backup-simplify]: Simplify (* 1 1) into 1
16.533 * [backup-simplify]: Simplify (/ 1 1) into 1
16.533 * [backup-simplify]: Simplify (+ 0 1) into 1
16.533 * [taylor]: Taking taylor expansion of 1 in a2
16.533 * [backup-simplify]: Simplify 1 into 1
16.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.535 * [backup-simplify]: Simplify (+ 0 0) into 0
16.535 * [taylor]: Taking taylor expansion of 0 in a2
16.535 * [backup-simplify]: Simplify 0 into 0
16.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.538 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
16.538 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.538 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.538 * [taylor]: Taking taylor expansion of a2 in a2
16.538 * [backup-simplify]: Simplify 0 into 0
16.538 * [backup-simplify]: Simplify 1 into 1
16.538 * [backup-simplify]: Simplify (* 1 1) into 1
16.539 * [backup-simplify]: Simplify (/ 1 1) into 1
16.539 * [backup-simplify]: Simplify 1 into 1
16.539 * [backup-simplify]: Simplify 1 into 1
16.539 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
16.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.542 * [backup-simplify]: Simplify (+ 0 0) into 0
16.542 * [taylor]: Taking taylor expansion of 0 in a2
16.542 * [backup-simplify]: Simplify 0 into 0
16.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.543 * [backup-simplify]: Simplify 0 into 0
16.543 * [backup-simplify]: Simplify 0 into 0
16.543 * [backup-simplify]: Simplify 0 into 0
16.544 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
16.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.547 * [backup-simplify]: Simplify (+ 0 0) into 0
16.547 * [taylor]: Taking taylor expansion of 0 in a2
16.547 * [backup-simplify]: Simplify 0 into 0
16.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.549 * [backup-simplify]: Simplify 0 into 0
16.549 * [backup-simplify]: Simplify 0 into 0
16.549 * [backup-simplify]: Simplify 0 into 0
16.550 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
16.550 * * * [progress]: simplifying candidates
16.612 * [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 (+ (* a1 a1) (* a2 a2))) (- (log (sqrt (sqrt 2.0))) (- (log (cos th)) (log (sqrt (sqrt 2.0))))))
  (- (log (+ (* a1 a1) (* a2 a2))) (- (log (sqrt (sqrt 2.0))) (log (/ (cos th) (sqrt (sqrt 2.0))))))
  (- (log (+ (* a1 a1) (* a2 a2))) (log (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (/ (* (* (sqrt (sqrt 2.0)) (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))))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (/ (* (* (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))))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (/ (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))))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0)))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0)))))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0)))))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (- (+ (* a1 a1) (* a2 a2)))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (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)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 1)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt 1))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) 1)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 1)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 1)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt 1))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) 1)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 1)))))
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  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt 1))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ (sqrt (cos th)) (sqrt 1)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ (sqrt (cos th)) 1))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ 1 (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ 1 (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ 1 (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ 1 (sqrt (sqrt 1))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ 1 (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ 1 (sqrt 1)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ 1 (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ 1 (/ 1 1))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ 1 (cos th))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))))
  (/ 1 (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (/ (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))))))
  (/ (sqrt (sqrt 2.0)) (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))))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 1))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt 1)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) 1))
  (/ (sqrt (sqrt 2.0)) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 1))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt 1)))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ 1 1))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (* (exp (* a1 a1)) (exp (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
  (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 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))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
16.673 * * [simplify]: iteration 0: 1460 enodes
18.173 * * [simplify]: iteration 1: 4490 enodes
19.197 * * [simplify]: iteration complete: 5002 enodes
19.198 * * [simplify]: Extracting #0: cost 979 inf + 0
19.205 * * [simplify]: Extracting #1: cost 2383 inf + 1
19.228 * * [simplify]: Extracting #2: cost 2536 inf + 2936
19.246 * * [simplify]: Extracting #3: cost 2456 inf + 12115
19.258 * * [simplify]: Extracting #4: cost 2289 inf + 45020
19.317 * * [simplify]: Extracting #5: cost 1323 inf + 351415
19.447 * * [simplify]: Extracting #6: cost 200 inf + 852576
19.629 * * [simplify]: Extracting #7: cost 0 inf + 950681
19.792 * * [simplify]: Extracting #8: cost 0 inf + 950521
20.033 * [simplify]: Simplified to:
  (log (/ (cos th) (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 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 (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (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)))
  (/ (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)))
  (/ (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)))
  (/ (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)) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (fabs (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 (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 (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 (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 (fabs (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (fabs (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  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) (fabs (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (fabs (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (log (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (log (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (log (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (log (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (exp (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (+ (* a2 a2) (* a1 a1)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))) (/ (* (sqrt 2.0) (sqrt (sqrt 2.0))) (/ (* (cos th) (* (cos th) (cos th))) (* (sqrt 2.0) (sqrt (sqrt 2.0))))))
  (/ (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (/ (/ (* (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))))) (+ (* a2 a2) (* a1 a1))))
  (/ (* (+ (* a2 a2) (* a1 a1)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1)))) (* (* (/ (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))))))
  (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))))
  (cbrt (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))) (* (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))) (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))))
  (sqrt (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (sqrt (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (- (+ (* a2 a2) (* a1 a1)))
  (/ (- (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (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 (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ (fabs (cbrt (sqrt 2.0))) 1) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
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  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) 1)
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
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  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
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  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1))))) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1) (cos th))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0)))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))) (cbrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (cos th))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (fabs (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (fabs (cbrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0)))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (fabs (cbrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
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  (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0)))))
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  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
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  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt (sqrt 2.0))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
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  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0)))))
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  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))))
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  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt (sqrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (fabs (cbrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0))))
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  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) 1)
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt (sqrt 2.0))))
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  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (cos th)))
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  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (sqrt 2.0)) (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))) (/ (cos th) (sqrt (sqrt 2.0))))
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  (log (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (log (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (log (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (exp (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
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  (/ (* (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)))))
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  (sqrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
  (sqrt (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0))))
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  (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (/ (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)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (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))) (fabs (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 (fabs (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 (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
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  (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (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 (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (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 (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
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  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (cbrt (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)))))
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  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (cbrt (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))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (cbrt (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))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (cos th))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (fabs (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (fabs (cbrt (sqrt 2.0))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0))))
  (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))
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  (* (/ (fabs (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (fabs (cbrt (sqrt 2.0))) 1) (fabs (cbrt (sqrt 2.0))))
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  (* (/ (fabs (cbrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (fabs (cbrt (sqrt 2.0))) 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (fabs (cbrt (sqrt 2.0)))
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  (/ (sqrt (cbrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (fabs (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (cbrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))))
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  (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
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  (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (fabs (cbrt 2.0))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
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  (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (fabs (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
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  (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
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  (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))
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  (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))
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  (/ (sqrt (sqrt (cbrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (fabs (cbrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (cbrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
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  (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt 2.0)))
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  (/ (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 (fabs (cbrt 2.0)))))
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  (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
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  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
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  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
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  (/ 1 (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ 1 (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
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  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
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  (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (fabs (cbrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (sqrt (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (cos th))
  (/ (sqrt (sqrt 2.0)) (/ 1 (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 (sqrt 2.0))) (cbrt (/ (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 (sqrt 2.0))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (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))) (fabs (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 (fabs (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 (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (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))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (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))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (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)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ 1 (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ 1 (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (fabs (cbrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (sqrt (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (cos th))
  (/ (sqrt (sqrt 2.0)) (/ 1 (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 (sqrt 2.0))) (cbrt (/ (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 (sqrt 2.0))) (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (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))) (fabs (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 (fabs (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 (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (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))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (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))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (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)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (sqrt (sqrt 2.0))) 1) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ 1 (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ 1 (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (fabs (cbrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (sqrt (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (cos th))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (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)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0))))
  (* (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (fabs (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 (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ (/ 1 (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (exp (+ (* a2 a2) (* a1 a1)))
  (log (+ (* a2 a2) (* a1 a1)))
  (exp (+ (* a2 a2) (* a1 a1)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (cbrt (+ (* a2 a2) (* a1 a1)))
  (* (+ (* a2 a2) (* a1 a1)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* a1 (* a1 a1)) (* a1 (* a1 a1))))
  (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (* (+ a1 a2) (- a1 a2))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) (* (* th th) (* th th)))) (* 1/2 (* (* th th) (sqrt (/ 1 (sqrt 2.0))))))
  (* (cos th) (sqrt (/ 1 (sqrt 2.0))))
  (* (cos th) (sqrt (/ 1 (sqrt 2.0))))
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (/ (* (cos th) (* a1 a1)) (sqrt 2.0)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (/ (* (cos th) (* a1 a1)) (sqrt 2.0)))
  (+ (sqrt 2.0) (+ (* (* (sqrt 2.0) (* th th)) 1/2) (* (* 5/24 (sqrt 2.0)) (* (* th th) (* th th)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
20.342 * * * [progress]: adding candidates to table
27.703 * * [progress]: iteration 4 / 4
27.703 * * * [progress]: picking best candidate
27.745 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))>
27.745 * * * [progress]: localizing error
27.777 * * * [progress]: generating rewritten candidates
27.777 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
27.825 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
27.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
27.921 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
28.067 * * * [progress]: generating series expansions
28.067 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
28.068 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) into (* (sqrt (/ 1 (sqrt 2.0))) (* (+ (pow a2 2) (pow a1 2)) (cos th)))
28.068 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in (a1 a2 th) around 0
28.068 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in th
28.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.068 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.068 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.068 * [taylor]: Taking taylor expansion of 2.0 in th
28.068 * [backup-simplify]: Simplify 2.0 into 2.0
28.068 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.069 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.070 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.071 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
28.071 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
28.071 * [taylor]: Taking taylor expansion of (pow a2 2) in th
28.071 * [taylor]: Taking taylor expansion of a2 in th
28.072 * [backup-simplify]: Simplify a2 into a2
28.072 * [taylor]: Taking taylor expansion of (pow a1 2) in th
28.072 * [taylor]: Taking taylor expansion of a1 in th
28.072 * [backup-simplify]: Simplify a1 into a1
28.072 * [taylor]: Taking taylor expansion of (cos th) in th
28.072 * [taylor]: Taking taylor expansion of th in th
28.072 * [backup-simplify]: Simplify 0 into 0
28.072 * [backup-simplify]: Simplify 1 into 1
28.072 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a2
28.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.072 * [taylor]: Taking taylor expansion of 2.0 in a2
28.072 * [backup-simplify]: Simplify 2.0 into 2.0
28.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.073 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.074 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.075 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
28.075 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
28.075 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.075 * [taylor]: Taking taylor expansion of a2 in a2
28.075 * [backup-simplify]: Simplify 0 into 0
28.075 * [backup-simplify]: Simplify 1 into 1
28.076 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.076 * [taylor]: Taking taylor expansion of a1 in a2
28.076 * [backup-simplify]: Simplify a1 into a1
28.076 * [taylor]: Taking taylor expansion of (cos th) in a2
28.076 * [taylor]: Taking taylor expansion of th in a2
28.076 * [backup-simplify]: Simplify th into th
28.076 * [backup-simplify]: Simplify (cos th) into (cos th)
28.076 * [backup-simplify]: Simplify (sin th) into (sin th)
28.076 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a1
28.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
28.076 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
28.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.076 * [taylor]: Taking taylor expansion of 2.0 in a1
28.076 * [backup-simplify]: Simplify 2.0 into 2.0
28.076 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.077 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.078 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.079 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
28.079 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
28.079 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.079 * [taylor]: Taking taylor expansion of a2 in a1
28.079 * [backup-simplify]: Simplify a2 into a2
28.080 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.080 * [taylor]: Taking taylor expansion of a1 in a1
28.080 * [backup-simplify]: Simplify 0 into 0
28.080 * [backup-simplify]: Simplify 1 into 1
28.080 * [taylor]: Taking taylor expansion of (cos th) in a1
28.080 * [taylor]: Taking taylor expansion of th in a1
28.080 * [backup-simplify]: Simplify th into th
28.080 * [backup-simplify]: Simplify (cos th) into (cos th)
28.080 * [backup-simplify]: Simplify (sin th) into (sin th)
28.080 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a1
28.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
28.080 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
28.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.080 * [taylor]: Taking taylor expansion of 2.0 in a1
28.080 * [backup-simplify]: Simplify 2.0 into 2.0
28.080 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.081 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.082 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.084 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
28.084 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
28.084 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.084 * [taylor]: Taking taylor expansion of a2 in a1
28.084 * [backup-simplify]: Simplify a2 into a2
28.084 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.084 * [taylor]: Taking taylor expansion of a1 in a1
28.084 * [backup-simplify]: Simplify 0 into 0
28.084 * [backup-simplify]: Simplify 1 into 1
28.084 * [taylor]: Taking taylor expansion of (cos th) in a1
28.084 * [taylor]: Taking taylor expansion of th in a1
28.084 * [backup-simplify]: Simplify th into th
28.084 * [backup-simplify]: Simplify (cos th) into (cos th)
28.084 * [backup-simplify]: Simplify (sin th) into (sin th)
28.084 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.084 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
28.084 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.084 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.085 * [backup-simplify]: Simplify (- 0) into 0
28.085 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.085 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
28.086 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) into (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2)))
28.086 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) in a2
28.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.086 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.086 * [taylor]: Taking taylor expansion of 2.0 in a2
28.086 * [backup-simplify]: Simplify 2.0 into 2.0
28.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.087 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.089 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.091 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
28.091 * [taylor]: Taking taylor expansion of (cos th) in a2
28.091 * [taylor]: Taking taylor expansion of th in a2
28.091 * [backup-simplify]: Simplify th into th
28.091 * [backup-simplify]: Simplify (cos th) into (cos th)
28.091 * [backup-simplify]: Simplify (sin th) into (sin th)
28.091 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.091 * [taylor]: Taking taylor expansion of a2 in a2
28.091 * [backup-simplify]: Simplify 0 into 0
28.091 * [backup-simplify]: Simplify 1 into 1
28.092 * [backup-simplify]: Simplify (+ 0) into 0
28.093 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.095 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
28.095 * [backup-simplify]: Simplify (- 0) into 0
28.096 * [backup-simplify]: Simplify (+ 0 0) into 0
28.096 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.097 * [backup-simplify]: Simplify (+ 0 0) into 0
28.097 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
28.098 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (* (cos th) (pow a2 2)))) into 0
28.098 * [taylor]: Taking taylor expansion of 0 in a2
28.098 * [backup-simplify]: Simplify 0 into 0
28.098 * [taylor]: Taking taylor expansion of 0 in th
28.098 * [backup-simplify]: Simplify 0 into 0
28.098 * [backup-simplify]: Simplify 0 into 0
28.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.100 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
28.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.101 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
28.102 * [backup-simplify]: Simplify (- 0) into 0
28.102 * [backup-simplify]: Simplify (+ 0 0) into 0
28.103 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.103 * [backup-simplify]: Simplify (* 1 1) into 1
28.103 * [backup-simplify]: Simplify (+ 0 1) into 1
28.104 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
28.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.110 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (+ (* 0 0) (* 0 (* (cos th) (pow a2 2))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
28.110 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in a2
28.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.110 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.110 * [taylor]: Taking taylor expansion of 2.0 in a2
28.111 * [backup-simplify]: Simplify 2.0 into 2.0
28.111 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.113 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.114 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.116 * [taylor]: Taking taylor expansion of (cos th) in a2
28.116 * [taylor]: Taking taylor expansion of th in a2
28.116 * [backup-simplify]: Simplify th into th
28.116 * [backup-simplify]: Simplify (cos th) into (cos th)
28.116 * [backup-simplify]: Simplify (sin th) into (sin th)
28.117 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.117 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.117 * [backup-simplify]: Simplify (- 0) into 0
28.117 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.119 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
28.119 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
28.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.119 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.119 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.119 * [taylor]: Taking taylor expansion of 2.0 in th
28.119 * [backup-simplify]: Simplify 2.0 into 2.0
28.119 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.121 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.122 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.124 * [taylor]: Taking taylor expansion of (cos th) in th
28.124 * [taylor]: Taking taylor expansion of th in th
28.124 * [backup-simplify]: Simplify 0 into 0
28.124 * [backup-simplify]: Simplify 1 into 1
28.126 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
28.126 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.127 * [taylor]: Taking taylor expansion of 0 in th
28.127 * [backup-simplify]: Simplify 0 into 0
28.127 * [backup-simplify]: Simplify 0 into 0
28.127 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.127 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.127 * [backup-simplify]: Simplify (- 0) into 0
28.127 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.127 * [backup-simplify]: Simplify (* 1 1) into 1
28.127 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.128 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
28.128 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
28.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.128 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.128 * [taylor]: Taking taylor expansion of 2.0 in th
28.128 * [backup-simplify]: Simplify 2.0 into 2.0
28.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.130 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.130 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.132 * [taylor]: Taking taylor expansion of (cos th) in th
28.132 * [taylor]: Taking taylor expansion of th in th
28.132 * [backup-simplify]: Simplify 0 into 0
28.132 * [backup-simplify]: Simplify 1 into 1
28.133 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
28.134 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.134 * [backup-simplify]: Simplify 0 into 0
28.135 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.135 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
28.137 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
28.137 * [backup-simplify]: Simplify (- 0) into 0
28.137 * [backup-simplify]: Simplify (+ 0 0) into 0
28.138 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
28.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.138 * [backup-simplify]: Simplify (+ 0 0) into 0
28.139 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
28.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.142 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (cos th)) (+ (* 0 0) (* 0 (* (cos th) (pow a2 2)))))) into 0
28.142 * [taylor]: Taking taylor expansion of 0 in a2
28.142 * [backup-simplify]: Simplify 0 into 0
28.142 * [taylor]: Taking taylor expansion of 0 in th
28.142 * [backup-simplify]: Simplify 0 into 0
28.142 * [backup-simplify]: Simplify 0 into 0
28.143 * [backup-simplify]: Simplify (+ 0) into 0
28.143 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.144 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
28.144 * [backup-simplify]: Simplify (- 0) into 0
28.144 * [backup-simplify]: Simplify (+ 0 0) into 0
28.145 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos th))) into 0
28.145 * [taylor]: Taking taylor expansion of 0 in th
28.145 * [backup-simplify]: Simplify 0 into 0
28.145 * [backup-simplify]: Simplify 0 into 0
28.145 * [taylor]: Taking taylor expansion of 0 in th
28.145 * [backup-simplify]: Simplify 0 into 0
28.145 * [backup-simplify]: Simplify 0 into 0
28.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.145 * [backup-simplify]: Simplify (+ 0) into 0
28.146 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.146 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
28.147 * [backup-simplify]: Simplify (- 0) into 0
28.147 * [backup-simplify]: Simplify (+ 0 0) into 0
28.147 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.148 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos th))) into 0
28.148 * [taylor]: Taking taylor expansion of 0 in th
28.148 * [backup-simplify]: Simplify 0 into 0
28.148 * [backup-simplify]: Simplify 0 into 0
28.148 * [backup-simplify]: Simplify (+ 0) into 0
28.149 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
28.149 * [backup-simplify]: Simplify 0 into 0
28.151 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 (* a2 1)) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 (* 1 a1)) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
28.159 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 th)))) into (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
28.159 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a1 a2 th) around 0
28.159 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
28.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.159 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.159 * [taylor]: Taking taylor expansion of 2.0 in th
28.159 * [backup-simplify]: Simplify 2.0 into 2.0
28.159 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.161 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.162 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.165 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
28.165 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.165 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.165 * [taylor]: Taking taylor expansion of th in th
28.165 * [backup-simplify]: Simplify 0 into 0
28.165 * [backup-simplify]: Simplify 1 into 1
28.165 * [backup-simplify]: Simplify (/ 1 1) into 1
28.165 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
28.165 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
28.165 * [taylor]: Taking taylor expansion of (pow a2 2) in th
28.165 * [taylor]: Taking taylor expansion of a2 in th
28.165 * [backup-simplify]: Simplify a2 into a2
28.165 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.165 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.166 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
28.166 * [taylor]: Taking taylor expansion of (pow a1 2) in th
28.166 * [taylor]: Taking taylor expansion of a1 in th
28.166 * [backup-simplify]: Simplify a1 into a1
28.166 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.166 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.166 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
28.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.166 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.166 * [taylor]: Taking taylor expansion of 2.0 in a2
28.166 * [backup-simplify]: Simplify 2.0 into 2.0
28.166 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.168 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.169 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.172 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
28.172 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
28.172 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
28.172 * [taylor]: Taking taylor expansion of th in a2
28.172 * [backup-simplify]: Simplify th into th
28.172 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.172 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.172 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
28.172 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.172 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.172 * [taylor]: Taking taylor expansion of a2 in a2
28.172 * [backup-simplify]: Simplify 0 into 0
28.172 * [backup-simplify]: Simplify 1 into 1
28.172 * [backup-simplify]: Simplify (* 1 1) into 1
28.173 * [backup-simplify]: Simplify (/ 1 1) into 1
28.173 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
28.173 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.173 * [taylor]: Taking taylor expansion of a1 in a2
28.173 * [backup-simplify]: Simplify a1 into a1
28.173 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.173 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.173 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
28.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
28.173 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
28.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.173 * [taylor]: Taking taylor expansion of 2.0 in a1
28.173 * [backup-simplify]: Simplify 2.0 into 2.0
28.174 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.175 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.177 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.179 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.179 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
28.179 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
28.179 * [taylor]: Taking taylor expansion of th in a1
28.179 * [backup-simplify]: Simplify th into th
28.179 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.179 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.179 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.180 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.180 * [taylor]: Taking taylor expansion of a2 in a1
28.180 * [backup-simplify]: Simplify a2 into a2
28.180 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.180 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.180 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.180 * [taylor]: Taking taylor expansion of a1 in a1
28.180 * [backup-simplify]: Simplify 0 into 0
28.180 * [backup-simplify]: Simplify 1 into 1
28.180 * [backup-simplify]: Simplify (* 1 1) into 1
28.181 * [backup-simplify]: Simplify (/ 1 1) into 1
28.181 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
28.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
28.181 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
28.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.181 * [taylor]: Taking taylor expansion of 2.0 in a1
28.181 * [backup-simplify]: Simplify 2.0 into 2.0
28.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.183 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.184 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.186 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.186 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
28.186 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
28.186 * [taylor]: Taking taylor expansion of th in a1
28.186 * [backup-simplify]: Simplify th into th
28.186 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.186 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.186 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.186 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.186 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.186 * [taylor]: Taking taylor expansion of a2 in a1
28.186 * [backup-simplify]: Simplify a2 into a2
28.186 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.186 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.186 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.186 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.186 * [taylor]: Taking taylor expansion of a1 in a1
28.186 * [backup-simplify]: Simplify 0 into 0
28.186 * [backup-simplify]: Simplify 1 into 1
28.186 * [backup-simplify]: Simplify (* 1 1) into 1
28.187 * [backup-simplify]: Simplify (/ 1 1) into 1
28.187 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.187 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.187 * [backup-simplify]: Simplify (- 0) into 0
28.187 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.187 * [backup-simplify]: Simplify (+ 0 1) into 1
28.187 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.188 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.188 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in a2
28.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.188 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.188 * [taylor]: Taking taylor expansion of 2.0 in a2
28.188 * [backup-simplify]: Simplify 2.0 into 2.0
28.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.190 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.191 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.192 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
28.192 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
28.192 * [taylor]: Taking taylor expansion of th in a2
28.192 * [backup-simplify]: Simplify th into th
28.192 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.192 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.192 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.193 * [backup-simplify]: Simplify (+ 0 0) into 0
28.193 * [backup-simplify]: Simplify (+ 0) into 0
28.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
28.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
28.195 * [backup-simplify]: Simplify (- 0) into 0
28.195 * [backup-simplify]: Simplify (+ 0 0) into 0
28.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.196 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
28.196 * [taylor]: Taking taylor expansion of 0 in a2
28.196 * [backup-simplify]: Simplify 0 into 0
28.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.197 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
28.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.199 * [backup-simplify]: Simplify (- 0) into 0
28.199 * [backup-simplify]: Simplify (+ 0 0) into 0
28.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
28.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.203 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2)))
28.203 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in a2
28.203 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.203 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.203 * [taylor]: Taking taylor expansion of 2.0 in a2
28.204 * [backup-simplify]: Simplify 2.0 into 2.0
28.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.205 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.206 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.207 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
28.207 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
28.207 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
28.207 * [taylor]: Taking taylor expansion of th in a2
28.207 * [backup-simplify]: Simplify th into th
28.207 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.207 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.207 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.207 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.207 * [taylor]: Taking taylor expansion of a2 in a2
28.207 * [backup-simplify]: Simplify 0 into 0
28.207 * [backup-simplify]: Simplify 1 into 1
28.207 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.207 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.208 * [backup-simplify]: Simplify (- 0) into 0
28.208 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.208 * [backup-simplify]: Simplify (* 1 1) into 1
28.208 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.209 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.209 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
28.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.209 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.209 * [taylor]: Taking taylor expansion of 2.0 in th
28.209 * [backup-simplify]: Simplify 2.0 into 2.0
28.209 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.210 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.211 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.213 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.214 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.214 * [taylor]: Taking taylor expansion of th in th
28.214 * [backup-simplify]: Simplify 0 into 0
28.214 * [backup-simplify]: Simplify 1 into 1
28.214 * [backup-simplify]: Simplify (/ 1 1) into 1
28.214 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.216 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.218 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.218 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.218 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.218 * [backup-simplify]: Simplify (- 0) into 0
28.219 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.220 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.220 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
28.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.220 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.220 * [taylor]: Taking taylor expansion of 2.0 in th
28.220 * [backup-simplify]: Simplify 2.0 into 2.0
28.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.222 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.224 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.226 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.226 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.226 * [taylor]: Taking taylor expansion of th in th
28.226 * [backup-simplify]: Simplify 0 into 0
28.226 * [backup-simplify]: Simplify 1 into 1
28.226 * [backup-simplify]: Simplify (/ 1 1) into 1
28.226 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.228 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.230 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
28.230 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
28.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.233 * [backup-simplify]: Simplify (+ 0 0) into 0
28.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
28.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
28.238 * [backup-simplify]: Simplify (- 0) into 0
28.238 * [backup-simplify]: Simplify (+ 0 0) into 0
28.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
28.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.245 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (/ (cos (/ 1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ 1 th)))))) into 0
28.245 * [taylor]: Taking taylor expansion of 0 in a2
28.245 * [backup-simplify]: Simplify 0 into 0
28.246 * [backup-simplify]: Simplify (+ 0) into 0
28.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
28.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
28.248 * [backup-simplify]: Simplify (- 0) into 0
28.248 * [backup-simplify]: Simplify (+ 0 0) into 0
28.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
28.250 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
28.250 * [taylor]: Taking taylor expansion of 0 in th
28.250 * [backup-simplify]: Simplify 0 into 0
28.250 * [backup-simplify]: Simplify 0 into 0
28.250 * [taylor]: Taking taylor expansion of 0 in th
28.250 * [backup-simplify]: Simplify 0 into 0
28.250 * [backup-simplify]: Simplify 0 into 0
28.250 * [backup-simplify]: Simplify (+ 0) into 0
28.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
28.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
28.252 * [backup-simplify]: Simplify (- 0) into 0
28.252 * [backup-simplify]: Simplify (+ 0 0) into 0
28.252 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
28.252 * [taylor]: Taking taylor expansion of 0 in th
28.252 * [backup-simplify]: Simplify 0 into 0
28.252 * [backup-simplify]: Simplify 0 into 0
28.253 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
28.253 * [backup-simplify]: Simplify 0 into 0
28.254 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
28.254 * [backup-simplify]: Simplify 0 into 0
28.254 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
28.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.256 * [backup-simplify]: Simplify (+ 0 0) into 0
28.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
28.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
28.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
28.259 * [backup-simplify]: Simplify (- 0) into 0
28.259 * [backup-simplify]: Simplify (+ 0 0) into 0
28.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
28.261 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.262 * [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
28.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.264 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ 1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
28.264 * [taylor]: Taking taylor expansion of 0 in a2
28.265 * [backup-simplify]: Simplify 0 into 0
28.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.267 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.267 * [backup-simplify]: Simplify (- 0) into 0
28.267 * [backup-simplify]: Simplify (+ 0 0) into 0
28.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.280 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
28.280 * [taylor]: Taking taylor expansion of 0 in th
28.281 * [backup-simplify]: Simplify 0 into 0
28.281 * [backup-simplify]: Simplify 0 into 0
28.284 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (* (sqrt (/ 1 (sqrt 2.0))) (* (pow a1 2) (cos th))))
28.286 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
28.286 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a1 a2 th) around 0
28.286 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
28.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.286 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.286 * [taylor]: Taking taylor expansion of 2.0 in th
28.286 * [backup-simplify]: Simplify 2.0 into 2.0
28.286 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.288 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.290 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.292 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
28.292 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.292 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.292 * [taylor]: Taking taylor expansion of -1 in th
28.292 * [backup-simplify]: Simplify -1 into -1
28.292 * [taylor]: Taking taylor expansion of th in th
28.292 * [backup-simplify]: Simplify 0 into 0
28.292 * [backup-simplify]: Simplify 1 into 1
28.292 * [backup-simplify]: Simplify (/ -1 1) into -1
28.293 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
28.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
28.293 * [taylor]: Taking taylor expansion of (pow a2 2) in th
28.293 * [taylor]: Taking taylor expansion of a2 in th
28.293 * [backup-simplify]: Simplify a2 into a2
28.293 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.293 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
28.293 * [taylor]: Taking taylor expansion of (pow a1 2) in th
28.293 * [taylor]: Taking taylor expansion of a1 in th
28.293 * [backup-simplify]: Simplify a1 into a1
28.293 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.293 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.293 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
28.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.294 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.294 * [taylor]: Taking taylor expansion of 2.0 in a2
28.294 * [backup-simplify]: Simplify 2.0 into 2.0
28.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.296 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.297 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.299 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
28.299 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
28.299 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
28.300 * [taylor]: Taking taylor expansion of -1 in a2
28.300 * [backup-simplify]: Simplify -1 into -1
28.300 * [taylor]: Taking taylor expansion of th in a2
28.300 * [backup-simplify]: Simplify th into th
28.300 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.300 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.300 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
28.300 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.300 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.300 * [taylor]: Taking taylor expansion of a2 in a2
28.300 * [backup-simplify]: Simplify 0 into 0
28.300 * [backup-simplify]: Simplify 1 into 1
28.300 * [backup-simplify]: Simplify (* 1 1) into 1
28.301 * [backup-simplify]: Simplify (/ 1 1) into 1
28.301 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
28.301 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.301 * [taylor]: Taking taylor expansion of a1 in a2
28.301 * [backup-simplify]: Simplify a1 into a1
28.301 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.301 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.301 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
28.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
28.301 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
28.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.301 * [taylor]: Taking taylor expansion of 2.0 in a1
28.301 * [backup-simplify]: Simplify 2.0 into 2.0
28.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.303 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.305 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.307 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.307 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
28.307 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
28.307 * [taylor]: Taking taylor expansion of -1 in a1
28.307 * [backup-simplify]: Simplify -1 into -1
28.307 * [taylor]: Taking taylor expansion of th in a1
28.307 * [backup-simplify]: Simplify th into th
28.307 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.308 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.308 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.308 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.308 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.308 * [taylor]: Taking taylor expansion of a2 in a1
28.308 * [backup-simplify]: Simplify a2 into a2
28.308 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.308 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.308 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.308 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.308 * [taylor]: Taking taylor expansion of a1 in a1
28.308 * [backup-simplify]: Simplify 0 into 0
28.308 * [backup-simplify]: Simplify 1 into 1
28.309 * [backup-simplify]: Simplify (* 1 1) into 1
28.309 * [backup-simplify]: Simplify (/ 1 1) into 1
28.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
28.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
28.309 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
28.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.309 * [taylor]: Taking taylor expansion of 2.0 in a1
28.309 * [backup-simplify]: Simplify 2.0 into 2.0
28.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.311 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.312 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.315 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.315 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
28.315 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
28.315 * [taylor]: Taking taylor expansion of -1 in a1
28.315 * [backup-simplify]: Simplify -1 into -1
28.315 * [taylor]: Taking taylor expansion of th in a1
28.315 * [backup-simplify]: Simplify th into th
28.315 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.315 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.315 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.315 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.315 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.315 * [taylor]: Taking taylor expansion of a2 in a1
28.315 * [backup-simplify]: Simplify a2 into a2
28.315 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.315 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.316 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.316 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.316 * [taylor]: Taking taylor expansion of a1 in a1
28.316 * [backup-simplify]: Simplify 0 into 0
28.316 * [backup-simplify]: Simplify 1 into 1
28.316 * [backup-simplify]: Simplify (* 1 1) into 1
28.316 * [backup-simplify]: Simplify (/ 1 1) into 1
28.317 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.317 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.317 * [backup-simplify]: Simplify (- 0) into 0
28.317 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.318 * [backup-simplify]: Simplify (+ 0 1) into 1
28.318 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.319 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.320 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in a2
28.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.320 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.320 * [taylor]: Taking taylor expansion of 2.0 in a2
28.320 * [backup-simplify]: Simplify 2.0 into 2.0
28.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.322 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.323 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.326 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
28.326 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
28.326 * [taylor]: Taking taylor expansion of -1 in a2
28.326 * [backup-simplify]: Simplify -1 into -1
28.326 * [taylor]: Taking taylor expansion of th in a2
28.326 * [backup-simplify]: Simplify th into th
28.326 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.326 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.326 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.328 * [backup-simplify]: Simplify (+ 0 0) into 0
28.328 * [backup-simplify]: Simplify (+ 0) into 0
28.329 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.329 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
28.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
28.330 * [backup-simplify]: Simplify (- 0) into 0
28.331 * [backup-simplify]: Simplify (+ 0 0) into 0
28.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.332 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
28.332 * [taylor]: Taking taylor expansion of 0 in a2
28.332 * [backup-simplify]: Simplify 0 into 0
28.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.334 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
28.335 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.336 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.337 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.338 * [backup-simplify]: Simplify (- 0) into 0
28.338 * [backup-simplify]: Simplify (+ 0 0) into 0
28.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
28.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.345 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2)))
28.345 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in a2
28.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
28.345 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
28.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.346 * [taylor]: Taking taylor expansion of 2.0 in a2
28.346 * [backup-simplify]: Simplify 2.0 into 2.0
28.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.348 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.349 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.351 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
28.351 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
28.351 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
28.351 * [taylor]: Taking taylor expansion of -1 in a2
28.351 * [backup-simplify]: Simplify -1 into -1
28.352 * [taylor]: Taking taylor expansion of th in a2
28.352 * [backup-simplify]: Simplify th into th
28.352 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.352 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.352 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.352 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.352 * [taylor]: Taking taylor expansion of a2 in a2
28.352 * [backup-simplify]: Simplify 0 into 0
28.352 * [backup-simplify]: Simplify 1 into 1
28.352 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.352 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.353 * [backup-simplify]: Simplify (- 0) into 0
28.353 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.353 * [backup-simplify]: Simplify (* 1 1) into 1
28.353 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.355 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
28.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.355 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.355 * [taylor]: Taking taylor expansion of 2.0 in th
28.355 * [backup-simplify]: Simplify 2.0 into 2.0
28.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.357 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.359 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.361 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.361 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.361 * [taylor]: Taking taylor expansion of -1 in th
28.361 * [backup-simplify]: Simplify -1 into -1
28.361 * [taylor]: Taking taylor expansion of th in th
28.361 * [backup-simplify]: Simplify 0 into 0
28.361 * [backup-simplify]: Simplify 1 into 1
28.361 * [backup-simplify]: Simplify (/ -1 1) into -1
28.361 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.363 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.365 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.365 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.365 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.366 * [backup-simplify]: Simplify (- 0) into 0
28.366 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.367 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.368 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
28.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
28.368 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
28.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.368 * [taylor]: Taking taylor expansion of 2.0 in th
28.368 * [backup-simplify]: Simplify 2.0 into 2.0
28.368 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.370 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.372 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
28.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.374 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.374 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.374 * [taylor]: Taking taylor expansion of -1 in th
28.374 * [backup-simplify]: Simplify -1 into -1
28.374 * [taylor]: Taking taylor expansion of th in th
28.374 * [backup-simplify]: Simplify 0 into 0
28.374 * [backup-simplify]: Simplify 1 into 1
28.375 * [backup-simplify]: Simplify (/ -1 1) into -1
28.375 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.376 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.377 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
28.377 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
28.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.379 * [backup-simplify]: Simplify (+ 0 0) into 0
28.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.380 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
28.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
28.382 * [backup-simplify]: Simplify (- 0) into 0
28.382 * [backup-simplify]: Simplify (+ 0 0) into 0
28.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
28.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.386 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
28.386 * [taylor]: Taking taylor expansion of 0 in a2
28.386 * [backup-simplify]: Simplify 0 into 0
28.386 * [backup-simplify]: Simplify (+ 0) into 0
28.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.386 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
28.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
28.387 * [backup-simplify]: Simplify (- 0) into 0
28.388 * [backup-simplify]: Simplify (+ 0 0) into 0
28.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
28.389 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
28.389 * [taylor]: Taking taylor expansion of 0 in th
28.389 * [backup-simplify]: Simplify 0 into 0
28.389 * [backup-simplify]: Simplify 0 into 0
28.389 * [taylor]: Taking taylor expansion of 0 in th
28.389 * [backup-simplify]: Simplify 0 into 0
28.389 * [backup-simplify]: Simplify 0 into 0
28.390 * [backup-simplify]: Simplify (+ 0) into 0
28.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.390 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
28.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
28.391 * [backup-simplify]: Simplify (- 0) into 0
28.391 * [backup-simplify]: Simplify (+ 0 0) into 0
28.392 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
28.392 * [taylor]: Taking taylor expansion of 0 in th
28.392 * [backup-simplify]: Simplify 0 into 0
28.392 * [backup-simplify]: Simplify 0 into 0
28.392 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
28.392 * [backup-simplify]: Simplify 0 into 0
28.393 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
28.393 * [backup-simplify]: Simplify 0 into 0
28.393 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
28.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.395 * [backup-simplify]: Simplify (+ 0 0) into 0
28.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
28.397 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.397 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.398 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
28.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
28.398 * [backup-simplify]: Simplify (- 0) into 0
28.399 * [backup-simplify]: Simplify (+ 0 0) into 0
28.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
28.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.401 * [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
28.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.409 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
28.409 * [taylor]: Taking taylor expansion of 0 in a2
28.409 * [backup-simplify]: Simplify 0 into 0
28.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.411 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.413 * [backup-simplify]: Simplify (- 0) into 0
28.413 * [backup-simplify]: Simplify (+ 0 0) into 0
28.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
28.421 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
28.421 * [taylor]: Taking taylor expansion of 0 in th
28.421 * [backup-simplify]: Simplify 0 into 0
28.421 * [backup-simplify]: Simplify 0 into 0
28.425 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (* (sqrt (/ 1 (sqrt 2.0))) (* (pow a1 2) (cos th))))
28.425 * * * * [progress]: [ 2 / 4 ] generating series at (2)
28.427 * [backup-simplify]: Simplify (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
28.427 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
28.427 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
28.427 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
28.427 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
28.427 * [taylor]: Taking taylor expansion of (pow a2 2) in th
28.427 * [taylor]: Taking taylor expansion of a2 in th
28.427 * [backup-simplify]: Simplify a2 into a2
28.427 * [taylor]: Taking taylor expansion of (pow a1 2) in th
28.427 * [taylor]: Taking taylor expansion of a1 in th
28.427 * [backup-simplify]: Simplify a1 into a1
28.427 * [taylor]: Taking taylor expansion of (cos th) in th
28.427 * [taylor]: Taking taylor expansion of th in th
28.427 * [backup-simplify]: Simplify 0 into 0
28.427 * [backup-simplify]: Simplify 1 into 1
28.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.427 * [taylor]: Taking taylor expansion of 2.0 in th
28.427 * [backup-simplify]: Simplify 2.0 into 2.0
28.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.428 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.429 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.429 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
28.429 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
28.430 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
28.430 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
28.430 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
28.430 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
28.430 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.430 * [taylor]: Taking taylor expansion of a2 in a2
28.430 * [backup-simplify]: Simplify 0 into 0
28.430 * [backup-simplify]: Simplify 1 into 1
28.430 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.430 * [taylor]: Taking taylor expansion of a1 in a2
28.430 * [backup-simplify]: Simplify a1 into a1
28.430 * [taylor]: Taking taylor expansion of (cos th) in a2
28.430 * [taylor]: Taking taylor expansion of th in a2
28.430 * [backup-simplify]: Simplify th into th
28.430 * [backup-simplify]: Simplify (cos th) into (cos th)
28.430 * [backup-simplify]: Simplify (sin th) into (sin th)
28.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.431 * [taylor]: Taking taylor expansion of 2.0 in a2
28.431 * [backup-simplify]: Simplify 2.0 into 2.0
28.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.432 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.432 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
28.432 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.432 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.433 * [backup-simplify]: Simplify (- 0) into 0
28.433 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.433 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
28.434 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
28.434 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
28.434 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
28.434 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
28.434 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.434 * [taylor]: Taking taylor expansion of a2 in a1
28.434 * [backup-simplify]: Simplify a2 into a2
28.434 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.434 * [taylor]: Taking taylor expansion of a1 in a1
28.434 * [backup-simplify]: Simplify 0 into 0
28.434 * [backup-simplify]: Simplify 1 into 1
28.434 * [taylor]: Taking taylor expansion of (cos th) in a1
28.434 * [taylor]: Taking taylor expansion of th in a1
28.434 * [backup-simplify]: Simplify th into th
28.434 * [backup-simplify]: Simplify (cos th) into (cos th)
28.434 * [backup-simplify]: Simplify (sin th) into (sin th)
28.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.434 * [taylor]: Taking taylor expansion of 2.0 in a1
28.434 * [backup-simplify]: Simplify 2.0 into 2.0
28.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.436 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.436 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
28.436 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.436 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.436 * [backup-simplify]: Simplify (- 0) into 0
28.436 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.437 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
28.437 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
28.437 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
28.437 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
28.437 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
28.437 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.437 * [taylor]: Taking taylor expansion of a2 in a1
28.438 * [backup-simplify]: Simplify a2 into a2
28.438 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.438 * [taylor]: Taking taylor expansion of a1 in a1
28.438 * [backup-simplify]: Simplify 0 into 0
28.438 * [backup-simplify]: Simplify 1 into 1
28.438 * [taylor]: Taking taylor expansion of (cos th) in a1
28.438 * [taylor]: Taking taylor expansion of th in a1
28.438 * [backup-simplify]: Simplify th into th
28.438 * [backup-simplify]: Simplify (cos th) into (cos th)
28.438 * [backup-simplify]: Simplify (sin th) into (sin th)
28.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.438 * [taylor]: Taking taylor expansion of 2.0 in a1
28.438 * [backup-simplify]: Simplify 2.0 into 2.0
28.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.439 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.439 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
28.440 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.440 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.440 * [backup-simplify]: Simplify (- 0) into 0
28.440 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.440 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
28.441 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
28.441 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
28.441 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
28.441 * [taylor]: Taking taylor expansion of (cos th) in a2
28.441 * [taylor]: Taking taylor expansion of th in a2
28.441 * [backup-simplify]: Simplify th into th
28.441 * [backup-simplify]: Simplify (cos th) into (cos th)
28.441 * [backup-simplify]: Simplify (sin th) into (sin th)
28.441 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.441 * [taylor]: Taking taylor expansion of a2 in a2
28.441 * [backup-simplify]: Simplify 0 into 0
28.441 * [backup-simplify]: Simplify 1 into 1
28.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.441 * [taylor]: Taking taylor expansion of 2.0 in a2
28.441 * [backup-simplify]: Simplify 2.0 into 2.0
28.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.443 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.443 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.443 * [backup-simplify]: Simplify (- 0) into 0
28.443 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.444 * [backup-simplify]: Simplify (* 1 1) into 1
28.444 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.444 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
28.445 * [backup-simplify]: Simplify (+ 0) into 0
28.445 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.447 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
28.447 * [backup-simplify]: Simplify (- 0) into 0
28.447 * [backup-simplify]: Simplify (+ 0 0) into 0
28.447 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.448 * [backup-simplify]: Simplify (+ 0 0) into 0
28.448 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
28.450 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.450 * [taylor]: Taking taylor expansion of 0 in a2
28.450 * [backup-simplify]: Simplify 0 into 0
28.450 * [taylor]: Taking taylor expansion of 0 in th
28.450 * [backup-simplify]: Simplify 0 into 0
28.450 * [backup-simplify]: Simplify 0 into 0
28.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.452 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
28.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.453 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
28.454 * [backup-simplify]: Simplify (- 0) into 0
28.454 * [backup-simplify]: Simplify (+ 0 0) into 0
28.455 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.455 * [backup-simplify]: Simplify (* 1 1) into 1
28.455 * [backup-simplify]: Simplify (+ 0 1) into 1
28.456 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
28.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.459 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
28.459 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
28.460 * [taylor]: Taking taylor expansion of (cos th) in a2
28.460 * [taylor]: Taking taylor expansion of th in a2
28.460 * [backup-simplify]: Simplify th into th
28.460 * [backup-simplify]: Simplify (cos th) into (cos th)
28.460 * [backup-simplify]: Simplify (sin th) into (sin th)
28.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.460 * [taylor]: Taking taylor expansion of 2.0 in a2
28.460 * [backup-simplify]: Simplify 2.0 into 2.0
28.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.461 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
28.461 * [backup-simplify]: Simplify (* (sin th) 0) into 0
28.462 * [backup-simplify]: Simplify (- 0) into 0
28.462 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
28.462 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
28.462 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
28.462 * [taylor]: Taking taylor expansion of (cos th) in th
28.462 * [taylor]: Taking taylor expansion of th in th
28.462 * [backup-simplify]: Simplify 0 into 0
28.462 * [backup-simplify]: Simplify 1 into 1
28.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.462 * [taylor]: Taking taylor expansion of 2.0 in th
28.462 * [backup-simplify]: Simplify 2.0 into 2.0
28.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.464 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.466 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.466 * [taylor]: Taking taylor expansion of 0 in th
28.466 * [backup-simplify]: Simplify 0 into 0
28.466 * [backup-simplify]: Simplify 0 into 0
28.466 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
28.466 * [taylor]: Taking taylor expansion of (cos th) in th
28.466 * [taylor]: Taking taylor expansion of th in th
28.466 * [backup-simplify]: Simplify 0 into 0
28.466 * [backup-simplify]: Simplify 1 into 1
28.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.466 * [taylor]: Taking taylor expansion of 2.0 in th
28.466 * [backup-simplify]: Simplify 2.0 into 2.0
28.466 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.468 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.469 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
28.469 * [backup-simplify]: Simplify 0 into 0
28.470 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.471 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
28.474 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
28.474 * [backup-simplify]: Simplify (- 0) into 0
28.474 * [backup-simplify]: Simplify (+ 0 0) into 0
28.475 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
28.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.476 * [backup-simplify]: Simplify (+ 0 0) into 0
28.477 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
28.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.481 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.481 * [taylor]: Taking taylor expansion of 0 in a2
28.481 * [backup-simplify]: Simplify 0 into 0
28.481 * [taylor]: Taking taylor expansion of 0 in th
28.481 * [backup-simplify]: Simplify 0 into 0
28.481 * [backup-simplify]: Simplify 0 into 0
28.481 * [backup-simplify]: Simplify (+ 0) into 0
28.482 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.482 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
28.483 * [backup-simplify]: Simplify (- 0) into 0
28.483 * [backup-simplify]: Simplify (+ 0 0) into 0
28.484 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.484 * [taylor]: Taking taylor expansion of 0 in th
28.484 * [backup-simplify]: Simplify 0 into 0
28.484 * [backup-simplify]: Simplify 0 into 0
28.484 * [taylor]: Taking taylor expansion of 0 in th
28.484 * [backup-simplify]: Simplify 0 into 0
28.484 * [backup-simplify]: Simplify 0 into 0
28.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.484 * [backup-simplify]: Simplify (+ 0) into 0
28.485 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.486 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
28.486 * [backup-simplify]: Simplify (- 0) into 0
28.486 * [backup-simplify]: Simplify (+ 0 0) into 0
28.486 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
28.487 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.487 * [taylor]: Taking taylor expansion of 0 in th
28.487 * [backup-simplify]: Simplify 0 into 0
28.487 * [backup-simplify]: Simplify 0 into 0
28.488 * [backup-simplify]: Simplify (+ 0) into 0
28.488 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.488 * [backup-simplify]: Simplify 0 into 0
28.490 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
28.491 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 th)))) (sqrt (sqrt 2.0))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
28.491 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
28.491 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
28.491 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
28.491 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.491 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.491 * [taylor]: Taking taylor expansion of th in th
28.491 * [backup-simplify]: Simplify 0 into 0
28.491 * [backup-simplify]: Simplify 1 into 1
28.491 * [backup-simplify]: Simplify (/ 1 1) into 1
28.491 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
28.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
28.491 * [taylor]: Taking taylor expansion of (pow a2 2) in th
28.491 * [taylor]: Taking taylor expansion of a2 in th
28.491 * [backup-simplify]: Simplify a2 into a2
28.491 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.491 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
28.492 * [taylor]: Taking taylor expansion of (pow a1 2) in th
28.492 * [taylor]: Taking taylor expansion of a1 in th
28.492 * [backup-simplify]: Simplify a1 into a1
28.492 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.492 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.492 * [taylor]: Taking taylor expansion of 2.0 in th
28.492 * [backup-simplify]: Simplify 2.0 into 2.0
28.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.493 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
28.493 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
28.493 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
28.493 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
28.493 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
28.493 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
28.493 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
28.493 * [taylor]: Taking taylor expansion of th in a2
28.493 * [backup-simplify]: Simplify th into th
28.494 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.494 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.494 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
28.494 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.494 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.494 * [taylor]: Taking taylor expansion of a2 in a2
28.494 * [backup-simplify]: Simplify 0 into 0
28.494 * [backup-simplify]: Simplify 1 into 1
28.494 * [backup-simplify]: Simplify (* 1 1) into 1
28.494 * [backup-simplify]: Simplify (/ 1 1) into 1
28.494 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
28.494 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.494 * [taylor]: Taking taylor expansion of a1 in a2
28.494 * [backup-simplify]: Simplify a1 into a1
28.494 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.495 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.495 * [taylor]: Taking taylor expansion of 2.0 in a2
28.495 * [backup-simplify]: Simplify 2.0 into 2.0
28.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.495 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.495 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.496 * [backup-simplify]: Simplify (- 0) into 0
28.496 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.496 * [backup-simplify]: Simplify (+ 1 0) into 1
28.496 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.497 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.497 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
28.497 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.497 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
28.497 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
28.497 * [taylor]: Taking taylor expansion of th in a1
28.497 * [backup-simplify]: Simplify th into th
28.497 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.497 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.497 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.497 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.497 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.497 * [taylor]: Taking taylor expansion of a2 in a1
28.497 * [backup-simplify]: Simplify a2 into a2
28.497 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.497 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.497 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.497 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.497 * [taylor]: Taking taylor expansion of a1 in a1
28.497 * [backup-simplify]: Simplify 0 into 0
28.497 * [backup-simplify]: Simplify 1 into 1
28.498 * [backup-simplify]: Simplify (* 1 1) into 1
28.498 * [backup-simplify]: Simplify (/ 1 1) into 1
28.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.498 * [taylor]: Taking taylor expansion of 2.0 in a1
28.498 * [backup-simplify]: Simplify 2.0 into 2.0
28.498 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.499 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.499 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.499 * [backup-simplify]: Simplify (- 0) into 0
28.499 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.499 * [backup-simplify]: Simplify (+ 0 1) into 1
28.499 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.500 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.500 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
28.500 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.500 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
28.500 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
28.500 * [taylor]: Taking taylor expansion of th in a1
28.500 * [backup-simplify]: Simplify th into th
28.500 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.500 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.500 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.500 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.500 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.500 * [taylor]: Taking taylor expansion of a2 in a1
28.500 * [backup-simplify]: Simplify a2 into a2
28.500 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.500 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.500 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.500 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.500 * [taylor]: Taking taylor expansion of a1 in a1
28.500 * [backup-simplify]: Simplify 0 into 0
28.500 * [backup-simplify]: Simplify 1 into 1
28.500 * [backup-simplify]: Simplify (* 1 1) into 1
28.501 * [backup-simplify]: Simplify (/ 1 1) into 1
28.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.501 * [taylor]: Taking taylor expansion of 2.0 in a1
28.501 * [backup-simplify]: Simplify 2.0 into 2.0
28.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.501 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.502 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.502 * [backup-simplify]: Simplify (- 0) into 0
28.502 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.502 * [backup-simplify]: Simplify (+ 0 1) into 1
28.502 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.502 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.503 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
28.503 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
28.503 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
28.503 * [taylor]: Taking taylor expansion of th in a2
28.503 * [backup-simplify]: Simplify th into th
28.503 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.503 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.503 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.503 * [taylor]: Taking taylor expansion of 2.0 in a2
28.503 * [backup-simplify]: Simplify 2.0 into 2.0
28.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.504 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.504 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.504 * [backup-simplify]: Simplify (- 0) into 0
28.504 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.504 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.505 * [backup-simplify]: Simplify (+ 0 0) into 0
28.506 * [backup-simplify]: Simplify (+ 0) into 0
28.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
28.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
28.507 * [backup-simplify]: Simplify (- 0) into 0
28.507 * [backup-simplify]: Simplify (+ 0 0) into 0
28.507 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.508 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.508 * [taylor]: Taking taylor expansion of 0 in a2
28.508 * [backup-simplify]: Simplify 0 into 0
28.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.510 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
28.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.511 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.512 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.512 * [backup-simplify]: Simplify (- 0) into 0
28.512 * [backup-simplify]: Simplify (+ 0 0) into 0
28.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
28.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.516 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
28.516 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
28.516 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
28.516 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
28.516 * [taylor]: Taking taylor expansion of th in a2
28.516 * [backup-simplify]: Simplify th into th
28.516 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
28.517 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.517 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
28.517 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
28.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.517 * [taylor]: Taking taylor expansion of 2.0 in a2
28.517 * [backup-simplify]: Simplify 2.0 into 2.0
28.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.518 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.518 * [taylor]: Taking taylor expansion of a2 in a2
28.518 * [backup-simplify]: Simplify 0 into 0
28.518 * [backup-simplify]: Simplify 1 into 1
28.518 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
28.518 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
28.518 * [backup-simplify]: Simplify (- 0) into 0
28.518 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
28.519 * [backup-simplify]: Simplify (* 1 1) into 1
28.520 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
28.520 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.520 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
28.520 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.520 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.520 * [taylor]: Taking taylor expansion of th in th
28.520 * [backup-simplify]: Simplify 0 into 0
28.520 * [backup-simplify]: Simplify 1 into 1
28.520 * [backup-simplify]: Simplify (/ 1 1) into 1
28.521 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.521 * [taylor]: Taking taylor expansion of 2.0 in th
28.521 * [backup-simplify]: Simplify 2.0 into 2.0
28.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.522 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.522 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.522 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
28.523 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.523 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.523 * [taylor]: Taking taylor expansion of th in th
28.523 * [backup-simplify]: Simplify 0 into 0
28.523 * [backup-simplify]: Simplify 1 into 1
28.523 * [backup-simplify]: Simplify (/ 1 1) into 1
28.523 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.523 * [taylor]: Taking taylor expansion of 2.0 in th
28.523 * [backup-simplify]: Simplify 2.0 into 2.0
28.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.524 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.525 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
28.525 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
28.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.527 * [backup-simplify]: Simplify (+ 0 0) into 0
28.528 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.531 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
28.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
28.531 * [backup-simplify]: Simplify (- 0) into 0
28.532 * [backup-simplify]: Simplify (+ 0 0) into 0
28.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
28.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.542 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
28.542 * [taylor]: Taking taylor expansion of 0 in a2
28.542 * [backup-simplify]: Simplify 0 into 0
28.543 * [backup-simplify]: Simplify (+ 0) into 0
28.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
28.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
28.545 * [backup-simplify]: Simplify (- 0) into 0
28.545 * [backup-simplify]: Simplify (+ 0 0) into 0
28.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.546 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
28.548 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.548 * [taylor]: Taking taylor expansion of 0 in th
28.548 * [backup-simplify]: Simplify 0 into 0
28.548 * [backup-simplify]: Simplify 0 into 0
28.548 * [taylor]: Taking taylor expansion of 0 in th
28.548 * [backup-simplify]: Simplify 0 into 0
28.548 * [backup-simplify]: Simplify 0 into 0
28.548 * [backup-simplify]: Simplify (+ 0) into 0
28.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
28.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
28.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
28.551 * [backup-simplify]: Simplify (- 0) into 0
28.551 * [backup-simplify]: Simplify (+ 0 0) into 0
28.553 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.553 * [taylor]: Taking taylor expansion of 0 in th
28.553 * [backup-simplify]: Simplify 0 into 0
28.553 * [backup-simplify]: Simplify 0 into 0
28.554 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.554 * [backup-simplify]: Simplify 0 into 0
28.555 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.556 * [backup-simplify]: Simplify 0 into 0
28.556 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
28.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.559 * [backup-simplify]: Simplify (+ 0 0) into 0
28.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
28.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
28.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
28.564 * [backup-simplify]: Simplify (- 0) into 0
28.564 * [backup-simplify]: Simplify (+ 0 0) into 0
28.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
28.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.570 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.570 * [taylor]: Taking taylor expansion of 0 in a2
28.570 * [backup-simplify]: Simplify 0 into 0
28.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.572 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.573 * [backup-simplify]: Simplify (- 0) into 0
28.573 * [backup-simplify]: Simplify (+ 0 0) into 0
28.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.575 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
28.577 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.577 * [taylor]: Taking taylor expansion of 0 in th
28.577 * [backup-simplify]: Simplify 0 into 0
28.577 * [backup-simplify]: Simplify 0 into 0
28.578 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
28.579 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th))))) (sqrt (sqrt 2.0))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
28.579 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
28.579 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
28.579 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
28.579 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.579 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.579 * [taylor]: Taking taylor expansion of -1 in th
28.579 * [backup-simplify]: Simplify -1 into -1
28.579 * [taylor]: Taking taylor expansion of th in th
28.579 * [backup-simplify]: Simplify 0 into 0
28.579 * [backup-simplify]: Simplify 1 into 1
28.579 * [backup-simplify]: Simplify (/ -1 1) into -1
28.580 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
28.580 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
28.580 * [taylor]: Taking taylor expansion of (pow a2 2) in th
28.580 * [taylor]: Taking taylor expansion of a2 in th
28.580 * [backup-simplify]: Simplify a2 into a2
28.580 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.580 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.580 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
28.580 * [taylor]: Taking taylor expansion of (pow a1 2) in th
28.580 * [taylor]: Taking taylor expansion of a1 in th
28.580 * [backup-simplify]: Simplify a1 into a1
28.580 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.580 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.580 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.580 * [taylor]: Taking taylor expansion of 2.0 in th
28.580 * [backup-simplify]: Simplify 2.0 into 2.0
28.580 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.581 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
28.581 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
28.582 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
28.582 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
28.582 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
28.582 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
28.582 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
28.582 * [taylor]: Taking taylor expansion of -1 in a2
28.582 * [backup-simplify]: Simplify -1 into -1
28.582 * [taylor]: Taking taylor expansion of th in a2
28.582 * [backup-simplify]: Simplify th into th
28.582 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.582 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.582 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
28.582 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.582 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.582 * [taylor]: Taking taylor expansion of a2 in a2
28.582 * [backup-simplify]: Simplify 0 into 0
28.582 * [backup-simplify]: Simplify 1 into 1
28.582 * [backup-simplify]: Simplify (* 1 1) into 1
28.582 * [backup-simplify]: Simplify (/ 1 1) into 1
28.582 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
28.582 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.582 * [taylor]: Taking taylor expansion of a1 in a2
28.582 * [backup-simplify]: Simplify a1 into a1
28.583 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.583 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.583 * [taylor]: Taking taylor expansion of 2.0 in a2
28.583 * [backup-simplify]: Simplify 2.0 into 2.0
28.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.583 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.583 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.584 * [backup-simplify]: Simplify (- 0) into 0
28.584 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.584 * [backup-simplify]: Simplify (+ 1 0) into 1
28.584 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.584 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.584 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
28.584 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.584 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
28.585 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
28.585 * [taylor]: Taking taylor expansion of -1 in a1
28.585 * [backup-simplify]: Simplify -1 into -1
28.585 * [taylor]: Taking taylor expansion of th in a1
28.585 * [backup-simplify]: Simplify th into th
28.585 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.585 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.585 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.585 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.585 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.585 * [taylor]: Taking taylor expansion of a2 in a1
28.585 * [backup-simplify]: Simplify a2 into a2
28.585 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.585 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.585 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.585 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.585 * [taylor]: Taking taylor expansion of a1 in a1
28.585 * [backup-simplify]: Simplify 0 into 0
28.585 * [backup-simplify]: Simplify 1 into 1
28.585 * [backup-simplify]: Simplify (* 1 1) into 1
28.585 * [backup-simplify]: Simplify (/ 1 1) into 1
28.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.586 * [taylor]: Taking taylor expansion of 2.0 in a1
28.586 * [backup-simplify]: Simplify 2.0 into 2.0
28.586 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.586 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.586 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.587 * [backup-simplify]: Simplify (- 0) into 0
28.587 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.587 * [backup-simplify]: Simplify (+ 0 1) into 1
28.587 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.587 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.587 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
28.587 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
28.587 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
28.587 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
28.587 * [taylor]: Taking taylor expansion of -1 in a1
28.587 * [backup-simplify]: Simplify -1 into -1
28.587 * [taylor]: Taking taylor expansion of th in a1
28.587 * [backup-simplify]: Simplify th into th
28.587 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.587 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.588 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.588 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.588 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.588 * [taylor]: Taking taylor expansion of a2 in a1
28.588 * [backup-simplify]: Simplify a2 into a2
28.588 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.588 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.588 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.588 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.588 * [taylor]: Taking taylor expansion of a1 in a1
28.588 * [backup-simplify]: Simplify 0 into 0
28.588 * [backup-simplify]: Simplify 1 into 1
28.588 * [backup-simplify]: Simplify (* 1 1) into 1
28.588 * [backup-simplify]: Simplify (/ 1 1) into 1
28.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
28.588 * [taylor]: Taking taylor expansion of 2.0 in a1
28.588 * [backup-simplify]: Simplify 2.0 into 2.0
28.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.589 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.589 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.589 * [backup-simplify]: Simplify (- 0) into 0
28.589 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.590 * [backup-simplify]: Simplify (+ 0 1) into 1
28.590 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.590 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.590 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
28.590 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
28.590 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
28.590 * [taylor]: Taking taylor expansion of -1 in a2
28.590 * [backup-simplify]: Simplify -1 into -1
28.590 * [taylor]: Taking taylor expansion of th in a2
28.590 * [backup-simplify]: Simplify th into th
28.590 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.590 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.590 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.590 * [taylor]: Taking taylor expansion of 2.0 in a2
28.590 * [backup-simplify]: Simplify 2.0 into 2.0
28.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.591 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.591 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.591 * [backup-simplify]: Simplify (- 0) into 0
28.592 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.592 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.593 * [backup-simplify]: Simplify (+ 0 0) into 0
28.593 * [backup-simplify]: Simplify (+ 0) into 0
28.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.594 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
28.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
28.595 * [backup-simplify]: Simplify (- 0) into 0
28.595 * [backup-simplify]: Simplify (+ 0 0) into 0
28.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.596 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.596 * [taylor]: Taking taylor expansion of 0 in a2
28.596 * [backup-simplify]: Simplify 0 into 0
28.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.597 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
28.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.598 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.598 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.599 * [backup-simplify]: Simplify (- 0) into 0
28.600 * [backup-simplify]: Simplify (+ 0 0) into 0
28.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
28.602 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.603 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
28.604 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
28.604 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
28.604 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
28.604 * [taylor]: Taking taylor expansion of -1 in a2
28.604 * [backup-simplify]: Simplify -1 into -1
28.604 * [taylor]: Taking taylor expansion of th in a2
28.604 * [backup-simplify]: Simplify th into th
28.604 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
28.604 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.604 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
28.604 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
28.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
28.604 * [taylor]: Taking taylor expansion of 2.0 in a2
28.604 * [backup-simplify]: Simplify 2.0 into 2.0
28.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.605 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.605 * [taylor]: Taking taylor expansion of a2 in a2
28.605 * [backup-simplify]: Simplify 0 into 0
28.605 * [backup-simplify]: Simplify 1 into 1
28.605 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
28.605 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
28.606 * [backup-simplify]: Simplify (- 0) into 0
28.606 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
28.606 * [backup-simplify]: Simplify (* 1 1) into 1
28.607 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
28.607 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.607 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
28.607 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.607 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.607 * [taylor]: Taking taylor expansion of -1 in th
28.607 * [backup-simplify]: Simplify -1 into -1
28.607 * [taylor]: Taking taylor expansion of th in th
28.607 * [backup-simplify]: Simplify 0 into 0
28.607 * [backup-simplify]: Simplify 1 into 1
28.608 * [backup-simplify]: Simplify (/ -1 1) into -1
28.608 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.608 * [taylor]: Taking taylor expansion of 2.0 in th
28.608 * [backup-simplify]: Simplify 2.0 into 2.0
28.608 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.609 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.610 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.610 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
28.610 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.610 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.610 * [taylor]: Taking taylor expansion of -1 in th
28.610 * [backup-simplify]: Simplify -1 into -1
28.610 * [taylor]: Taking taylor expansion of th in th
28.610 * [backup-simplify]: Simplify 0 into 0
28.610 * [backup-simplify]: Simplify 1 into 1
28.610 * [backup-simplify]: Simplify (/ -1 1) into -1
28.611 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.611 * [taylor]: Taking taylor expansion of 2.0 in th
28.611 * [backup-simplify]: Simplify 2.0 into 2.0
28.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.612 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.612 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
28.613 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
28.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.615 * [backup-simplify]: Simplify (+ 0 0) into 0
28.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.617 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
28.619 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
28.619 * [backup-simplify]: Simplify (- 0) into 0
28.620 * [backup-simplify]: Simplify (+ 0 0) into 0
28.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
28.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
28.624 * [taylor]: Taking taylor expansion of 0 in a2
28.624 * [backup-simplify]: Simplify 0 into 0
28.625 * [backup-simplify]: Simplify (+ 0) into 0
28.625 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.625 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
28.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
28.626 * [backup-simplify]: Simplify (- 0) into 0
28.627 * [backup-simplify]: Simplify (+ 0 0) into 0
28.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.627 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
28.628 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.628 * [taylor]: Taking taylor expansion of 0 in th
28.628 * [backup-simplify]: Simplify 0 into 0
28.628 * [backup-simplify]: Simplify 0 into 0
28.628 * [taylor]: Taking taylor expansion of 0 in th
28.629 * [backup-simplify]: Simplify 0 into 0
28.629 * [backup-simplify]: Simplify 0 into 0
28.629 * [backup-simplify]: Simplify (+ 0) into 0
28.629 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
28.629 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
28.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
28.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
28.630 * [backup-simplify]: Simplify (- 0) into 0
28.630 * [backup-simplify]: Simplify (+ 0 0) into 0
28.631 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.631 * [taylor]: Taking taylor expansion of 0 in th
28.631 * [backup-simplify]: Simplify 0 into 0
28.631 * [backup-simplify]: Simplify 0 into 0
28.632 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.632 * [backup-simplify]: Simplify 0 into 0
28.633 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
28.633 * [backup-simplify]: Simplify 0 into 0
28.634 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
28.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.635 * [backup-simplify]: Simplify (+ 0 0) into 0
28.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
28.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.637 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.638 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
28.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
28.639 * [backup-simplify]: Simplify (- 0) into 0
28.639 * [backup-simplify]: Simplify (+ 0 0) into 0
28.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
28.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.643 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.643 * [taylor]: Taking taylor expansion of 0 in a2
28.643 * [backup-simplify]: Simplify 0 into 0
28.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
28.644 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
28.644 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
28.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
28.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
28.645 * [backup-simplify]: Simplify (- 0) into 0
28.646 * [backup-simplify]: Simplify (+ 0 0) into 0
28.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.647 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
28.654 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
28.654 * [taylor]: Taking taylor expansion of 0 in th
28.654 * [backup-simplify]: Simplify 0 into 0
28.654 * [backup-simplify]: Simplify 0 into 0
28.656 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
28.656 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
28.657 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (cos th)) into (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
28.657 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in (th) around 0
28.657 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in th
28.657 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
28.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.657 * [taylor]: Taking taylor expansion of 2.0 in th
28.657 * [backup-simplify]: Simplify 2.0 into 2.0
28.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.659 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
28.661 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th
28.661 * [taylor]: Taking taylor expansion of (cos th) in th
28.661 * [taylor]: Taking taylor expansion of th in th
28.661 * [backup-simplify]: Simplify 0 into 0
28.661 * [backup-simplify]: Simplify 1 into 1
28.661 * [backup-simplify]: Simplify (/ 1 1) into 1
28.661 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in th
28.661 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
28.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.662 * [taylor]: Taking taylor expansion of 2.0 in th
28.662 * [backup-simplify]: Simplify 2.0 into 2.0
28.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.664 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
28.664 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th
28.664 * [taylor]: Taking taylor expansion of (cos th) in th
28.664 * [taylor]: Taking taylor expansion of th in th
28.665 * [backup-simplify]: Simplify 0 into 0
28.665 * [backup-simplify]: Simplify 1 into 1
28.665 * [backup-simplify]: Simplify (/ 1 1) into 1
28.667 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) 1) into (sqrt (sqrt 2.0))
28.667 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.668 * [backup-simplify]: Simplify (+ 0) into 0
28.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.669 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 1)) into 0
28.669 * [backup-simplify]: Simplify 0 into 0
28.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
28.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
28.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0
28.674 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 1/2) (+ (* 0 0) (* 0 1))) into (* 1/2 (sqrt (sqrt 2.0)))
28.675 * [backup-simplify]: Simplify (* 1/2 (sqrt (sqrt 2.0))) into (* 1/2 (sqrt (sqrt 2.0)))
28.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
28.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
28.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.679 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
28.679 * [backup-simplify]: Simplify 0 into 0
28.681 * [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
28.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 5/24
28.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.686 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 5/24) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into (* 5/24 (sqrt (sqrt 2.0)))
28.687 * [backup-simplify]: Simplify (* 5/24 (sqrt (sqrt 2.0))) into (* 5/24 (sqrt (sqrt 2.0)))
28.689 * [backup-simplify]: Simplify (+ (* (* 5/24 (sqrt (sqrt 2.0))) (pow th 4)) (+ (* (* 1/2 (sqrt (sqrt 2.0))) (pow th 2)) (sqrt (sqrt 2.0)))) into (+ (* 1/2 (* (sqrt (sqrt 2.0)) (pow th 2))) (+ (* 5/24 (* (sqrt (sqrt 2.0)) (pow th 4))) (sqrt (sqrt 2.0))))
28.690 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (cos (/ 1 th))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th))))
28.690 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in (th) around 0
28.690 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in th
28.690 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
28.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.690 * [taylor]: Taking taylor expansion of 2.0 in th
28.690 * [backup-simplify]: Simplify 2.0 into 2.0
28.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.691 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
28.692 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th
28.692 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.692 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.692 * [taylor]: Taking taylor expansion of th in th
28.692 * [backup-simplify]: Simplify 0 into 0
28.692 * [backup-simplify]: Simplify 1 into 1
28.692 * [backup-simplify]: Simplify (/ 1 1) into 1
28.692 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.692 * [backup-simplify]: Simplify (/ 1 (cos (/ 1 th))) into (/ 1 (cos (/ 1 th)))
28.692 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in th
28.692 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
28.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.692 * [taylor]: Taking taylor expansion of 2.0 in th
28.692 * [backup-simplify]: Simplify 2.0 into 2.0
28.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.693 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
28.694 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th
28.694 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
28.694 * [taylor]: Taking taylor expansion of (/ 1 th) in th
28.694 * [taylor]: Taking taylor expansion of th in th
28.694 * [backup-simplify]: Simplify 0 into 0
28.694 * [backup-simplify]: Simplify 1 into 1
28.694 * [backup-simplify]: Simplify (/ 1 1) into 1
28.694 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
28.694 * [backup-simplify]: Simplify (/ 1 (cos (/ 1 th))) into (/ 1 (cos (/ 1 th)))
28.695 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th))))
28.695 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th))))
28.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
28.696 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (/ 1 (cos (/ 1 th))))) into 0
28.696 * [backup-simplify]: Simplify 0 into 0
28.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
28.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0
28.698 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))) into 0
28.698 * [backup-simplify]: Simplify 0 into 0
28.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
28.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.701 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th))))))) into 0
28.701 * [backup-simplify]: Simplify 0 into 0
28.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
28.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.704 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))))) into 0
28.704 * [backup-simplify]: Simplify 0 into 0
28.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
28.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.710 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th))))))))) into 0
28.710 * [backup-simplify]: Simplify 0 into 0
28.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
28.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.716 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))))))) into 0
28.716 * [backup-simplify]: Simplify 0 into 0
28.717 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 (/ 1 th))))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
28.718 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th))))
28.718 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in (th) around 0
28.718 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in th
28.718 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
28.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.718 * [taylor]: Taking taylor expansion of 2.0 in th
28.718 * [backup-simplify]: Simplify 2.0 into 2.0
28.718 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.720 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
28.721 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th
28.721 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.721 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.721 * [taylor]: Taking taylor expansion of -1 in th
28.721 * [backup-simplify]: Simplify -1 into -1
28.721 * [taylor]: Taking taylor expansion of th in th
28.721 * [backup-simplify]: Simplify 0 into 0
28.721 * [backup-simplify]: Simplify 1 into 1
28.721 * [backup-simplify]: Simplify (/ -1 1) into -1
28.721 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.722 * [backup-simplify]: Simplify (/ 1 (cos (/ -1 th))) into (/ 1 (cos (/ -1 th)))
28.722 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in th
28.722 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
28.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
28.722 * [taylor]: Taking taylor expansion of 2.0 in th
28.722 * [backup-simplify]: Simplify 2.0 into 2.0
28.722 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
28.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
28.724 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
28.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
28.724 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th
28.724 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
28.724 * [taylor]: Taking taylor expansion of (/ -1 th) in th
28.724 * [taylor]: Taking taylor expansion of -1 in th
28.724 * [backup-simplify]: Simplify -1 into -1
28.724 * [taylor]: Taking taylor expansion of th in th
28.724 * [backup-simplify]: Simplify 0 into 0
28.724 * [backup-simplify]: Simplify 1 into 1
28.725 * [backup-simplify]: Simplify (/ -1 1) into -1
28.725 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
28.725 * [backup-simplify]: Simplify (/ 1 (cos (/ -1 th))) into (/ 1 (cos (/ -1 th)))
28.725 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th))))
28.726 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th))))
28.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
28.727 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (/ 1 (cos (/ -1 th))))) into 0
28.727 * [backup-simplify]: Simplify 0 into 0
28.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
28.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
28.728 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0
28.729 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))) into 0
28.729 * [backup-simplify]: Simplify 0 into 0
28.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
28.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.731 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th))))))) into 0
28.731 * [backup-simplify]: Simplify 0 into 0
28.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
28.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.734 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))))) into 0
28.734 * [backup-simplify]: Simplify 0 into 0
28.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
28.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.738 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th))))))))) into 0
28.738 * [backup-simplify]: Simplify 0 into 0
28.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
28.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
28.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
28.742 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))))))) into 0
28.742 * [backup-simplify]: Simplify 0 into 0
28.742 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 (/ 1 (- th)))))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
28.742 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
28.742 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
28.742 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
28.742 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
28.742 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.742 * [taylor]: Taking taylor expansion of a2 in a2
28.742 * [backup-simplify]: Simplify 0 into 0
28.742 * [backup-simplify]: Simplify 1 into 1
28.742 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.742 * [taylor]: Taking taylor expansion of a1 in a2
28.742 * [backup-simplify]: Simplify a1 into a1
28.743 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
28.743 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.743 * [taylor]: Taking taylor expansion of a2 in a1
28.743 * [backup-simplify]: Simplify a2 into a2
28.743 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.743 * [taylor]: Taking taylor expansion of a1 in a1
28.743 * [backup-simplify]: Simplify 0 into 0
28.743 * [backup-simplify]: Simplify 1 into 1
28.743 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
28.743 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.743 * [taylor]: Taking taylor expansion of a2 in a1
28.743 * [backup-simplify]: Simplify a2 into a2
28.743 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.743 * [taylor]: Taking taylor expansion of a1 in a1
28.743 * [backup-simplify]: Simplify 0 into 0
28.743 * [backup-simplify]: Simplify 1 into 1
28.743 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.743 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
28.743 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.743 * [taylor]: Taking taylor expansion of a2 in a2
28.743 * [backup-simplify]: Simplify 0 into 0
28.743 * [backup-simplify]: Simplify 1 into 1
28.743 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.743 * [backup-simplify]: Simplify (+ 0 0) into 0
28.743 * [taylor]: Taking taylor expansion of 0 in a2
28.743 * [backup-simplify]: Simplify 0 into 0
28.743 * [backup-simplify]: Simplify 0 into 0
28.744 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.744 * [backup-simplify]: Simplify (* 1 1) into 1
28.744 * [backup-simplify]: Simplify (+ 0 1) into 1
28.744 * [taylor]: Taking taylor expansion of 1 in a2
28.744 * [backup-simplify]: Simplify 1 into 1
28.744 * [backup-simplify]: Simplify 1 into 1
28.744 * [backup-simplify]: Simplify 0 into 0
28.745 * [backup-simplify]: Simplify (* 1 1) into 1
28.745 * [backup-simplify]: Simplify 1 into 1
28.745 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
28.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.746 * [backup-simplify]: Simplify (+ 0 0) into 0
28.746 * [taylor]: Taking taylor expansion of 0 in a2
28.746 * [backup-simplify]: Simplify 0 into 0
28.746 * [backup-simplify]: Simplify 0 into 0
28.746 * [backup-simplify]: Simplify 0 into 0
28.746 * [backup-simplify]: Simplify 0 into 0
28.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.746 * [backup-simplify]: Simplify 0 into 0
28.747 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
28.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.748 * [backup-simplify]: Simplify (+ 0 0) into 0
28.748 * [taylor]: Taking taylor expansion of 0 in a2
28.748 * [backup-simplify]: Simplify 0 into 0
28.748 * [backup-simplify]: Simplify 0 into 0
28.748 * [backup-simplify]: Simplify 0 into 0
28.748 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
28.749 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
28.749 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
28.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
28.749 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.749 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.749 * [taylor]: Taking taylor expansion of a2 in a2
28.749 * [backup-simplify]: Simplify 0 into 0
28.749 * [backup-simplify]: Simplify 1 into 1
28.749 * [backup-simplify]: Simplify (* 1 1) into 1
28.750 * [backup-simplify]: Simplify (/ 1 1) into 1
28.750 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
28.750 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.750 * [taylor]: Taking taylor expansion of a1 in a2
28.750 * [backup-simplify]: Simplify a1 into a1
28.750 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.750 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.750 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.750 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.750 * [taylor]: Taking taylor expansion of a2 in a1
28.750 * [backup-simplify]: Simplify a2 into a2
28.750 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.750 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.750 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.750 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.750 * [taylor]: Taking taylor expansion of a1 in a1
28.750 * [backup-simplify]: Simplify 0 into 0
28.750 * [backup-simplify]: Simplify 1 into 1
28.751 * [backup-simplify]: Simplify (* 1 1) into 1
28.751 * [backup-simplify]: Simplify (/ 1 1) into 1
28.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.751 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.751 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.751 * [taylor]: Taking taylor expansion of a2 in a1
28.751 * [backup-simplify]: Simplify a2 into a2
28.751 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.752 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.752 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.752 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.752 * [taylor]: Taking taylor expansion of a1 in a1
28.752 * [backup-simplify]: Simplify 0 into 0
28.752 * [backup-simplify]: Simplify 1 into 1
28.752 * [backup-simplify]: Simplify (* 1 1) into 1
28.753 * [backup-simplify]: Simplify (/ 1 1) into 1
28.753 * [backup-simplify]: Simplify (+ 0 1) into 1
28.753 * [taylor]: Taking taylor expansion of 1 in a2
28.753 * [backup-simplify]: Simplify 1 into 1
28.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.762 * [backup-simplify]: Simplify (+ 0 0) into 0
28.762 * [taylor]: Taking taylor expansion of 0 in a2
28.762 * [backup-simplify]: Simplify 0 into 0
28.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.764 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
28.764 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.764 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.764 * [taylor]: Taking taylor expansion of a2 in a2
28.764 * [backup-simplify]: Simplify 0 into 0
28.764 * [backup-simplify]: Simplify 1 into 1
28.765 * [backup-simplify]: Simplify (* 1 1) into 1
28.765 * [backup-simplify]: Simplify (/ 1 1) into 1
28.765 * [backup-simplify]: Simplify 1 into 1
28.765 * [backup-simplify]: Simplify 1 into 1
28.765 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
28.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.768 * [backup-simplify]: Simplify (+ 0 0) into 0
28.768 * [taylor]: Taking taylor expansion of 0 in a2
28.768 * [backup-simplify]: Simplify 0 into 0
28.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.769 * [backup-simplify]: Simplify 0 into 0
28.769 * [backup-simplify]: Simplify 0 into 0
28.769 * [backup-simplify]: Simplify 0 into 0
28.769 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
28.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.771 * [backup-simplify]: Simplify (+ 0 0) into 0
28.771 * [taylor]: Taking taylor expansion of 0 in a2
28.771 * [backup-simplify]: Simplify 0 into 0
28.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.772 * [backup-simplify]: Simplify 0 into 0
28.772 * [backup-simplify]: Simplify 0 into 0
28.772 * [backup-simplify]: Simplify 0 into 0
28.773 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
28.773 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
28.773 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
28.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
28.773 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.773 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.773 * [taylor]: Taking taylor expansion of a2 in a2
28.773 * [backup-simplify]: Simplify 0 into 0
28.773 * [backup-simplify]: Simplify 1 into 1
28.773 * [backup-simplify]: Simplify (* 1 1) into 1
28.773 * [backup-simplify]: Simplify (/ 1 1) into 1
28.773 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
28.773 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
28.773 * [taylor]: Taking taylor expansion of a1 in a2
28.773 * [backup-simplify]: Simplify a1 into a1
28.773 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
28.774 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
28.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.774 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.774 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.774 * [taylor]: Taking taylor expansion of a2 in a1
28.774 * [backup-simplify]: Simplify a2 into a2
28.774 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.774 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.774 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.774 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.774 * [taylor]: Taking taylor expansion of a1 in a1
28.774 * [backup-simplify]: Simplify 0 into 0
28.774 * [backup-simplify]: Simplify 1 into 1
28.774 * [backup-simplify]: Simplify (* 1 1) into 1
28.774 * [backup-simplify]: Simplify (/ 1 1) into 1
28.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
28.774 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
28.774 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
28.774 * [taylor]: Taking taylor expansion of a2 in a1
28.774 * [backup-simplify]: Simplify a2 into a2
28.774 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
28.775 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
28.775 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
28.775 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
28.775 * [taylor]: Taking taylor expansion of a1 in a1
28.775 * [backup-simplify]: Simplify 0 into 0
28.775 * [backup-simplify]: Simplify 1 into 1
28.775 * [backup-simplify]: Simplify (* 1 1) into 1
28.775 * [backup-simplify]: Simplify (/ 1 1) into 1
28.775 * [backup-simplify]: Simplify (+ 0 1) into 1
28.775 * [taylor]: Taking taylor expansion of 1 in a2
28.775 * [backup-simplify]: Simplify 1 into 1
28.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.777 * [backup-simplify]: Simplify (+ 0 0) into 0
28.777 * [taylor]: Taking taylor expansion of 0 in a2
28.777 * [backup-simplify]: Simplify 0 into 0
28.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.778 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
28.778 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
28.778 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
28.778 * [taylor]: Taking taylor expansion of a2 in a2
28.778 * [backup-simplify]: Simplify 0 into 0
28.778 * [backup-simplify]: Simplify 1 into 1
28.778 * [backup-simplify]: Simplify (* 1 1) into 1
28.779 * [backup-simplify]: Simplify (/ 1 1) into 1
28.779 * [backup-simplify]: Simplify 1 into 1
28.779 * [backup-simplify]: Simplify 1 into 1
28.779 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
28.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
28.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.781 * [backup-simplify]: Simplify (+ 0 0) into 0
28.781 * [taylor]: Taking taylor expansion of 0 in a2
28.781 * [backup-simplify]: Simplify 0 into 0
28.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.782 * [backup-simplify]: Simplify 0 into 0
28.782 * [backup-simplify]: Simplify 0 into 0
28.782 * [backup-simplify]: Simplify 0 into 0
28.782 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
28.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
28.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.784 * [backup-simplify]: Simplify (+ 0 0) into 0
28.784 * [taylor]: Taking taylor expansion of 0 in a2
28.784 * [backup-simplify]: Simplify 0 into 0
28.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.785 * [backup-simplify]: Simplify 0 into 0
28.785 * [backup-simplify]: Simplify 0 into 0
28.785 * [backup-simplify]: Simplify 0 into 0
28.785 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
28.785 * * * [progress]: simplifying candidates
28.830 * [simplify]: Simplifying:
  (- (log (+ (* a1 a1) (* a2 a2))) (- (log (sqrt (sqrt 2.0))) (log (cos th))))
  (- (log (+ (* a1 a1) (* a2 a2))) (log (/ (sqrt (sqrt 2.0)) (cos th))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (/ (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (cos th) (cos th)) (cos th))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (/ (sqrt (sqrt 2.0)) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (cbrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (cbrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (cbrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (cbrt (sqrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) (sqrt 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))) 1)
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th))) (sqrt (sqrt (cbrt 2.0))))
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  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (* (exp (* a1 a1)) (exp (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
  (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (* (sqrt (/ 1 (sqrt 2.0))) (* (pow a1 2) (cos th))))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (pow a2 2))) (* (sqrt (/ 1 (sqrt 2.0))) (* (pow a1 2) (cos th))))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (* 1/2 (* (sqrt (sqrt 2.0)) (pow th 2))) (+ (* 5/24 (* (sqrt (sqrt 2.0)) (pow th 4))) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
  (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
28.890 * * [simplify]: iteration 0: 1228 enodes
29.732 * * [simplify]: iteration 1: 3555 enodes
30.402 * * [simplify]: iteration complete: 5000 enodes
30.403 * * [simplify]: Extracting #0: cost 777 inf + 0
30.408 * * [simplify]: Extracting #1: cost 2488 inf + 1
30.422 * * [simplify]: Extracting #2: cost 2485 inf + 3946
30.440 * * [simplify]: Extracting #3: cost 2450 inf + 7941
30.474 * * [simplify]: Extracting #4: cost 2212 inf + 54974
30.549 * * [simplify]: Extracting #5: cost 1172 inf + 400810
30.691 * * [simplify]: Extracting #6: cost 132 inf + 872465
30.883 * * [simplify]: Extracting #7: cost 0 inf + 940344
31.098 * [simplify]: Simplified to:
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2.0) (/ (* (cos th) (* (cos th) (cos th))) (sqrt (sqrt 2.0)))))
  (* (/ (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cos th))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (/ (/ 1 (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ 1 (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ 1 (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (* (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ 1 (fabs (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (* (/ 1 (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (* (/ 1 (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ 1 (sqrt (fabs (cbrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (cos th))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (sqrt (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (sqrt (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
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  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
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  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (sqrt (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  1
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  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (sqrt (sqrt 2.0))))
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  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt 2.0)))
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  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
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  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (cbrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (sqrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
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  (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (sqrt 2.0)))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cos th)) (cbrt (sqrt (sqrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cos th)) (sqrt (cbrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt 2.0)))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (cbrt (sqrt 2.0))))
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  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt 2.0)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt 2.0)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (cbrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (fabs (cbrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (cbrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th))))
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  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (sqrt 2.0)) (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt 2.0) (cos th))
  (log (/ (sqrt (sqrt 2.0)) (cos th)))
  (log (/ (sqrt (sqrt 2.0)) (cos th)))
  (exp (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt 2.0) (/ (* (cos th) (* (cos th) (cos th))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (- (sqrt (sqrt 2.0)))
  (- (cos th))
  (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (cos th))
  (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (fabs (cbrt (sqrt 2.0)))
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (sqrt (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt (cbrt 2.0))) (cos th))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  1
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  1
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  1
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (* (* (* a2 a2) (* a2 a2)) (* a2 a2)) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* (* a2 a2) (cos th)) (* (cos th) (* a1 a1))))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* (* a2 a2) (cos th)) (* (cos th) (* a1 a1))))
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (/ (* (* a2 a2) (cos th)) (sqrt 2.0)))
  (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (/ (* (* a2 a2) (cos th)) (sqrt 2.0)))
  (+ (+ (* (* (* th th) (sqrt (sqrt 2.0))) 1/2) (* (* 5/24 (sqrt (sqrt 2.0))) (* (* th th) (* th th)))) (sqrt (sqrt 2.0)))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
31.379 * * * [progress]: adding candidates to table
37.150 * [progress]: [Phase 3 of 3] Extracting.
37.150 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.153 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1)
37.153 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.261 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.333 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.397 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.498 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.575 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th))) (sqrt (sqrt (cbrt 2.0))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))))>)
37.645 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
37.645 * [simplify]: Simplifying:
  (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0)))))
37.645 * * [simplify]: iteration 0: 17 enodes
37.646 * * [simplify]: iteration 1: 21 enodes
37.647 * * [simplify]: iteration complete: 21 enodes
37.647 * * [simplify]: Extracting #0: cost 1 inf + 0
37.647 * * [simplify]: Extracting #1: cost 3 inf + 0
37.647 * * [simplify]: Extracting #2: cost 7 inf + 0
37.647 * * [simplify]: Extracting #3: cost 9 inf + 1
37.647 * * [simplify]: Extracting #4: cost 13 inf + 1
37.648 * * [simplify]: Extracting #5: cost 15 inf + 2
37.648 * * [simplify]: Extracting #6: cost 10 inf + 127
37.648 * * [simplify]: Extracting #7: cost 3 inf + 857
37.648 * * [simplify]: Extracting #8: cost 1 inf + 1665
37.648 * * [simplify]: Extracting #9: cost 0 inf + 2170
37.648 * [simplify]: Simplified to:
  (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt (sqrt 2.0))) (cos th))) (sqrt (sqrt (sqrt 2.0)))))
45.391 * [regime-testing]: Baseline error score: 0.4912474997145101
45.408 * [regime-testing]: Oracle error score: 0.07413426678334792
45.442 * [regime-testing]: End program error score: 0.4912474997145101