30.012 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.203 * * * [progress]: [2/2] Setting up program.
0.212 * [progress]: [Phase 2 of 3] Improving.
0.212 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.212 * * [simplify]: iteration 0: 12 enodes
0.217 * * [simplify]: iteration 1: 25 enodes
0.226 * * [simplify]: iteration 2: 49 enodes
0.241 * * [simplify]: iteration 3: 76 enodes
0.261 * * [simplify]: iteration 4: 95 enodes
0.286 * * [simplify]: iteration 5: 111 enodes
0.328 * * [simplify]: iteration 6: 126 enodes
0.355 * * [simplify]: iteration 7: 142 enodes
0.373 * * [simplify]: iteration complete: 142 enodes
0.374 * * [simplify]: Extracting #0: cost 1 inf + 0
0.374 * * [simplify]: Extracting #1: cost 12 inf + 0
0.374 * * [simplify]: Extracting #2: cost 34 inf + 0
0.374 * * [simplify]: Extracting #3: cost 25 inf + 24
0.374 * * [simplify]: Extracting #4: cost 4 inf + 156
0.374 * * [simplify]: Extracting #5: cost 0 inf + 193
0.374 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
0.381 * * [progress]: iteration 1 / 4
0.381 * * * [progress]: picking best candidate
0.392 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))>
0.392 * * * [progress]: localizing error
0.412 * * * [progress]: generating rewritten candidates
0.413 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.445 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.450 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.463 * * * [progress]: generating series expansions
0.463 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.464 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
0.464 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
0.464 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
0.464 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
0.464 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
0.464 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.464 * [taylor]: Taking taylor expansion of a2 in th
0.464 * [backup-simplify]: Simplify a2 into a2
0.464 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.464 * [taylor]: Taking taylor expansion of a1 in th
0.464 * [backup-simplify]: Simplify a1 into a1
0.464 * [taylor]: Taking taylor expansion of (cos th) in th
0.464 * [taylor]: Taking taylor expansion of th in th
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.464 * [taylor]: Taking taylor expansion of 2.0 in th
0.464 * [backup-simplify]: Simplify 2.0 into 2.0
0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.465 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.466 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
0.466 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
0.466 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
0.467 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
0.467 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
0.467 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.467 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.467 * [taylor]: Taking taylor expansion of a2 in a2
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.467 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.467 * [taylor]: Taking taylor expansion of a1 in a2
0.467 * [backup-simplify]: Simplify a1 into a1
0.467 * [taylor]: Taking taylor expansion of (cos th) in a2
0.467 * [taylor]: Taking taylor expansion of th in a2
0.467 * [backup-simplify]: Simplify th into th
0.467 * [backup-simplify]: Simplify (cos th) into (cos th)
0.467 * [backup-simplify]: Simplify (sin th) into (sin th)
0.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.467 * [taylor]: Taking taylor expansion of 2.0 in a2
0.467 * [backup-simplify]: Simplify 2.0 into 2.0
0.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.469 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
0.469 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.469 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.470 * [backup-simplify]: Simplify (- 0) into 0
0.470 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.470 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
0.471 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.471 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.471 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.471 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.471 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.471 * [taylor]: Taking taylor expansion of a2 in a1
0.471 * [backup-simplify]: Simplify a2 into a2
0.471 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.471 * [taylor]: Taking taylor expansion of a1 in a1
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [taylor]: Taking taylor expansion of (cos th) in a1
0.471 * [taylor]: Taking taylor expansion of th in a1
0.471 * [backup-simplify]: Simplify th into th
0.471 * [backup-simplify]: Simplify (cos th) into (cos th)
0.471 * [backup-simplify]: Simplify (sin th) into (sin th)
0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.471 * [taylor]: Taking taylor expansion of 2.0 in a1
0.472 * [backup-simplify]: Simplify 2.0 into 2.0
0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.473 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.473 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.473 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.473 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.474 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.475 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.475 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.475 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.475 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.475 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.475 * [taylor]: Taking taylor expansion of a2 in a1
0.475 * [backup-simplify]: Simplify a2 into a2
0.475 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.475 * [taylor]: Taking taylor expansion of a1 in a1
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [taylor]: Taking taylor expansion of (cos th) in a1
0.475 * [taylor]: Taking taylor expansion of th in a1
0.475 * [backup-simplify]: Simplify th into th
0.475 * [backup-simplify]: Simplify (cos th) into (cos th)
0.475 * [backup-simplify]: Simplify (sin th) into (sin th)
0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.476 * [taylor]: Taking taylor expansion of 2.0 in a1
0.476 * [backup-simplify]: Simplify 2.0 into 2.0
0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.477 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.477 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.477 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.477 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.478 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.478 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.479 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.479 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.479 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.479 * [taylor]: Taking taylor expansion of (cos th) in a2
0.479 * [taylor]: Taking taylor expansion of th in a2
0.479 * [backup-simplify]: Simplify th into th
0.479 * [backup-simplify]: Simplify (cos th) into (cos th)
0.479 * [backup-simplify]: Simplify (sin th) into (sin th)
0.479 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.479 * [taylor]: Taking taylor expansion of a2 in a2
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.479 * [taylor]: Taking taylor expansion of 2.0 in a2
0.479 * [backup-simplify]: Simplify 2.0 into 2.0
0.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.481 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.481 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.481 * [backup-simplify]: Simplify (- 0) into 0
0.481 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.482 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.483 * [backup-simplify]: Simplify (+ 0) into 0
0.483 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.485 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.488 * [taylor]: Taking taylor expansion of 0 in a2
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [taylor]: Taking taylor expansion of 0 in th
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.490 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.492 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
0.492 * [backup-simplify]: Simplify (- 0) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.493 * [backup-simplify]: Simplify (* 1 1) into 1
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.495 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
0.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.499 * [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))
0.499 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
0.499 * [taylor]: Taking taylor expansion of (cos th) in a2
0.499 * [taylor]: Taking taylor expansion of th in a2
0.499 * [backup-simplify]: Simplify th into th
0.500 * [backup-simplify]: Simplify (cos th) into (cos th)
0.500 * [backup-simplify]: Simplify (sin th) into (sin th)
0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.500 * [taylor]: Taking taylor expansion of 2.0 in a2
0.500 * [backup-simplify]: Simplify 2.0 into 2.0
0.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.501 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.502 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.502 * [backup-simplify]: Simplify (- 0) into 0
0.502 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.503 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.503 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.503 * [taylor]: Taking taylor expansion of (cos th) in th
0.503 * [taylor]: Taking taylor expansion of th in th
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.503 * [taylor]: Taking taylor expansion of 2.0 in th
0.503 * [backup-simplify]: Simplify 2.0 into 2.0
0.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.512 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.512 * [taylor]: Taking taylor expansion of 0 in th
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.512 * [taylor]: Taking taylor expansion of (cos th) in th
0.512 * [taylor]: Taking taylor expansion of th in th
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.512 * [taylor]: Taking taylor expansion of 2.0 in th
0.512 * [backup-simplify]: Simplify 2.0 into 2.0
0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.514 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.515 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.515 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.517 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.519 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.520 * [backup-simplify]: Simplify (- 0) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.527 * [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
0.527 * [taylor]: Taking taylor expansion of 0 in a2
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [taylor]: Taking taylor expansion of 0 in th
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (+ 0) into 0
0.528 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.529 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.529 * [backup-simplify]: Simplify (- 0) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.532 * [taylor]: Taking taylor expansion of 0 in th
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [taylor]: Taking taylor expansion of 0 in th
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (+ 0) into 0
0.534 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.535 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.535 * [backup-simplify]: Simplify (- 0) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.538 * [taylor]: Taking taylor expansion of 0 in th
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ 0) into 0
0.539 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.542 * [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)))
0.542 * [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))
0.542 * [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
0.543 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.543 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.543 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.543 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.543 * [taylor]: Taking taylor expansion of th in th
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.543 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.543 * [taylor]: Taking taylor expansion of a2 in th
0.543 * [backup-simplify]: Simplify a2 into a2
0.544 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.544 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.544 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.544 * [taylor]: Taking taylor expansion of a1 in th
0.544 * [backup-simplify]: Simplify a1 into a1
0.544 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.544 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.544 * [taylor]: Taking taylor expansion of 2.0 in th
0.544 * [backup-simplify]: Simplify 2.0 into 2.0
0.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.546 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.547 * [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))))
0.547 * [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))
0.547 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.547 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.547 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.548 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.548 * [taylor]: Taking taylor expansion of th in a2
0.548 * [backup-simplify]: Simplify th into th
0.548 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.548 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.548 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.548 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.548 * [taylor]: Taking taylor expansion of a2 in a2
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (/ 1 1) into 1
0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.549 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.549 * [taylor]: Taking taylor expansion of a1 in a2
0.549 * [backup-simplify]: Simplify a1 into a1
0.549 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.549 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.549 * [taylor]: Taking taylor expansion of 2.0 in a2
0.549 * [backup-simplify]: Simplify 2.0 into 2.0
0.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.551 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.551 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.551 * [backup-simplify]: Simplify (- 0) into 0
0.551 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.552 * [backup-simplify]: Simplify (+ 1 0) into 1
0.552 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.552 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.552 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.552 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.552 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.552 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.552 * [taylor]: Taking taylor expansion of th in a1
0.552 * [backup-simplify]: Simplify th into th
0.553 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.553 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.553 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.553 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.553 * [taylor]: Taking taylor expansion of a2 in a1
0.553 * [backup-simplify]: Simplify a2 into a2
0.553 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.553 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.553 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.553 * [taylor]: Taking taylor expansion of a1 in a1
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.554 * [taylor]: Taking taylor expansion of 2.0 in a1
0.554 * [backup-simplify]: Simplify 2.0 into 2.0
0.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.554 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.554 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.555 * [backup-simplify]: Simplify (- 0) into 0
0.555 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.555 * [backup-simplify]: Simplify (+ 0 1) into 1
0.555 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.555 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.555 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.555 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.556 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.556 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.556 * [taylor]: Taking taylor expansion of th in a1
0.556 * [backup-simplify]: Simplify th into th
0.556 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.556 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.556 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.556 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.556 * [taylor]: Taking taylor expansion of a2 in a1
0.556 * [backup-simplify]: Simplify a2 into a2
0.556 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.556 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.556 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.556 * [taylor]: Taking taylor expansion of a1 in a1
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 1 into 1
0.556 * [backup-simplify]: Simplify (* 1 1) into 1
0.556 * [backup-simplify]: Simplify (/ 1 1) into 1
0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.557 * [taylor]: Taking taylor expansion of 2.0 in a1
0.557 * [backup-simplify]: Simplify 2.0 into 2.0
0.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.557 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.557 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.558 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.558 * [backup-simplify]: Simplify (+ 0 1) into 1
0.558 * [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)) (sqrt 2.0)) in a2
0.558 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.558 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.558 * [taylor]: Taking taylor expansion of th in a2
0.558 * [backup-simplify]: Simplify th into th
0.558 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.559 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.559 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.559 * [taylor]: Taking taylor expansion of 2.0 in a2
0.559 * [backup-simplify]: Simplify 2.0 into 2.0
0.559 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.559 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.559 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.560 * [backup-simplify]: Simplify (- 0) into 0
0.560 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.560 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.561 * [backup-simplify]: Simplify (+ 0 0) into 0
0.561 * [backup-simplify]: Simplify (+ 0) into 0
0.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.563 * [backup-simplify]: Simplify (- 0) into 0
0.563 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.564 * [taylor]: Taking taylor expansion of 0 in a2
0.564 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.568 * [backup-simplify]: Simplify (- 0) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
0.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.570 * [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)))
0.570 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.570 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.571 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.571 * [taylor]: Taking taylor expansion of th in a2
0.571 * [backup-simplify]: Simplify th into th
0.571 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.571 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.571 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.571 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.571 * [taylor]: Taking taylor expansion of 2.0 in a2
0.571 * [backup-simplify]: Simplify 2.0 into 2.0
0.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.571 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.571 * [taylor]: Taking taylor expansion of a2 in a2
0.571 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.572 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.572 * [backup-simplify]: Simplify (- 0) into 0
0.572 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.573 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.573 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.573 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.573 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.573 * [taylor]: Taking taylor expansion of th in th
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.573 * [taylor]: Taking taylor expansion of 2.0 in th
0.573 * [backup-simplify]: Simplify 2.0 into 2.0
0.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.574 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.575 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.575 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.575 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.575 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.575 * [taylor]: Taking taylor expansion of th in th
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (/ 1 1) into 1
0.575 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.575 * [taylor]: Taking taylor expansion of 2.0 in th
0.575 * [backup-simplify]: Simplify 2.0 into 2.0
0.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.576 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.577 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ 0 0) into 0
0.579 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.579 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.581 * [backup-simplify]: Simplify (- 0) into 0
0.581 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.584 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
0.584 * [taylor]: Taking taylor expansion of 0 in a2
0.584 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (+ 0) into 0
0.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.587 * [backup-simplify]: Simplify (- 0) into 0
0.587 * [backup-simplify]: Simplify (+ 0 0) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.589 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.591 * [taylor]: Taking taylor expansion of 0 in th
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [taylor]: Taking taylor expansion of 0 in th
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify (+ 0) into 0
0.592 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.594 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.596 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.596 * [taylor]: Taking taylor expansion of 0 in th
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (+ 0 0) into 0
0.606 * [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
0.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.609 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.611 * [backup-simplify]: Simplify (- 0) into 0
0.611 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.618 * [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
0.618 * [taylor]: Taking taylor expansion of 0 in a2
0.618 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.622 * [backup-simplify]: Simplify (- 0) into 0
0.622 * [backup-simplify]: Simplify (+ 0 0) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.625 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.628 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.628 * [taylor]: Taking taylor expansion of 0 in th
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 0 into 0
0.629 * [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)))
0.630 * [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))
0.630 * [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
0.630 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.631 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.631 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.631 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.631 * [taylor]: Taking taylor expansion of -1 in th
0.631 * [backup-simplify]: Simplify -1 into -1
0.631 * [taylor]: Taking taylor expansion of th in th
0.631 * [backup-simplify]: Simplify 0 into 0
0.631 * [backup-simplify]: Simplify 1 into 1
0.631 * [backup-simplify]: Simplify (/ -1 1) into -1
0.631 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.631 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.631 * [taylor]: Taking taylor expansion of a2 in th
0.631 * [backup-simplify]: Simplify a2 into a2
0.631 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.632 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.632 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.632 * [taylor]: Taking taylor expansion of a1 in th
0.632 * [backup-simplify]: Simplify a1 into a1
0.632 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.632 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.632 * [taylor]: Taking taylor expansion of 2.0 in th
0.632 * [backup-simplify]: Simplify 2.0 into 2.0
0.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.634 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.635 * [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))))
0.636 * [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))
0.636 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.636 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.636 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.636 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.636 * [taylor]: Taking taylor expansion of -1 in a2
0.636 * [backup-simplify]: Simplify -1 into -1
0.636 * [taylor]: Taking taylor expansion of th in a2
0.636 * [backup-simplify]: Simplify th into th
0.636 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.636 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.636 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.636 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.636 * [taylor]: Taking taylor expansion of a2 in a2
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 1 into 1
0.637 * [backup-simplify]: Simplify (* 1 1) into 1
0.637 * [backup-simplify]: Simplify (/ 1 1) into 1
0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.637 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.637 * [taylor]: Taking taylor expansion of a1 in a2
0.637 * [backup-simplify]: Simplify a1 into a1
0.638 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.638 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.638 * [taylor]: Taking taylor expansion of 2.0 in a2
0.638 * [backup-simplify]: Simplify 2.0 into 2.0
0.638 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.639 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.639 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.640 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.640 * [backup-simplify]: Simplify (+ 1 0) into 1
0.640 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.641 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.641 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.641 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.641 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.641 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.641 * [taylor]: Taking taylor expansion of -1 in a1
0.641 * [backup-simplify]: Simplify -1 into -1
0.641 * [taylor]: Taking taylor expansion of th in a1
0.641 * [backup-simplify]: Simplify th into th
0.641 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.641 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.641 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.641 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.641 * [taylor]: Taking taylor expansion of a2 in a1
0.641 * [backup-simplify]: Simplify a2 into a2
0.642 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.642 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.642 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.642 * [taylor]: Taking taylor expansion of a1 in a1
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [backup-simplify]: Simplify (* 1 1) into 1
0.648 * [backup-simplify]: Simplify (/ 1 1) into 1
0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.648 * [taylor]: Taking taylor expansion of 2.0 in a1
0.648 * [backup-simplify]: Simplify 2.0 into 2.0
0.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.650 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.650 * [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))
0.651 * [backup-simplify]: Simplify (+ 0 1) into 1
0.651 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.652 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.652 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.652 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.652 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.652 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.652 * [taylor]: Taking taylor expansion of -1 in a1
0.652 * [backup-simplify]: Simplify -1 into -1
0.652 * [taylor]: Taking taylor expansion of th in a1
0.652 * [backup-simplify]: Simplify th into th
0.652 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.652 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.652 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.652 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.652 * [taylor]: Taking taylor expansion of a2 in a1
0.652 * [backup-simplify]: Simplify a2 into a2
0.652 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.652 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.653 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.653 * [taylor]: Taking taylor expansion of a1 in a1
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [backup-simplify]: Simplify (* 1 1) into 1
0.654 * [backup-simplify]: Simplify (/ 1 1) into 1
0.654 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.654 * [taylor]: Taking taylor expansion of 2.0 in a1
0.654 * [backup-simplify]: Simplify 2.0 into 2.0
0.654 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.655 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.655 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.655 * [backup-simplify]: Simplify (- 0) into 0
0.656 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.656 * [backup-simplify]: Simplify (+ 0 1) into 1
0.656 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.657 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.657 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
0.657 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.657 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.657 * [taylor]: Taking taylor expansion of -1 in a2
0.657 * [backup-simplify]: Simplify -1 into -1
0.657 * [taylor]: Taking taylor expansion of th in a2
0.657 * [backup-simplify]: Simplify th into th
0.657 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.657 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.657 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.657 * [taylor]: Taking taylor expansion of 2.0 in a2
0.657 * [backup-simplify]: Simplify 2.0 into 2.0
0.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.658 * [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 (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.662 * [backup-simplify]: Simplify (+ 0 0) into 0
0.662 * [backup-simplify]: Simplify (+ 0) into 0
0.663 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.663 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.664 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.665 * [backup-simplify]: Simplify (- 0) into 0
0.665 * [backup-simplify]: Simplify (+ 0 0) into 0
0.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.667 * [taylor]: Taking taylor expansion of 0 in a2
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.669 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.671 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.672 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.673 * [backup-simplify]: Simplify (- 0) into 0
0.674 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
0.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.678 * [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)))
0.678 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.678 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.678 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.678 * [taylor]: Taking taylor expansion of -1 in a2
0.678 * [backup-simplify]: Simplify -1 into -1
0.678 * [taylor]: Taking taylor expansion of th in a2
0.679 * [backup-simplify]: Simplify th into th
0.679 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.679 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.679 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.679 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.679 * [taylor]: Taking taylor expansion of 2.0 in a2
0.679 * [backup-simplify]: Simplify 2.0 into 2.0
0.679 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.680 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.680 * [taylor]: Taking taylor expansion of a2 in a2
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 1 into 1
0.680 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.680 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.681 * [backup-simplify]: Simplify (- 0) into 0
0.681 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.681 * [backup-simplify]: Simplify (* 1 1) into 1
0.682 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.682 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.682 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.682 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.682 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.682 * [taylor]: Taking taylor expansion of -1 in th
0.682 * [backup-simplify]: Simplify -1 into -1
0.682 * [taylor]: Taking taylor expansion of th in th
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (/ -1 1) into -1
0.682 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.683 * [taylor]: Taking taylor expansion of 2.0 in th
0.683 * [backup-simplify]: Simplify 2.0 into 2.0
0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.684 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.684 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.684 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.684 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.684 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.684 * [taylor]: Taking taylor expansion of -1 in th
0.684 * [backup-simplify]: Simplify -1 into -1
0.684 * [taylor]: Taking taylor expansion of th in th
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 1 into 1
0.684 * [backup-simplify]: Simplify (/ -1 1) into -1
0.684 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.684 * [taylor]: Taking taylor expansion of 2.0 in th
0.684 * [backup-simplify]: Simplify 2.0 into 2.0
0.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.685 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.686 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.686 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.688 * [backup-simplify]: Simplify (+ 0 0) into 0
0.688 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.689 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.691 * [backup-simplify]: Simplify (- 0) into 0
0.691 * [backup-simplify]: Simplify (+ 0 0) into 0
0.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.694 * [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
0.694 * [taylor]: Taking taylor expansion of 0 in a2
0.694 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (+ 0) into 0
0.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.695 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.696 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.696 * [backup-simplify]: Simplify (- 0) into 0
0.696 * [backup-simplify]: Simplify (+ 0 0) into 0
0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.697 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.698 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.698 * [taylor]: Taking taylor expansion of 0 in th
0.698 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify 0 into 0
0.698 * [taylor]: Taking taylor expansion of 0 in th
0.698 * [backup-simplify]: Simplify 0 into 0
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
0.700 * [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 (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.701 * [taylor]: Taking taylor expansion of 0 in th
0.701 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.703 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.706 * [backup-simplify]: Simplify (+ 0 0) into 0
0.707 * [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
0.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.708 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.709 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.710 * [backup-simplify]: Simplify (- 0) into 0
0.710 * [backup-simplify]: Simplify (+ 0 0) into 0
0.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.714 * [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
0.714 * [taylor]: Taking taylor expansion of 0 in a2
0.714 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.716 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.716 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.717 * [backup-simplify]: Simplify (- 0) into 0
0.719 * [backup-simplify]: Simplify (+ 0 0) into 0
0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.721 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.723 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.723 * [taylor]: Taking taylor expansion of 0 in th
0.723 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify 0 into 0
0.724 * [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)))
0.724 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.724 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
0.724 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
0.724 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.725 * [taylor]: Taking taylor expansion of 2.0 in th
0.725 * [backup-simplify]: Simplify 2.0 into 2.0
0.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.726 * [taylor]: Taking taylor expansion of (cos th) in th
0.726 * [taylor]: Taking taylor expansion of th in th
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 1 into 1
0.727 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.727 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.727 * [taylor]: Taking taylor expansion of 2.0 in th
0.727 * [backup-simplify]: Simplify 2.0 into 2.0
0.728 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.728 * [taylor]: Taking taylor expansion of (cos th) in th
0.728 * [taylor]: Taking taylor expansion of th in th
0.728 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.730 * [backup-simplify]: Simplify (+ 0) into 0
0.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.731 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
0.740 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
0.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.743 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (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 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.749 * [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
0.760 * [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))
0.761 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
0.765 * [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)))))
0.765 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.766 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
0.766 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.766 * [taylor]: Taking taylor expansion of 2.0 in th
0.766 * [backup-simplify]: Simplify 2.0 into 2.0
0.766 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.767 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.767 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.767 * [taylor]: Taking taylor expansion of th in th
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 1 into 1
0.768 * [backup-simplify]: Simplify (/ 1 1) into 1
0.768 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.768 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.768 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.768 * [taylor]: Taking taylor expansion of 2.0 in th
0.768 * [backup-simplify]: Simplify 2.0 into 2.0
0.769 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.770 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.770 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.770 * [taylor]: Taking taylor expansion of th in th
0.770 * [backup-simplify]: Simplify 0 into 0
0.770 * [backup-simplify]: Simplify 1 into 1
0.770 * [backup-simplify]: Simplify (/ 1 1) into 1
0.770 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.771 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.771 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.772 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
0.772 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.774 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.774 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.777 * [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
0.777 * [backup-simplify]: Simplify 0 into 0
0.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.784 * [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
0.784 * [backup-simplify]: Simplify 0 into 0
0.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.787 * [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
0.787 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 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)))) (* 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 (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
0.790 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.790 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
0.791 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.791 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.791 * [taylor]: Taking taylor expansion of 2.0 in th
0.791 * [backup-simplify]: Simplify 2.0 into 2.0
0.791 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.792 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.792 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.792 * [taylor]: Taking taylor expansion of -1 in th
0.792 * [backup-simplify]: Simplify -1 into -1
0.792 * [taylor]: Taking taylor expansion of th in th
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify 1 into 1
0.792 * [backup-simplify]: Simplify (/ -1 1) into -1
0.792 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.793 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
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)
0.794 * [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
0.795 * [backup-simplify]: Simplify (/ -1 1) into -1
0.795 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.795 * [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)))
0.797 * [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
0.798 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 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)))))) into 0
0.799 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.801 * [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
0.801 * [backup-simplify]: Simplify 0 into 0
0.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 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)))))) into 0
0.803 * [backup-simplify]: Simplify 0 into 0
0.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.806 * [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
0.806 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.809 * [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
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
0.809 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.809 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
0.809 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
0.809 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.809 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.809 * [taylor]: Taking taylor expansion of a2 in a2
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 1 into 1
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 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 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 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.810 * [taylor]: Taking taylor expansion of a1 in a1
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 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 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.810 * [taylor]: Taking taylor expansion of a1 in a1
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.810 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
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 (+ (* a2 0) (* 0 a2)) into 0
0.810 * [backup-simplify]: Simplify (+ 0 0) into 0
0.810 * [taylor]: Taking taylor expansion of 0 in a2
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.811 * [backup-simplify]: Simplify (* 1 1) into 1
0.811 * [backup-simplify]: Simplify (+ 0 1) into 1
0.811 * [taylor]: Taking taylor expansion of 1 in a2
0.811 * [backup-simplify]: Simplify 1 into 1
0.811 * [backup-simplify]: Simplify 1 into 1
0.811 * [backup-simplify]: Simplify 0 into 0
0.812 * [backup-simplify]: Simplify (* 1 1) into 1
0.812 * [backup-simplify]: Simplify 1 into 1
0.812 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.813 * [backup-simplify]: Simplify (+ 0 0) into 0
0.813 * [taylor]: Taking taylor expansion of 0 in a2
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 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
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
0.815 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.815 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.815 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.815 * [taylor]: Taking taylor expansion of a2 in a2
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify 1 into 1
0.816 * [backup-simplify]: Simplify (* 1 1) into 1
0.816 * [backup-simplify]: Simplify (/ 1 1) into 1
0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.816 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.816 * [taylor]: Taking taylor expansion of a1 in a2
0.816 * [backup-simplify]: Simplify a1 into a1
0.816 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.816 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.816 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.816 * [taylor]: Taking taylor expansion of a2 in a1
0.816 * [backup-simplify]: Simplify a2 into a2
0.816 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.816 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.816 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.816 * [taylor]: Taking taylor expansion of a1 in a1
0.816 * [backup-simplify]: Simplify 0 into 0
0.816 * [backup-simplify]: Simplify 1 into 1
0.817 * [backup-simplify]: Simplify (* 1 1) into 1
0.817 * [backup-simplify]: Simplify (/ 1 1) into 1
0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.817 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.817 * [taylor]: Taking taylor expansion of a2 in a1
0.817 * [backup-simplify]: Simplify a2 into a2
0.817 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.817 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.817 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.817 * [taylor]: Taking taylor expansion of a1 in a1
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 1 into 1
0.818 * [backup-simplify]: Simplify (* 1 1) into 1
0.818 * [backup-simplify]: Simplify (/ 1 1) into 1
0.818 * [backup-simplify]: Simplify (+ 0 1) into 1
0.818 * [taylor]: Taking taylor expansion of 1 in a2
0.818 * [backup-simplify]: Simplify 1 into 1
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.819 * [backup-simplify]: Simplify (+ 0 0) into 0
0.819 * [taylor]: Taking taylor expansion of 0 in a2
0.819 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.821 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.821 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.821 * [taylor]: Taking taylor expansion of a2 in a2
0.821 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify (* 1 1) into 1
0.821 * [backup-simplify]: Simplify (/ 1 1) into 1
0.821 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify 1 into 1
0.821 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (+ 0 0) into 0
0.823 * [taylor]: Taking taylor expansion of 0 in a2
0.823 * [backup-simplify]: Simplify 0 into 0
0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify 0 into 0
0.824 * [backup-simplify]: Simplify 0 into 0
0.824 * [backup-simplify]: Simplify 0 into 0
0.824 * [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
0.825 * [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
0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.827 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.827 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.827 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.827 * [taylor]: Taking taylor expansion of a2 in a2
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 1 into 1
0.828 * [backup-simplify]: Simplify (* 1 1) into 1
0.828 * [backup-simplify]: Simplify (/ 1 1) into 1
0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.828 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.828 * [taylor]: Taking taylor expansion of a1 in a2
0.828 * [backup-simplify]: Simplify a1 into a1
0.828 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.828 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.828 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.828 * [taylor]: Taking taylor expansion of a2 in a1
0.828 * [backup-simplify]: Simplify a2 into a2
0.828 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.828 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.828 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.828 * [taylor]: Taking taylor expansion of a1 in a1
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify 1 into 1
0.829 * [backup-simplify]: Simplify (* 1 1) into 1
0.829 * [backup-simplify]: Simplify (/ 1 1) into 1
0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.829 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.829 * [taylor]: Taking taylor expansion of a2 in a1
0.829 * [backup-simplify]: Simplify a2 into a2
0.829 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.829 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.829 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.829 * [taylor]: Taking taylor expansion of a1 in a1
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [backup-simplify]: Simplify (+ 0 1) into 1
0.830 * [taylor]: Taking taylor expansion of 1 in a2
0.830 * [backup-simplify]: Simplify 1 into 1
0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ 0 0) into 0
0.831 * [taylor]: Taking taylor expansion of 0 in a2
0.831 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.832 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.832 * [taylor]: Taking taylor expansion of a2 in a2
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.833 * [backup-simplify]: Simplify (* 1 1) into 1
0.833 * [backup-simplify]: Simplify (/ 1 1) into 1
0.833 * [backup-simplify]: Simplify 1 into 1
0.833 * [backup-simplify]: Simplify 1 into 1
0.833 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify (+ 0 0) into 0
0.835 * [taylor]: Taking taylor expansion of 0 in a2
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.838 * [backup-simplify]: Simplify (+ 0 0) into 0
0.838 * [taylor]: Taking taylor expansion of 0 in a2
0.838 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.839 * * * [progress]: simplifying candidates
0.843 * [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
0.953 * * [simplify]: iteration 1: 680 enodes
1.512 * * [simplify]: iteration 2: 4529 enodes
2.758 * * [simplify]: iteration complete: 5000 enodes
2.758 * * [simplify]: Extracting #0: cost 163 inf + 0
2.761 * * [simplify]: Extracting #1: cost 1177 inf + 1
2.766 * * [simplify]: Extracting #2: cost 1792 inf + 23
2.772 * * [simplify]: Extracting #3: cost 1681 inf + 1193
2.784 * * [simplify]: Extracting #4: cost 1211 inf + 4025
2.795 * * [simplify]: Extracting #5: cost 484 inf + 13393
2.806 * * [simplify]: Extracting #6: cost 54 inf + 20355
2.818 * * [simplify]: Extracting #7: cost 0 inf + 21494
2.830 * * [simplify]: Extracting #8: cost 0 inf + 21488
2.847 * [simplify]: Simplified to:
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (exp (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (* (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))) (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (sqrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (- (- (* a1 a1)) (pow a2 2))
  (/ (- (sqrt 2.0)) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (cbrt (cos th)) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (fabs (cbrt 2.0)))
  (* (cos th) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (/ (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (fabs (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (* (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ 1 (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (* (+ (* a1 a1) (pow a2 2)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th)))) (cbrt (cos th)))
  (* (sqrt (cos th)) (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (pow a2 2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (pow a2 2)) (sqrt (cos th)))
  (+ (* a1 a1) (pow a2 2))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (pow a2 2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (pow a2 2)) (sqrt (cos th)))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (* (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (pow a1 4)) (/ (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)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (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)) (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) (pow a2 2)))
  (log (+ (* a1 a1) (pow a2 2)))
  (exp (+ (* a1 a1) (pow a2 2)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (cbrt (+ (* a1 a1) (pow a2 2)))
  (pow (+ (* a1 a1) (pow a2 2)) 3)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (+ (pow a1 6) (pow a2 6))
  (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (pow a1 4))
  (- (pow a1 4) (pow a2 4))
  (* (+ 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)) (pow th 4)) (* (* 1/2 (* th th)) (sqrt 2.0))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
2.850 * * * [progress]: adding candidates to table
3.911 * * [progress]: iteration 2 / 4
3.911 * * * [progress]: picking best candidate
3.955 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))>
3.955 * * * [progress]: localizing error
3.975 * * * [progress]: generating rewritten candidates
3.975 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
4.004 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
4.015 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
4.038 * * * [progress]: generating series expansions
4.038 * * * * [progress]: [ 1 / 3 ] generating series at (2)
4.039 * [backup-simplify]: Simplify (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
4.039 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a2 a1 th) around 0
4.039 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
4.039 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.039 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.039 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.039 * [taylor]: Taking taylor expansion of a2 in th
4.039 * [backup-simplify]: Simplify a2 into a2
4.039 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.039 * [taylor]: Taking taylor expansion of a1 in th
4.039 * [backup-simplify]: Simplify a1 into a1
4.039 * [taylor]: Taking taylor expansion of (cos th) in th
4.039 * [taylor]: Taking taylor expansion of th in th
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 1 into 1
4.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.039 * [taylor]: Taking taylor expansion of 2.0 in th
4.039 * [backup-simplify]: Simplify 2.0 into 2.0
4.039 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.040 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.040 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.040 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.040 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.041 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
4.041 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.041 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.041 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.041 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.041 * [taylor]: Taking taylor expansion of a2 in a1
4.041 * [backup-simplify]: Simplify a2 into a2
4.041 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.041 * [taylor]: Taking taylor expansion of a1 in a1
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [taylor]: Taking taylor expansion of (cos th) in a1
4.041 * [taylor]: Taking taylor expansion of th in a1
4.041 * [backup-simplify]: Simplify th into th
4.041 * [backup-simplify]: Simplify (cos th) into (cos th)
4.041 * [backup-simplify]: Simplify (sin th) into (sin th)
4.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.041 * [taylor]: Taking taylor expansion of 2.0 in a1
4.041 * [backup-simplify]: Simplify 2.0 into 2.0
4.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.042 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.042 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.042 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.042 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.042 * [backup-simplify]: Simplify (- 0) into 0
4.042 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.042 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.043 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.043 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
4.043 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.043 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.043 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.043 * [taylor]: Taking taylor expansion of a2 in a2
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.043 * [taylor]: Taking taylor expansion of a1 in a2
4.043 * [backup-simplify]: Simplify a1 into a1
4.043 * [taylor]: Taking taylor expansion of (cos th) in a2
4.043 * [taylor]: Taking taylor expansion of th in a2
4.043 * [backup-simplify]: Simplify th into th
4.043 * [backup-simplify]: Simplify (cos th) into (cos th)
4.043 * [backup-simplify]: Simplify (sin th) into (sin th)
4.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.043 * [taylor]: Taking taylor expansion of 2.0 in a2
4.043 * [backup-simplify]: Simplify 2.0 into 2.0
4.043 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.044 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.044 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.044 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.044 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.044 * [backup-simplify]: Simplify (- 0) into 0
4.044 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.045 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.045 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.045 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
4.045 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.045 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.045 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.045 * [taylor]: Taking taylor expansion of a2 in a2
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.045 * [taylor]: Taking taylor expansion of a1 in a2
4.045 * [backup-simplify]: Simplify a1 into a1
4.045 * [taylor]: Taking taylor expansion of (cos th) in a2
4.045 * [taylor]: Taking taylor expansion of th in a2
4.045 * [backup-simplify]: Simplify th into th
4.045 * [backup-simplify]: Simplify (cos th) into (cos th)
4.045 * [backup-simplify]: Simplify (sin th) into (sin th)
4.045 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.045 * [taylor]: Taking taylor expansion of 2.0 in a2
4.045 * [backup-simplify]: Simplify 2.0 into 2.0
4.046 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.046 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.046 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.046 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.046 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.047 * [backup-simplify]: Simplify (- 0) into 0
4.047 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.047 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.047 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.047 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
4.047 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
4.047 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.047 * [taylor]: Taking taylor expansion of a1 in a1
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 1 into 1
4.047 * [taylor]: Taking taylor expansion of (cos th) in a1
4.047 * [taylor]: Taking taylor expansion of th in a1
4.047 * [backup-simplify]: Simplify th into th
4.047 * [backup-simplify]: Simplify (cos th) into (cos th)
4.047 * [backup-simplify]: Simplify (sin th) into (sin th)
4.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.047 * [taylor]: Taking taylor expansion of 2.0 in a1
4.047 * [backup-simplify]: Simplify 2.0 into 2.0
4.048 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.048 * [backup-simplify]: Simplify (* 1 1) into 1
4.048 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.048 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.049 * [backup-simplify]: Simplify (- 0) into 0
4.049 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.049 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
4.049 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.050 * [backup-simplify]: Simplify (+ 0) into 0
4.050 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.052 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.052 * [backup-simplify]: Simplify (- 0) into 0
4.052 * [backup-simplify]: Simplify (+ 0 0) into 0
4.052 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.053 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (cos th))) into 0
4.055 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.055 * [taylor]: Taking taylor expansion of 0 in a1
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [taylor]: Taking taylor expansion of 0 in th
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.057 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
4.057 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.058 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
4.058 * [backup-simplify]: Simplify (- 0) into 0
4.059 * [backup-simplify]: Simplify (+ 0 0) into 0
4.059 * [backup-simplify]: Simplify (* 1 1) into 1
4.060 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.060 * [backup-simplify]: Simplify (+ 1 0) into 1
4.061 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
4.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.064 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
4.065 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a1
4.065 * [taylor]: Taking taylor expansion of (cos th) in a1
4.065 * [taylor]: Taking taylor expansion of th in a1
4.065 * [backup-simplify]: Simplify th into th
4.065 * [backup-simplify]: Simplify (cos th) into (cos th)
4.065 * [backup-simplify]: Simplify (sin th) into (sin th)
4.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.065 * [taylor]: Taking taylor expansion of 2.0 in a1
4.065 * [backup-simplify]: Simplify 2.0 into 2.0
4.065 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.066 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.066 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.066 * [backup-simplify]: Simplify (- 0) into 0
4.066 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.066 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.066 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.066 * [taylor]: Taking taylor expansion of (cos th) in th
4.066 * [taylor]: Taking taylor expansion of th in th
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.066 * [taylor]: Taking taylor expansion of 2.0 in th
4.066 * [backup-simplify]: Simplify 2.0 into 2.0
4.067 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.068 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.068 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.068 * [taylor]: Taking taylor expansion of 0 in th
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.068 * [taylor]: Taking taylor expansion of (cos th) in th
4.068 * [taylor]: Taking taylor expansion of th in th
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.068 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.068 * [taylor]: Taking taylor expansion of 2.0 in th
4.068 * [backup-simplify]: Simplify 2.0 into 2.0
4.069 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.070 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.070 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.070 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.071 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.072 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.073 * [backup-simplify]: Simplify (- 0) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.074 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.074 * [backup-simplify]: Simplify (+ 0 0) into 0
4.075 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
4.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.078 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.078 * [taylor]: Taking taylor expansion of 0 in a1
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [taylor]: Taking taylor expansion of 0 in th
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify (+ 0) into 0
4.078 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.079 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.079 * [backup-simplify]: Simplify (- 0) into 0
4.080 * [backup-simplify]: Simplify (+ 0 0) into 0
4.080 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.081 * [taylor]: Taking taylor expansion of 0 in th
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [taylor]: Taking taylor expansion of 0 in th
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify (+ 0) into 0
4.081 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.082 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.082 * [backup-simplify]: Simplify (- 0) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos th))) into 0
4.084 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.084 * [taylor]: Taking taylor expansion of 0 in th
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify (+ 0) into 0
4.085 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.085 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a1 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a2)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
4.087 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) (/ (sqrt 2.0) (cos (/ 1 th)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.087 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a2 a1 th) around 0
4.087 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.087 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.087 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.087 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.087 * [taylor]: Taking taylor expansion of th in th
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (/ 1 1) into 1
4.088 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.088 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.088 * [taylor]: Taking taylor expansion of a2 in th
4.088 * [backup-simplify]: Simplify a2 into a2
4.088 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.088 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.088 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.088 * [taylor]: Taking taylor expansion of a1 in th
4.088 * [backup-simplify]: Simplify a1 into a1
4.088 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.088 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.088 * [taylor]: Taking taylor expansion of 2.0 in th
4.088 * [backup-simplify]: Simplify 2.0 into 2.0
4.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.089 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.089 * [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))))
4.090 * [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))
4.090 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.090 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.090 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.090 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.090 * [taylor]: Taking taylor expansion of th in a1
4.090 * [backup-simplify]: Simplify th into th
4.090 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.090 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.090 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.090 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.090 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.090 * [taylor]: Taking taylor expansion of a2 in a1
4.090 * [backup-simplify]: Simplify a2 into a2
4.090 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.090 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.090 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.090 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.090 * [taylor]: Taking taylor expansion of a1 in a1
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 1 into 1
4.091 * [backup-simplify]: Simplify (* 1 1) into 1
4.091 * [backup-simplify]: Simplify (/ 1 1) into 1
4.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.091 * [taylor]: Taking taylor expansion of 2.0 in a1
4.091 * [backup-simplify]: Simplify 2.0 into 2.0
4.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.092 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.092 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.092 * [backup-simplify]: Simplify (- 0) into 0
4.092 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.092 * [backup-simplify]: Simplify (+ 0 1) into 1
4.092 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.093 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.093 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.093 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.093 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.093 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.093 * [taylor]: Taking taylor expansion of th in a2
4.093 * [backup-simplify]: Simplify th into th
4.093 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.093 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.093 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.093 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.093 * [taylor]: Taking taylor expansion of a2 in a2
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (* 1 1) into 1
4.094 * [backup-simplify]: Simplify (/ 1 1) into 1
4.094 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.094 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.094 * [taylor]: Taking taylor expansion of a1 in a2
4.094 * [backup-simplify]: Simplify a1 into a1
4.094 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.094 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.094 * [taylor]: Taking taylor expansion of 2.0 in a2
4.094 * [backup-simplify]: Simplify 2.0 into 2.0
4.094 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.095 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.095 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.095 * [backup-simplify]: Simplify (- 0) into 0
4.095 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.095 * [backup-simplify]: Simplify (+ 1 0) into 1
4.095 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.096 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.096 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.096 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.096 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.096 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.096 * [taylor]: Taking taylor expansion of th in a2
4.096 * [backup-simplify]: Simplify th into th
4.096 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.096 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.096 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.096 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.096 * [taylor]: Taking taylor expansion of a2 in a2
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (* 1 1) into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.097 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.097 * [taylor]: Taking taylor expansion of a1 in a2
4.097 * [backup-simplify]: Simplify a1 into a1
4.097 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.097 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.097 * [taylor]: Taking taylor expansion of 2.0 in a2
4.097 * [backup-simplify]: Simplify 2.0 into 2.0
4.097 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.098 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.099 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.099 * [backup-simplify]: Simplify (- 0) into 0
4.099 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.100 * [backup-simplify]: Simplify (+ 1 0) into 1
4.100 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.100 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.100 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a1
4.100 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.101 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.101 * [taylor]: Taking taylor expansion of th in a1
4.101 * [backup-simplify]: Simplify th into th
4.101 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.101 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.101 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.101 * [taylor]: Taking taylor expansion of 2.0 in a1
4.101 * [backup-simplify]: Simplify 2.0 into 2.0
4.101 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.102 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.102 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.103 * [backup-simplify]: Simplify (- 0) into 0
4.103 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.103 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.105 * [backup-simplify]: Simplify (+ 0 0) into 0
4.106 * [backup-simplify]: Simplify (+ 0) into 0
4.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.108 * [backup-simplify]: Simplify (- 0) into 0
4.108 * [backup-simplify]: Simplify (+ 0 0) into 0
4.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.110 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.110 * [taylor]: Taking taylor expansion of 0 in a1
4.111 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.113 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
4.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.119 * [backup-simplify]: Simplify (- 0) into 0
4.119 * [backup-simplify]: Simplify (+ 0 0) into 0
4.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a1 2))
4.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.125 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a1 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 a1 2)))
4.125 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
4.125 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.125 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.125 * [taylor]: Taking taylor expansion of th in a1
4.125 * [backup-simplify]: Simplify th into th
4.125 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.125 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.125 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.125 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
4.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.125 * [taylor]: Taking taylor expansion of 2.0 in a1
4.125 * [backup-simplify]: Simplify 2.0 into 2.0
4.126 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.127 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.127 * [taylor]: Taking taylor expansion of a1 in a1
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 1 into 1
4.127 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.127 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.127 * [backup-simplify]: Simplify (- 0) into 0
4.127 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.128 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.129 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.129 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.129 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.129 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.129 * [taylor]: Taking taylor expansion of th in th
4.129 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify 1 into 1
4.130 * [backup-simplify]: Simplify (/ 1 1) into 1
4.130 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.130 * [taylor]: Taking taylor expansion of 2.0 in th
4.130 * [backup-simplify]: Simplify 2.0 into 2.0
4.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.131 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.132 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.132 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.132 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.132 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.132 * [taylor]: Taking taylor expansion of th in th
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 1 into 1
4.133 * [backup-simplify]: Simplify (/ 1 1) into 1
4.133 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.133 * [taylor]: Taking taylor expansion of 2.0 in th
4.133 * [backup-simplify]: Simplify 2.0 into 2.0
4.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.134 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.135 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.142 * [backup-simplify]: Simplify (- 0) into 0
4.143 * [backup-simplify]: Simplify (+ 0 0) into 0
4.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
4.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.148 * [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 a1 2))) (/ 0 (sqrt 2.0))))) into 0
4.148 * [taylor]: Taking taylor expansion of 0 in a1
4.148 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (+ 0) into 0
4.149 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.151 * [backup-simplify]: Simplify (- 0) into 0
4.151 * [backup-simplify]: Simplify (+ 0 0) into 0
4.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.153 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.154 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.154 * [taylor]: Taking taylor expansion of 0 in th
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [taylor]: Taking taylor expansion of 0 in th
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify (+ 0) into 0
4.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.157 * [backup-simplify]: Simplify (- 0) into 0
4.158 * [backup-simplify]: Simplify (+ 0 0) into 0
4.159 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.159 * [taylor]: Taking taylor expansion of 0 in th
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.168 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.170 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.173 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.174 * [backup-simplify]: Simplify (+ 0 0) into 0
4.176 * [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
4.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.180 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.181 * [backup-simplify]: Simplify (- 0) into 0
4.181 * [backup-simplify]: Simplify (+ 0 0) into 0
4.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0
4.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.188 * [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 a1 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.188 * [taylor]: Taking taylor expansion of 0 in a1
4.188 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.191 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.192 * [backup-simplify]: Simplify (- 0) into 0
4.192 * [backup-simplify]: Simplify (+ 0 0) into 0
4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.196 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.198 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.198 * [taylor]: Taking taylor expansion of 0 in th
4.198 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify 0 into 0
4.200 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a2)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.200 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) (/ (sqrt 2.0) (cos (/ 1 (- th))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.200 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a2 a1 th) around 0
4.200 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.201 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.201 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.201 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.201 * [taylor]: Taking taylor expansion of -1 in th
4.201 * [backup-simplify]: Simplify -1 into -1
4.201 * [taylor]: Taking taylor expansion of th in th
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify 1 into 1
4.201 * [backup-simplify]: Simplify (/ -1 1) into -1
4.201 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.201 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.201 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.201 * [taylor]: Taking taylor expansion of a2 in th
4.201 * [backup-simplify]: Simplify a2 into a2
4.201 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.201 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.201 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.201 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.201 * [taylor]: Taking taylor expansion of a1 in th
4.201 * [backup-simplify]: Simplify a1 into a1
4.201 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.201 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.202 * [taylor]: Taking taylor expansion of 2.0 in th
4.202 * [backup-simplify]: Simplify 2.0 into 2.0
4.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.202 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.203 * [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))))
4.203 * [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))
4.203 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.203 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.203 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.203 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.203 * [taylor]: Taking taylor expansion of -1 in a1
4.203 * [backup-simplify]: Simplify -1 into -1
4.203 * [taylor]: Taking taylor expansion of th in a1
4.203 * [backup-simplify]: Simplify th into th
4.203 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.203 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.203 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.203 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.203 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.203 * [taylor]: Taking taylor expansion of a2 in a1
4.203 * [backup-simplify]: Simplify a2 into a2
4.204 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.204 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.204 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.204 * [taylor]: Taking taylor expansion of a1 in a1
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.204 * [backup-simplify]: Simplify (* 1 1) into 1
4.204 * [backup-simplify]: Simplify (/ 1 1) into 1
4.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.204 * [taylor]: Taking taylor expansion of 2.0 in a1
4.204 * [backup-simplify]: Simplify 2.0 into 2.0
4.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.205 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.205 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.205 * [backup-simplify]: Simplify (- 0) into 0
4.205 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.206 * [backup-simplify]: Simplify (+ 0 1) into 1
4.206 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.206 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.206 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.206 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.206 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.206 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.206 * [taylor]: Taking taylor expansion of -1 in a2
4.206 * [backup-simplify]: Simplify -1 into -1
4.206 * [taylor]: Taking taylor expansion of th in a2
4.206 * [backup-simplify]: Simplify th into th
4.206 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.206 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.206 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.206 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.206 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.206 * [taylor]: Taking taylor expansion of a2 in a2
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 1 into 1
4.207 * [backup-simplify]: Simplify (* 1 1) into 1
4.207 * [backup-simplify]: Simplify (/ 1 1) into 1
4.207 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.207 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.207 * [taylor]: Taking taylor expansion of a1 in a2
4.207 * [backup-simplify]: Simplify a1 into a1
4.207 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.207 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.207 * [taylor]: Taking taylor expansion of 2.0 in a2
4.207 * [backup-simplify]: Simplify 2.0 into 2.0
4.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.208 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.208 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.208 * [backup-simplify]: Simplify (- 0) into 0
4.208 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.208 * [backup-simplify]: Simplify (+ 1 0) into 1
4.209 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.209 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.209 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.209 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.209 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.209 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.209 * [taylor]: Taking taylor expansion of -1 in a2
4.209 * [backup-simplify]: Simplify -1 into -1
4.209 * [taylor]: Taking taylor expansion of th in a2
4.209 * [backup-simplify]: Simplify th into th
4.209 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.209 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.209 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.209 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.209 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.209 * [taylor]: Taking taylor expansion of a2 in a2
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.209 * [backup-simplify]: Simplify (* 1 1) into 1
4.210 * [backup-simplify]: Simplify (/ 1 1) into 1
4.210 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.210 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.210 * [taylor]: Taking taylor expansion of a1 in a2
4.210 * [backup-simplify]: Simplify a1 into a1
4.210 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.210 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.210 * [taylor]: Taking taylor expansion of 2.0 in a2
4.210 * [backup-simplify]: Simplify 2.0 into 2.0
4.210 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.211 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.211 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.211 * [backup-simplify]: Simplify (- 0) into 0
4.211 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.211 * [backup-simplify]: Simplify (+ 1 0) into 1
4.211 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.212 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.212 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a1
4.212 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.212 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.212 * [taylor]: Taking taylor expansion of -1 in a1
4.212 * [backup-simplify]: Simplify -1 into -1
4.212 * [taylor]: Taking taylor expansion of th in a1
4.212 * [backup-simplify]: Simplify th into th
4.212 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.212 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.212 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.212 * [taylor]: Taking taylor expansion of 2.0 in a1
4.212 * [backup-simplify]: Simplify 2.0 into 2.0
4.212 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.213 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.213 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.213 * [backup-simplify]: Simplify (- 0) into 0
4.213 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.213 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.215 * [backup-simplify]: Simplify (+ 0 0) into 0
4.215 * [backup-simplify]: Simplify (+ 0) into 0
4.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.215 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.216 * [backup-simplify]: Simplify (- 0) into 0
4.216 * [backup-simplify]: Simplify (+ 0 0) into 0
4.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.218 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.218 * [taylor]: Taking taylor expansion of 0 in a1
4.218 * [backup-simplify]: Simplify 0 into 0
4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.219 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
4.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.220 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.221 * [backup-simplify]: Simplify (- 0) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a1 2))
4.223 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.224 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
4.224 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
4.224 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.224 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.224 * [taylor]: Taking taylor expansion of -1 in a1
4.224 * [backup-simplify]: Simplify -1 into -1
4.224 * [taylor]: Taking taylor expansion of th in a1
4.224 * [backup-simplify]: Simplify th into th
4.224 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.224 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.224 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.224 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
4.224 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.224 * [taylor]: Taking taylor expansion of a1 in a1
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.225 * [taylor]: Taking taylor expansion of 2.0 in a1
4.225 * [backup-simplify]: Simplify 2.0 into 2.0
4.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.225 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.225 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.226 * [backup-simplify]: Simplify (- 0) into 0
4.226 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.226 * [backup-simplify]: Simplify (* 1 1) into 1
4.226 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
4.227 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.227 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.227 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.227 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.227 * [taylor]: Taking taylor expansion of -1 in th
4.227 * [backup-simplify]: Simplify -1 into -1
4.227 * [taylor]: Taking taylor expansion of th in th
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [backup-simplify]: Simplify (/ -1 1) into -1
4.227 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.227 * [taylor]: Taking taylor expansion of 2.0 in th
4.227 * [backup-simplify]: Simplify 2.0 into 2.0
4.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.228 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.229 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.229 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.229 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.229 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.229 * [taylor]: Taking taylor expansion of -1 in th
4.229 * [backup-simplify]: Simplify -1 into -1
4.229 * [taylor]: Taking taylor expansion of th in th
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 1 into 1
4.229 * [backup-simplify]: Simplify (/ -1 1) into -1
4.229 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.229 * [taylor]: Taking taylor expansion of 2.0 in th
4.229 * [backup-simplify]: Simplify 2.0 into 2.0
4.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.230 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.230 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.232 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.232 * [backup-simplify]: Simplify (+ 0 0) into 0
4.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.235 * [backup-simplify]: Simplify (- 0) into 0
4.235 * [backup-simplify]: Simplify (+ 0 0) into 0
4.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
4.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.238 * [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)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (sqrt 2.0))))) into 0
4.239 * [taylor]: Taking taylor expansion of 0 in a1
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify (+ 0) into 0
4.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.239 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.240 * [backup-simplify]: Simplify (- 0) into 0
4.240 * [backup-simplify]: Simplify (+ 0 0) into 0
4.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
4.242 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.242 * [taylor]: Taking taylor expansion of 0 in th
4.242 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify 0 into 0
4.242 * [taylor]: Taking taylor expansion of 0 in th
4.242 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify (+ 0) into 0
4.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.243 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.244 * [backup-simplify]: Simplify (- 0) into 0
4.244 * [backup-simplify]: Simplify (+ 0 0) into 0
4.245 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.245 * [taylor]: Taking taylor expansion of 0 in th
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.246 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.249 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.250 * [backup-simplify]: Simplify (+ 0 0) into 0
4.252 * [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
4.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.254 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.255 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.256 * [backup-simplify]: Simplify (- 0) into 0
4.257 * [backup-simplify]: Simplify (+ 0 0) into 0
4.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0
4.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.264 * [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)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.264 * [taylor]: Taking taylor expansion of 0 in a1
4.264 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.266 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.267 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.267 * [backup-simplify]: Simplify (- 0) into 0
4.268 * [backup-simplify]: Simplify (+ 0 0) into 0
4.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
4.273 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.273 * [taylor]: Taking taylor expansion of 0 in th
4.273 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a2))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.275 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
4.276 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
4.276 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
4.276 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.276 * [taylor]: Taking taylor expansion of 2.0 in th
4.276 * [backup-simplify]: Simplify 2.0 into 2.0
4.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.277 * [taylor]: Taking taylor expansion of (cos th) in th
4.277 * [taylor]: Taking taylor expansion of th in th
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 1 into 1
4.278 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.278 * [taylor]: Taking taylor expansion of 2.0 in th
4.278 * [backup-simplify]: Simplify 2.0 into 2.0
4.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.279 * [taylor]: Taking taylor expansion of (cos th) in th
4.279 * [taylor]: Taking taylor expansion of th in th
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify 1 into 1
4.280 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.281 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.281 * [backup-simplify]: Simplify (+ 0) into 0
4.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.282 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
4.296 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
4.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
4.301 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.306 * [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
4.315 * [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))
4.316 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
4.319 * [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)))))
4.319 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.319 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
4.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.320 * [taylor]: Taking taylor expansion of 2.0 in th
4.320 * [backup-simplify]: Simplify 2.0 into 2.0
4.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.321 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.321 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.321 * [taylor]: Taking taylor expansion of th in th
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 1 into 1
4.321 * [backup-simplify]: Simplify (/ 1 1) into 1
4.321 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.322 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.322 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.322 * [taylor]: Taking taylor expansion of 2.0 in th
4.322 * [backup-simplify]: Simplify 2.0 into 2.0
4.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.323 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.323 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.323 * [taylor]: Taking taylor expansion of th in th
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify 1 into 1
4.324 * [backup-simplify]: Simplify (/ 1 1) into 1
4.324 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.324 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.325 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.325 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.327 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.330 * [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
4.330 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.332 * [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
4.332 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.335 * [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
4.335 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.337 * [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
4.337 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
4.338 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.338 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
4.338 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.338 * [taylor]: Taking taylor expansion of 2.0 in th
4.339 * [backup-simplify]: Simplify 2.0 into 2.0
4.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.340 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.340 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.340 * [taylor]: Taking taylor expansion of -1 in th
4.340 * [backup-simplify]: Simplify -1 into -1
4.340 * [taylor]: Taking taylor expansion of th in th
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.340 * [backup-simplify]: Simplify (/ -1 1) into -1
4.340 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.341 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.341 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.341 * [taylor]: Taking taylor expansion of 2.0 in th
4.341 * [backup-simplify]: Simplify 2.0 into 2.0
4.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.342 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.342 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.342 * [taylor]: Taking taylor expansion of -1 in th
4.342 * [backup-simplify]: Simplify -1 into -1
4.342 * [taylor]: Taking taylor expansion of th in th
4.342 * [backup-simplify]: Simplify 0 into 0
4.342 * [backup-simplify]: Simplify 1 into 1
4.343 * [backup-simplify]: Simplify (/ -1 1) into -1
4.343 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.343 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.344 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.345 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.345 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.347 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.347 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.349 * [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
4.349 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.352 * [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
4.352 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.354 * [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
4.354 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.357 * [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
4.357 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
4.358 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
4.358 * [backup-simplify]: Simplify (+ (* a2 a2) (* a1 a1)) into (+ (pow a2 2) (pow a1 2))
4.358 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a2 a1) around 0
4.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.358 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.358 * [taylor]: Taking taylor expansion of a2 in a1
4.358 * [backup-simplify]: Simplify a2 into a2
4.358 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.358 * [taylor]: Taking taylor expansion of a1 in a1
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.359 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.359 * [taylor]: Taking taylor expansion of a2 in a2
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.359 * [taylor]: Taking taylor expansion of a1 in a2
4.359 * [backup-simplify]: Simplify a1 into a1
4.359 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.359 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.359 * [taylor]: Taking taylor expansion of a2 in a2
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.359 * [taylor]: Taking taylor expansion of a1 in a2
4.359 * [backup-simplify]: Simplify a1 into a1
4.359 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.359 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.359 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.359 * [taylor]: Taking taylor expansion of a1 in a1
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.360 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.360 * [backup-simplify]: Simplify (+ 0 0) into 0
4.360 * [taylor]: Taking taylor expansion of 0 in a1
4.360 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify (* 1 1) into 1
4.361 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.362 * [backup-simplify]: Simplify (+ 1 0) into 1
4.362 * [taylor]: Taking taylor expansion of 1 in a1
4.362 * [backup-simplify]: Simplify 1 into 1
4.362 * [backup-simplify]: Simplify 1 into 1
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify (* 1 1) into 1
4.362 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.364 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.364 * [backup-simplify]: Simplify (+ 0 0) into 0
4.364 * [taylor]: Taking taylor expansion of 0 in a1
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.365 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.367 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
4.367 * [backup-simplify]: Simplify (+ 0 0) into 0
4.367 * [taylor]: Taking taylor expansion of 0 in a1
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* a1 1) 2)) (* 1 (pow (* 1 a2) 2))) into (+ (pow a2 2) (pow a1 2))
4.368 * [backup-simplify]: Simplify (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a2 a1) around 0
4.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.368 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.368 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.368 * [taylor]: Taking taylor expansion of a2 in a1
4.368 * [backup-simplify]: Simplify a2 into a2
4.368 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.369 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.369 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.369 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.369 * [taylor]: Taking taylor expansion of a1 in a1
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.369 * [backup-simplify]: Simplify (* 1 1) into 1
4.370 * [backup-simplify]: Simplify (/ 1 1) into 1
4.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.370 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.370 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.370 * [taylor]: Taking taylor expansion of a2 in a2
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify (* 1 1) into 1
4.371 * [backup-simplify]: Simplify (/ 1 1) into 1
4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.371 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.371 * [taylor]: Taking taylor expansion of a1 in a2
4.371 * [backup-simplify]: Simplify a1 into a1
4.371 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.371 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.371 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.371 * [taylor]: Taking taylor expansion of a2 in a2
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.371 * [backup-simplify]: Simplify (* 1 1) into 1
4.372 * [backup-simplify]: Simplify (/ 1 1) into 1
4.372 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.372 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.372 * [taylor]: Taking taylor expansion of a1 in a2
4.372 * [backup-simplify]: Simplify a1 into a1
4.372 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.372 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.373 * [backup-simplify]: Simplify (+ 1 0) into 1
4.373 * [taylor]: Taking taylor expansion of 1 in a1
4.373 * [backup-simplify]: Simplify 1 into 1
4.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.375 * [backup-simplify]: Simplify (+ 0 0) into 0
4.375 * [taylor]: Taking taylor expansion of 0 in a1
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.377 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.377 * [taylor]: Taking taylor expansion of a1 in a1
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 1 into 1
4.377 * [backup-simplify]: Simplify (* 1 1) into 1
4.377 * [backup-simplify]: Simplify (/ 1 1) into 1
4.377 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify 1 into 1
4.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.380 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.380 * [backup-simplify]: Simplify (+ 0 0) into 0
4.380 * [taylor]: Taking taylor expansion of 0 in a1
4.380 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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
4.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.385 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.386 * [backup-simplify]: Simplify (+ 0 0) into 0
4.386 * [taylor]: Taking taylor expansion of 0 in a1
4.386 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a2))) 2)) (* 1 (pow (* (/ 1 (/ 1 a1)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
4.390 * [backup-simplify]: Simplify (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.390 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a2 a1) around 0
4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.390 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.390 * [taylor]: Taking taylor expansion of a2 in a1
4.390 * [backup-simplify]: Simplify a2 into a2
4.390 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.390 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.390 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.390 * [taylor]: Taking taylor expansion of a1 in a1
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.391 * [backup-simplify]: Simplify (* 1 1) into 1
4.391 * [backup-simplify]: Simplify (/ 1 1) into 1
4.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.391 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.391 * [taylor]: Taking taylor expansion of a2 in a2
4.391 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify 1 into 1
4.392 * [backup-simplify]: Simplify (* 1 1) into 1
4.392 * [backup-simplify]: Simplify (/ 1 1) into 1
4.392 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.392 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.392 * [taylor]: Taking taylor expansion of a1 in a2
4.392 * [backup-simplify]: Simplify a1 into a1
4.392 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.393 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
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
4.393 * [taylor]: Taking taylor expansion of a2 in a2
4.393 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify 1 into 1
4.393 * [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)
4.394 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.395 * [backup-simplify]: Simplify (+ 1 0) into 1
4.395 * [taylor]: Taking taylor expansion of 1 in a1
4.395 * [backup-simplify]: Simplify 1 into 1
4.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.396 * [backup-simplify]: Simplify (+ 0 0) into 0
4.396 * [taylor]: Taking taylor expansion of 0 in a1
4.397 * [backup-simplify]: Simplify 0 into 0
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
4.398 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.398 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.398 * [taylor]: Taking taylor expansion of a1 in a1
4.398 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify 1 into 1
4.398 * [backup-simplify]: Simplify (* 1 1) into 1
4.398 * [backup-simplify]: Simplify (/ 1 1) into 1
4.398 * [backup-simplify]: Simplify 1 into 1
4.398 * [backup-simplify]: Simplify 1 into 1
4.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.400 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.400 * [backup-simplify]: Simplify (+ 0 0) into 0
4.400 * [taylor]: Taking taylor expansion of 0 in a1
4.400 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.402 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.403 * [backup-simplify]: Simplify (+ 0 0) into 0
4.403 * [taylor]: Taking taylor expansion of 0 in a1
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a2)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a1))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
4.404 * * * [progress]: simplifying candidates
4.407 * [simplify]: Simplifying:
  (- (log (+ (* a2 a2) (* a1 a1))) (- (log (sqrt 2.0)) (log (cos th))))
  (- (log (+ (* a2 a2) (* a1 a1))) (log (/ (sqrt 2.0) (cos th))))
  (log (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))
  (exp (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))
  (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))))
  (/ (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1))) (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))))
  (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))))
  (cbrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))
  (* (* (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th))))
  (- (+ (* a2 a2) (* a1 a1)))
  (- (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 1) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ 1 1))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) 1)
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th)))
  (/ (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))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (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 (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (* (cbrt 2.0) (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))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (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))))
  (/ (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 (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 1) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (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))))
  (/ (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 (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) 1)
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th)))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ 1 (/ (sqrt 1) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ 1 (/ 1 (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ 1 (/ 1 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (/ 1 1)
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (/ 1 (sqrt 2.0))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (cos th)))
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 1) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 1) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 1))
  (/ (+ (* a2 a2) (* a1 a1)) 1)
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))
  (* (/ (sqrt 2.0) (cos th)) (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt 2.0) (cos th)) (- (* a2 a2) (* a1 a1)))
  (- (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 (* a2 a2)) (exp (* 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)))
  (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3))
  (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))
  (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1)))
  (- (* a2 a2) (* a1 a1))
  (+ (/ (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))
4.411 * * [simplify]: iteration 0: 250 enodes
4.513 * * [simplify]: iteration 1: 681 enodes
5.005 * * [simplify]: iteration 2: 4256 enodes
6.118 * * [simplify]: iteration complete: 5001 enodes
6.118 * * [simplify]: Extracting #0: cost 164 inf + 0
6.123 * * [simplify]: Extracting #1: cost 1086 inf + 1
6.141 * * [simplify]: Extracting #2: cost 1840 inf + 31
6.154 * * [simplify]: Extracting #3: cost 1749 inf + 971
6.161 * * [simplify]: Extracting #4: cost 1330 inf + 3882
6.168 * * [simplify]: Extracting #5: cost 542 inf + 14438
6.174 * * [simplify]: Extracting #6: cost 28 inf + 22497
6.181 * * [simplify]: Extracting #7: cost 0 inf + 22950
6.189 * [simplify]: Simplified to:
  (log (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (log (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (log (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (exp (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (pow (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)) 3)
  (pow (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)) 3)
  (* (cbrt (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th))) (cbrt (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th))))
  (cbrt (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (pow (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)) 3)
  (sqrt (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (sqrt (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th)))
  (- (* a2 (- a2)) (pow a1 2))
  (- (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (cbrt (cos th)) (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt 2.0)))
  (* (sqrt (cos th)) (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (cos th))) (sqrt 2.0))
  (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (* (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (cbrt (cos th)) (/ (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt 2.0)))
  (* (sqrt (cos th)) (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (sqrt (cos th))) (sqrt 2.0))
  (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (/ (cbrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))) (sqrt 2.0))
  (* (cos th) (cbrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (sqrt (+ (pow a1 2) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th)))) (cbrt (cos th)))
  (* (cbrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (cbrt (sqrt 2.0))))
  (* (sqrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (pow a1 2) (* a2 a2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (fabs (cbrt 2.0))))
  (* (cbrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (* (sqrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (fabs (cbrt 2.0)))
  (/ (* (sqrt (+ (pow a1 2) (* a2 a2))) (cos th)) (sqrt (cbrt 2.0)))
  (* (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (cbrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (cbrt (cos th))) (cbrt (cos th)))
  (* (cbrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt 2.0)))
  (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (/ (* (sqrt (+ (pow a1 2) (* a2 a2))) (cos th)) (sqrt 2.0))
  (* (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (cbrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (cbrt (cos th))) (cbrt (cos th)))
  (* (cbrt (cos th)) (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt 2.0)))
  (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (/ (* (sqrt (+ (pow a1 2) (* a2 a2))) (cos th)) (sqrt 2.0))
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (/ (* (sqrt (+ (pow a1 2) (* a2 a2))) (cos th)) (sqrt 2.0))
  (/ (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt 2.0))
  (* (sqrt (+ (pow a1 2) (* a2 a2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (pow a1 2) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (pow a1 2) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (pow a1 2) (* a2 a2)) (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (* 1 (sqrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (pow a1 2) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (cbrt (sqrt 2.0))) (cos th))
  (* (/ 1 (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (+ (pow a1 2) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ 1 (fabs (cbrt 2.0)))
  (* (cos th) (/ (+ (pow a1 2) (* a2 a2)) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (* (+ (pow a1 2) (* a2 a2)) (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (* (+ (pow a1 2) (* a2 a2)) (cbrt (cos th))) (sqrt 2.0))
  (sqrt (cos th))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (sqrt (cos th)))
  1
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (* (+ (pow a1 2) (* a2 a2)) (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (* (+ (pow a1 2) (* a2 a2)) (cbrt (cos th))) (sqrt 2.0))
  (sqrt (cos th))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (sqrt (cos th)))
  1
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th))
  1
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0)) (cos th))
  (/ 1 (sqrt 2.0))
  (* (+ (pow a1 2) (* a2 a2)) (cos th))
  (* (cos th) (/ 1 (sqrt 2.0)))
  (/ (/ (sqrt 2.0) (cos th)) (+ (pow a1 2) (* a2 a2)))
  (/ (+ (pow a1 2) (* a2 a2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (pow a1 2) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (+ (pow a1 2) (* a2 a2)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (/ (* (+ (pow a1 2) (* a2 a2)) (sqrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (+ (pow a1 2) (* a2 a2)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (* (/ (+ (pow a1 2) (* a2 a2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (+ (pow a1 2) (* a2 a2)) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (+ (pow a1 2) (* a2 a2)) (fabs (cbrt 2.0)))
  (/ (+ (pow a1 2) (* a2 a2)) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (pow a1 2) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (pow a1 2) (* a2 a2)) (sqrt (cos th)))
  (+ (pow a1 2) (* a2 a2))
  (/ (+ (pow a1 2) (* a2 a2)) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (pow a1 2) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (pow a1 2) (* a2 a2)) (sqrt (cos th)))
  (+ (pow a1 2) (* a2 a2))
  (+ (pow a1 2) (* a2 a2))
  (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (pow a1 2) (* a2 a2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (pow a1 2) (* a2 a2)))
  (/ (+ (pow a1 2) (* a2 a2)) (sqrt 2.0))
  (* (- (+ (pow a2 4) (pow a1 4)) (* a2 (* a2 (pow a1 2)))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (cos th)) (* (+ a2 a1) (- a2 a1)))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (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)))
  (/ (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 (+ (pow a1 2) (* a2 a2)))
  (log (+ (pow a1 2) (* a2 a2)))
  (exp (+ (pow a1 2) (* a2 a2)))
  (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))
  (cbrt (+ (pow a1 2) (* a2 a2)))
  (pow (+ (pow a1 2) (* a2 a2)) 3)
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (+ (pow a2 6) (pow a1 6))
  (- (+ (pow a2 4) (pow a1 4)) (* a2 (* a2 (pow a1 2))))
  (- (pow a2 4) (pow a1 4))
  (* (+ a2 a1) (- a2 a1))
  (+ (/ a1 (/ (sqrt 2.0) a1)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (* (/ a1 (/ (sqrt 2.0) a1)) (cos th)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (* (/ a1 (/ (sqrt 2.0) a1)) (cos th)))
  (+ (+ (sqrt 2.0) (* (* (sqrt 2.0) 1/2) (* th th))) (* (* 5/24 (sqrt 2.0)) (pow th 4)))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (pow a1 2) (* a2 a2))
  (+ (pow a1 2) (* a2 a2))
  (+ (pow a1 2) (* a2 a2))
6.191 * * * [progress]: adding candidates to table
7.073 * * [progress]: iteration 3 / 4
7.073 * * * [progress]: picking best candidate
7.111 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))>
7.111 * * * [progress]: localizing error
7.146 * * * [progress]: generating rewritten candidates
7.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.158 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
7.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
7.429 * * * [progress]: generating series expansions
7.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.430 * [backup-simplify]: Simplify (sqrt (+ (pow a1 2) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
7.430 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
7.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
7.430 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.430 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.430 * [taylor]: Taking taylor expansion of a2 in a2
7.430 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify 1 into 1
7.430 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.430 * [taylor]: Taking taylor expansion of a1 in a2
7.430 * [backup-simplify]: Simplify a1 into a1
7.430 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.430 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.430 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
7.430 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.431 * [backup-simplify]: Simplify (+ 0 0) into 0
7.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
7.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.432 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.432 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.432 * [taylor]: Taking taylor expansion of a2 in a1
7.432 * [backup-simplify]: Simplify a2 into a2
7.432 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.432 * [taylor]: Taking taylor expansion of a1 in a1
7.432 * [backup-simplify]: Simplify 0 into 0
7.432 * [backup-simplify]: Simplify 1 into 1
7.432 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.432 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.432 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.432 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.433 * [backup-simplify]: Simplify (+ 0 0) into 0
7.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.433 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.433 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.433 * [taylor]: Taking taylor expansion of a2 in a1
7.433 * [backup-simplify]: Simplify a2 into a2
7.433 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.433 * [taylor]: Taking taylor expansion of a1 in a1
7.433 * [backup-simplify]: Simplify 0 into 0
7.433 * [backup-simplify]: Simplify 1 into 1
7.433 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.434 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.434 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.434 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.434 * [backup-simplify]: Simplify (+ 0 0) into 0
7.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.448 * [taylor]: Taking taylor expansion of a2 in a2
7.448 * [backup-simplify]: Simplify 0 into 0
7.448 * [backup-simplify]: Simplify 1 into 1
7.448 * [backup-simplify]: Simplify 0 into 0
7.448 * [taylor]: Taking taylor expansion of 0 in a2
7.448 * [backup-simplify]: Simplify 0 into 0
7.448 * [backup-simplify]: Simplify 0 into 0
7.448 * [backup-simplify]: Simplify 1 into 1
7.449 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.449 * [backup-simplify]: Simplify (* 1 1) into 1
7.449 * [backup-simplify]: Simplify (+ 0 1) into 1
7.450 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
7.450 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
7.450 * [taylor]: Taking taylor expansion of 1/2 in a2
7.450 * [backup-simplify]: Simplify 1/2 into 1/2
7.450 * [taylor]: Taking taylor expansion of a2 in a2
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 1 into 1
7.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
7.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.453 * [backup-simplify]: Simplify (+ 0 0) into 0
7.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
7.453 * [taylor]: Taking taylor expansion of 0 in a2
7.453 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.453 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify 0 into 0
7.454 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
7.454 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 a1) 2) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
7.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.454 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.454 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.454 * [taylor]: Taking taylor expansion of a2 in a2
7.454 * [backup-simplify]: Simplify 0 into 0
7.454 * [backup-simplify]: Simplify 1 into 1
7.454 * [backup-simplify]: Simplify (* 1 1) into 1
7.455 * [backup-simplify]: Simplify (/ 1 1) into 1
7.455 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.455 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.455 * [taylor]: Taking taylor expansion of a1 in a2
7.455 * [backup-simplify]: Simplify a1 into a1
7.455 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.455 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.455 * [backup-simplify]: Simplify (+ 1 0) into 1
7.455 * [backup-simplify]: Simplify (sqrt 1) into 1
7.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.457 * [backup-simplify]: Simplify (+ 0 0) into 0
7.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.457 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.457 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.457 * [taylor]: Taking taylor expansion of a2 in a1
7.457 * [backup-simplify]: Simplify a2 into a2
7.457 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.457 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.457 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.457 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.457 * [taylor]: Taking taylor expansion of a1 in a1
7.457 * [backup-simplify]: Simplify 0 into 0
7.457 * [backup-simplify]: Simplify 1 into 1
7.458 * [backup-simplify]: Simplify (* 1 1) into 1
7.458 * [backup-simplify]: Simplify (/ 1 1) into 1
7.458 * [backup-simplify]: Simplify (+ 0 1) into 1
7.459 * [backup-simplify]: Simplify (sqrt 1) into 1
7.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.460 * [backup-simplify]: Simplify (+ 0 0) into 0
7.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.460 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.460 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.460 * [taylor]: Taking taylor expansion of a2 in a1
7.460 * [backup-simplify]: Simplify a2 into a2
7.460 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.460 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.460 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.460 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.460 * [taylor]: Taking taylor expansion of a1 in a1
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify 1 into 1
7.461 * [backup-simplify]: Simplify (* 1 1) into 1
7.461 * [backup-simplify]: Simplify (/ 1 1) into 1
7.461 * [backup-simplify]: Simplify (+ 0 1) into 1
7.462 * [backup-simplify]: Simplify (sqrt 1) into 1
7.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.463 * [backup-simplify]: Simplify (+ 0 0) into 0
7.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.463 * [taylor]: Taking taylor expansion of 1 in a2
7.463 * [backup-simplify]: Simplify 1 into 1
7.463 * [taylor]: Taking taylor expansion of 0 in a2
7.463 * [backup-simplify]: Simplify 0 into 0
7.463 * [backup-simplify]: Simplify 1 into 1
7.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.464 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
7.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
7.465 * [taylor]: Taking taylor expansion of 1/2 in a2
7.465 * [backup-simplify]: Simplify 1/2 into 1/2
7.465 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.465 * [taylor]: Taking taylor expansion of a2 in a2
7.465 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify 1 into 1
7.466 * [backup-simplify]: Simplify (* 1 1) into 1
7.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.469 * [backup-simplify]: Simplify (+ 0 0) into 0
7.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
7.469 * [taylor]: Taking taylor expansion of 0 in a2
7.469 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
7.471 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- a1)) 2) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.471 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
7.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.471 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.471 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.471 * [taylor]: Taking taylor expansion of a2 in a2
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 1 into 1
7.471 * [backup-simplify]: Simplify (* 1 1) into 1
7.472 * [backup-simplify]: Simplify (/ 1 1) into 1
7.472 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.472 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.472 * [taylor]: Taking taylor expansion of a1 in a2
7.472 * [backup-simplify]: Simplify a1 into a1
7.472 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.472 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.472 * [backup-simplify]: Simplify (+ 1 0) into 1
7.472 * [backup-simplify]: Simplify (sqrt 1) into 1
7.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.473 * [backup-simplify]: Simplify (+ 0 0) into 0
7.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.474 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.474 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.474 * [taylor]: Taking taylor expansion of a2 in a1
7.474 * [backup-simplify]: Simplify a2 into a2
7.474 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.474 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.474 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.474 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.474 * [taylor]: Taking taylor expansion of a1 in a1
7.474 * [backup-simplify]: Simplify 0 into 0
7.474 * [backup-simplify]: Simplify 1 into 1
7.474 * [backup-simplify]: Simplify (* 1 1) into 1
7.475 * [backup-simplify]: Simplify (/ 1 1) into 1
7.475 * [backup-simplify]: Simplify (+ 0 1) into 1
7.475 * [backup-simplify]: Simplify (sqrt 1) into 1
7.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.476 * [backup-simplify]: Simplify (+ 0 0) into 0
7.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.477 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.477 * [taylor]: Taking taylor expansion of a2 in a1
7.477 * [backup-simplify]: Simplify a2 into a2
7.477 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.477 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.477 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.477 * [taylor]: Taking taylor expansion of a1 in a1
7.477 * [backup-simplify]: Simplify 0 into 0
7.477 * [backup-simplify]: Simplify 1 into 1
7.477 * [backup-simplify]: Simplify (* 1 1) into 1
7.478 * [backup-simplify]: Simplify (/ 1 1) into 1
7.478 * [backup-simplify]: Simplify (+ 0 1) into 1
7.478 * [backup-simplify]: Simplify (sqrt 1) into 1
7.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.479 * [backup-simplify]: Simplify (+ 0 0) into 0
7.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.480 * [taylor]: Taking taylor expansion of 1 in a2
7.480 * [backup-simplify]: Simplify 1 into 1
7.480 * [taylor]: Taking taylor expansion of 0 in a2
7.480 * [backup-simplify]: Simplify 0 into 0
7.480 * [backup-simplify]: Simplify 1 into 1
7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.481 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.482 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
7.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
7.482 * [taylor]: Taking taylor expansion of 1/2 in a2
7.482 * [backup-simplify]: Simplify 1/2 into 1/2
7.482 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.482 * [taylor]: Taking taylor expansion of a2 in a2
7.482 * [backup-simplify]: Simplify 0 into 0
7.482 * [backup-simplify]: Simplify 1 into 1
7.482 * [backup-simplify]: Simplify (* 1 1) into 1
7.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.483 * [backup-simplify]: Simplify 0 into 0
7.484 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
7.486 * [taylor]: Taking taylor expansion of 0 in a2
7.486 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
7.487 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
7.487 * [backup-simplify]: Simplify (sqrt (+ (* a2 a2) (* a1 a1))) into (sqrt (+ (pow a2 2) (pow a1 2)))
7.487 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a2 a1) around 0
7.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.487 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.487 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.487 * [taylor]: Taking taylor expansion of a2 in a1
7.487 * [backup-simplify]: Simplify a2 into a2
7.487 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.487 * [taylor]: Taking taylor expansion of a1 in a1
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 1 into 1
7.487 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.487 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.488 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.488 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.488 * [backup-simplify]: Simplify (+ 0 0) into 0
7.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
7.488 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.488 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.488 * [taylor]: Taking taylor expansion of a2 in a2
7.488 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.488 * [taylor]: Taking taylor expansion of a1 in a2
7.488 * [backup-simplify]: Simplify a1 into a1
7.488 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.488 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.488 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
7.489 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.489 * [backup-simplify]: Simplify (+ 0 0) into 0
7.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
7.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
7.489 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.489 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.489 * [taylor]: Taking taylor expansion of a2 in a2
7.489 * [backup-simplify]: Simplify 0 into 0
7.489 * [backup-simplify]: Simplify 1 into 1
7.489 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.489 * [taylor]: Taking taylor expansion of a1 in a2
7.489 * [backup-simplify]: Simplify a1 into a1
7.489 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.489 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.489 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
7.489 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.490 * [backup-simplify]: Simplify (+ 0 0) into 0
7.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
7.490 * [taylor]: Taking taylor expansion of a1 in a1
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify 1 into 1
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [taylor]: Taking taylor expansion of 0 in a1
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify 1 into 1
7.490 * [backup-simplify]: Simplify (* 1 1) into 1
7.491 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.491 * [backup-simplify]: Simplify (+ 1 0) into 1
7.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a1)) into (/ 1/2 a1)
7.491 * [taylor]: Taking taylor expansion of (/ 1/2 a1) in a1
7.491 * [taylor]: Taking taylor expansion of 1/2 in a1
7.491 * [backup-simplify]: Simplify 1/2 into 1/2
7.491 * [taylor]: Taking taylor expansion of a1 in a1
7.491 * [backup-simplify]: Simplify 0 into 0
7.491 * [backup-simplify]: Simplify 1 into 1
7.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.493 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
7.494 * [backup-simplify]: Simplify (+ 0 0) into 0
7.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a1))))) (* 2 a1)) into 0
7.494 * [taylor]: Taking taylor expansion of 0 in a1
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify (* 1 (* a1 1)) into a1
7.495 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.495 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a2 a1) around 0
7.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.495 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.495 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.495 * [taylor]: Taking taylor expansion of a2 in a1
7.495 * [backup-simplify]: Simplify a2 into a2
7.495 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.495 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.495 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.495 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.495 * [taylor]: Taking taylor expansion of a1 in a1
7.495 * [backup-simplify]: Simplify 0 into 0
7.495 * [backup-simplify]: Simplify 1 into 1
7.495 * [backup-simplify]: Simplify (* 1 1) into 1
7.496 * [backup-simplify]: Simplify (/ 1 1) into 1
7.496 * [backup-simplify]: Simplify (+ 0 1) into 1
7.496 * [backup-simplify]: Simplify (sqrt 1) into 1
7.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.497 * [backup-simplify]: Simplify (+ 0 0) into 0
7.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.498 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.498 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.498 * [taylor]: Taking taylor expansion of a2 in a2
7.498 * [backup-simplify]: Simplify 0 into 0
7.498 * [backup-simplify]: Simplify 1 into 1
7.498 * [backup-simplify]: Simplify (* 1 1) into 1
7.498 * [backup-simplify]: Simplify (/ 1 1) into 1
7.498 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.498 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.499 * [taylor]: Taking taylor expansion of a1 in a2
7.499 * [backup-simplify]: Simplify a1 into a1
7.499 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.499 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.499 * [backup-simplify]: Simplify (+ 1 0) into 1
7.499 * [backup-simplify]: Simplify (sqrt 1) into 1
7.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.501 * [backup-simplify]: Simplify (+ 0 0) into 0
7.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.501 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.501 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.501 * [taylor]: Taking taylor expansion of a2 in a2
7.501 * [backup-simplify]: Simplify 0 into 0
7.501 * [backup-simplify]: Simplify 1 into 1
7.501 * [backup-simplify]: Simplify (* 1 1) into 1
7.502 * [backup-simplify]: Simplify (/ 1 1) into 1
7.502 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.502 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.502 * [taylor]: Taking taylor expansion of a1 in a2
7.502 * [backup-simplify]: Simplify a1 into a1
7.502 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.502 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.502 * [backup-simplify]: Simplify (+ 1 0) into 1
7.502 * [backup-simplify]: Simplify (sqrt 1) into 1
7.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.504 * [backup-simplify]: Simplify (+ 0 0) into 0
7.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.504 * [taylor]: Taking taylor expansion of 1 in a1
7.504 * [backup-simplify]: Simplify 1 into 1
7.504 * [taylor]: Taking taylor expansion of 0 in a1
7.504 * [backup-simplify]: Simplify 0 into 0
7.504 * [backup-simplify]: Simplify 1 into 1
7.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.506 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
7.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a1 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a1 2))
7.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a1 2)) in a1
7.507 * [taylor]: Taking taylor expansion of 1/2 in a1
7.507 * [backup-simplify]: Simplify 1/2 into 1/2
7.507 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.507 * [taylor]: Taking taylor expansion of a1 in a1
7.508 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify 1 into 1
7.508 * [backup-simplify]: Simplify (* 1 1) into 1
7.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.510 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.512 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.513 * [backup-simplify]: Simplify (+ 0 0) into 0
7.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a1 2)))))) (* 2 1)) into 0
7.514 * [taylor]: Taking taylor expansion of 0 in a1
7.514 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.516 * [backup-simplify]: Simplify 0 into 0
7.516 * [backup-simplify]: Simplify 0 into 0
7.516 * [backup-simplify]: Simplify 0 into 0
7.516 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a2)))) into a2
7.516 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.517 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a2 a1) around 0
7.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.517 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.517 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.517 * [taylor]: Taking taylor expansion of a2 in a1
7.517 * [backup-simplify]: Simplify a2 into a2
7.517 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.517 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.517 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.517 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.517 * [taylor]: Taking taylor expansion of a1 in a1
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.518 * [backup-simplify]: Simplify (* 1 1) into 1
7.518 * [backup-simplify]: Simplify (/ 1 1) into 1
7.518 * [backup-simplify]: Simplify (+ 0 1) into 1
7.519 * [backup-simplify]: Simplify (sqrt 1) into 1
7.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.521 * [backup-simplify]: Simplify (+ 0 0) into 0
7.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.521 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.521 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.522 * [taylor]: Taking taylor expansion of a2 in a2
7.522 * [backup-simplify]: Simplify 0 into 0
7.522 * [backup-simplify]: Simplify 1 into 1
7.522 * [backup-simplify]: Simplify (* 1 1) into 1
7.522 * [backup-simplify]: Simplify (/ 1 1) into 1
7.522 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.522 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.522 * [taylor]: Taking taylor expansion of a1 in a2
7.522 * [backup-simplify]: Simplify a1 into a1
7.523 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.523 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.523 * [backup-simplify]: Simplify (+ 1 0) into 1
7.524 * [backup-simplify]: Simplify (sqrt 1) into 1
7.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.525 * [backup-simplify]: Simplify (+ 0 0) into 0
7.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.526 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.526 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.526 * [taylor]: Taking taylor expansion of a2 in a2
7.526 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify 1 into 1
7.527 * [backup-simplify]: Simplify (* 1 1) into 1
7.527 * [backup-simplify]: Simplify (/ 1 1) into 1
7.527 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.527 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.527 * [taylor]: Taking taylor expansion of a1 in a2
7.527 * [backup-simplify]: Simplify a1 into a1
7.527 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.527 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.528 * [backup-simplify]: Simplify (+ 1 0) into 1
7.528 * [backup-simplify]: Simplify (sqrt 1) into 1
7.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.530 * [backup-simplify]: Simplify (+ 0 0) into 0
7.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.531 * [taylor]: Taking taylor expansion of 1 in a1
7.531 * [backup-simplify]: Simplify 1 into 1
7.531 * [taylor]: Taking taylor expansion of 0 in a1
7.531 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify 1 into 1
7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.533 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
7.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a1 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a1 2))
7.534 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a1 2)) in a1
7.534 * [taylor]: Taking taylor expansion of 1/2 in a1
7.534 * [backup-simplify]: Simplify 1/2 into 1/2
7.534 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.534 * [taylor]: Taking taylor expansion of a1 in a1
7.534 * [backup-simplify]: Simplify 0 into 0
7.534 * [backup-simplify]: Simplify 1 into 1
7.534 * [backup-simplify]: Simplify (* 1 1) into 1
7.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.535 * [backup-simplify]: Simplify 0 into 0
7.535 * [backup-simplify]: Simplify 0 into 0
7.535 * [backup-simplify]: Simplify 0 into 0
7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.537 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.537 * [backup-simplify]: Simplify (+ 0 0) into 0
7.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a1 2)))))) (* 2 1)) into 0
7.538 * [taylor]: Taking taylor expansion of 0 in a1
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.539 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a2))))) into (* -1 a2)
7.539 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.539 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) into (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))
7.539 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in (th a1 a2) around 0
7.539 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a2
7.539 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a2
7.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.540 * [taylor]: Taking taylor expansion of 2.0 in a2
7.540 * [backup-simplify]: Simplify 2.0 into 2.0
7.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.540 * [taylor]: Taking taylor expansion of (cos th) in a2
7.540 * [taylor]: Taking taylor expansion of th in a2
7.540 * [backup-simplify]: Simplify th into th
7.540 * [backup-simplify]: Simplify (cos th) into (cos th)
7.540 * [backup-simplify]: Simplify (sin th) into (sin th)
7.540 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.540 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.541 * [backup-simplify]: Simplify (- 0) into 0
7.541 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.541 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
7.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a2
7.541 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a2
7.541 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.541 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.541 * [taylor]: Taking taylor expansion of a2 in a2
7.541 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify 1 into 1
7.541 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.541 * [taylor]: Taking taylor expansion of a1 in a2
7.541 * [backup-simplify]: Simplify a1 into a1
7.541 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.541 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.541 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.542 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a1 2))) into (/ 1 a1)
7.542 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.542 * [backup-simplify]: Simplify (+ 0 0) into 0
7.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a1 2))))) into 0
7.542 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
7.542 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a1
7.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.542 * [taylor]: Taking taylor expansion of 2.0 in a1
7.542 * [backup-simplify]: Simplify 2.0 into 2.0
7.543 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.543 * [taylor]: Taking taylor expansion of (cos th) in a1
7.543 * [taylor]: Taking taylor expansion of th in a1
7.543 * [backup-simplify]: Simplify th into th
7.543 * [backup-simplify]: Simplify (cos th) into (cos th)
7.543 * [backup-simplify]: Simplify (sin th) into (sin th)
7.543 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.543 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.543 * [backup-simplify]: Simplify (- 0) into 0
7.544 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.544 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
7.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
7.544 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
7.544 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.544 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.544 * [taylor]: Taking taylor expansion of a2 in a1
7.544 * [backup-simplify]: Simplify a2 into a2
7.544 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.544 * [taylor]: Taking taylor expansion of a1 in a1
7.544 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify 1 into 1
7.544 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.544 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.544 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.544 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
7.544 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.545 * [backup-simplify]: Simplify (+ 0 0) into 0
7.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
7.545 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
7.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
7.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.545 * [taylor]: Taking taylor expansion of 2.0 in th
7.545 * [backup-simplify]: Simplify 2.0 into 2.0
7.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.546 * [taylor]: Taking taylor expansion of (cos th) in th
7.546 * [taylor]: Taking taylor expansion of th in th
7.546 * [backup-simplify]: Simplify 0 into 0
7.546 * [backup-simplify]: Simplify 1 into 1
7.546 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
7.546 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
7.546 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
7.546 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.546 * [taylor]: Taking taylor expansion of a2 in th
7.546 * [backup-simplify]: Simplify a2 into a2
7.546 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.547 * [taylor]: Taking taylor expansion of a1 in th
7.547 * [backup-simplify]: Simplify a1 into a1
7.547 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.547 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.547 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
7.547 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
7.547 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
7.547 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.547 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.547 * [backup-simplify]: Simplify (+ 0 0) into 0
7.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
7.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
7.548 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
7.548 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
7.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.548 * [taylor]: Taking taylor expansion of 2.0 in th
7.548 * [backup-simplify]: Simplify 2.0 into 2.0
7.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.549 * [taylor]: Taking taylor expansion of (cos th) in th
7.549 * [taylor]: Taking taylor expansion of th in th
7.549 * [backup-simplify]: Simplify 0 into 0
7.549 * [backup-simplify]: Simplify 1 into 1
7.550 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
7.550 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
7.550 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
7.550 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.550 * [taylor]: Taking taylor expansion of a2 in th
7.550 * [backup-simplify]: Simplify a2 into a2
7.550 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.550 * [taylor]: Taking taylor expansion of a1 in th
7.550 * [backup-simplify]: Simplify a1 into a1
7.550 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.550 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.550 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
7.550 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
7.550 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
7.550 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.551 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.551 * [backup-simplify]: Simplify (+ 0 0) into 0
7.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
7.552 * [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)))))
7.552 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
7.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.552 * [taylor]: Taking taylor expansion of 2.0 in a1
7.552 * [backup-simplify]: Simplify 2.0 into 2.0
7.552 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
7.553 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
7.553 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.553 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.553 * [taylor]: Taking taylor expansion of a2 in a1
7.553 * [backup-simplify]: Simplify a2 into a2
7.553 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.553 * [taylor]: Taking taylor expansion of a1 in a1
7.553 * [backup-simplify]: Simplify 0 into 0
7.553 * [backup-simplify]: Simplify 1 into 1
7.553 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.553 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.553 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.553 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
7.553 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.553 * [backup-simplify]: Simplify (+ 0 0) into 0
7.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
7.554 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
7.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
7.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.554 * [taylor]: Taking taylor expansion of 2.0 in a2
7.554 * [backup-simplify]: Simplify 2.0 into 2.0
7.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.555 * [taylor]: Taking taylor expansion of a2 in a2
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 1 into 1
7.555 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.560 * [backup-simplify]: Simplify 0 into 0
7.561 * [backup-simplify]: Simplify (+ 0) into 0
7.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.562 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
7.562 * [taylor]: Taking taylor expansion of 0 in a1
7.562 * [backup-simplify]: Simplify 0 into 0
7.562 * [taylor]: Taking taylor expansion of 0 in a2
7.562 * [backup-simplify]: Simplify 0 into 0
7.562 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (/ 1 a2))) into 0
7.563 * [taylor]: Taking taylor expansion of 0 in a2
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.564 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.565 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.565 * [backup-simplify]: Simplify (+ 0 0) into 0
7.566 * [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
7.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
7.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
7.577 * [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))))))
7.577 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) in a1
7.577 * [taylor]: Taking taylor expansion of 1/2 in a1
7.577 * [backup-simplify]: Simplify 1/2 into 1/2
7.577 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
7.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.578 * [taylor]: Taking taylor expansion of 2.0 in a1
7.578 * [backup-simplify]: Simplify 2.0 into 2.0
7.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.579 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
7.579 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
7.579 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.579 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.579 * [taylor]: Taking taylor expansion of a2 in a1
7.579 * [backup-simplify]: Simplify a2 into a2
7.579 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.579 * [taylor]: Taking taylor expansion of a1 in a1
7.579 * [backup-simplify]: Simplify 0 into 0
7.579 * [backup-simplify]: Simplify 1 into 1
7.579 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.580 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.580 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.580 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
7.580 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.580 * [backup-simplify]: Simplify (+ 0 0) into 0
7.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
7.581 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
7.582 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 2.0) a2)) into (* 1/2 (/ (sqrt 2.0) a2))
7.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) a2)) in a2
7.582 * [taylor]: Taking taylor expansion of 1/2 in a2
7.582 * [backup-simplify]: Simplify 1/2 into 1/2
7.582 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
7.582 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.582 * [taylor]: Taking taylor expansion of 2.0 in a2
7.582 * [backup-simplify]: Simplify 2.0 into 2.0
7.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.583 * [taylor]: Taking taylor expansion of a2 in a2
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 1 into 1
7.584 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [taylor]: Taking taylor expansion of 0 in a2
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (pow (/ 1 a1) 2) (* (/ 1 a2) (/ 1 a2))))) into (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
7.588 * [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
7.588 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
7.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
7.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.588 * [taylor]: Taking taylor expansion of 2.0 in a2
7.588 * [backup-simplify]: Simplify 2.0 into 2.0
7.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.590 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.590 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.590 * [taylor]: Taking taylor expansion of th in a2
7.590 * [backup-simplify]: Simplify th into th
7.590 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.590 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.590 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.590 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.590 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.591 * [backup-simplify]: Simplify (- 0) into 0
7.591 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.591 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
7.591 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.591 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.592 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.592 * [taylor]: Taking taylor expansion of a2 in a2
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify 1 into 1
7.592 * [backup-simplify]: Simplify (* 1 1) into 1
7.592 * [backup-simplify]: Simplify (/ 1 1) into 1
7.592 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.592 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.592 * [taylor]: Taking taylor expansion of a1 in a2
7.593 * [backup-simplify]: Simplify a1 into a1
7.593 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.593 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.593 * [backup-simplify]: Simplify (+ 1 0) into 1
7.594 * [backup-simplify]: Simplify (/ 1 1) into 1
7.594 * [backup-simplify]: Simplify (sqrt 1) into 1
7.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.596 * [backup-simplify]: Simplify (+ 0 0) into 0
7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.597 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
7.597 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
7.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.598 * [taylor]: Taking taylor expansion of 2.0 in a1
7.598 * [backup-simplify]: Simplify 2.0 into 2.0
7.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.599 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.599 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.599 * [taylor]: Taking taylor expansion of th in a1
7.599 * [backup-simplify]: Simplify th into th
7.599 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.599 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.599 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.599 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.599 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.600 * [backup-simplify]: Simplify (- 0) into 0
7.600 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.601 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
7.601 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.601 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.601 * [taylor]: Taking taylor expansion of a2 in a1
7.601 * [backup-simplify]: Simplify a2 into a2
7.601 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.601 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.601 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.601 * [taylor]: Taking taylor expansion of a1 in a1
7.601 * [backup-simplify]: Simplify 0 into 0
7.601 * [backup-simplify]: Simplify 1 into 1
7.602 * [backup-simplify]: Simplify (* 1 1) into 1
7.602 * [backup-simplify]: Simplify (/ 1 1) into 1
7.603 * [backup-simplify]: Simplify (+ 0 1) into 1
7.603 * [backup-simplify]: Simplify (/ 1 1) into 1
7.603 * [backup-simplify]: Simplify (sqrt 1) into 1
7.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.605 * [backup-simplify]: Simplify (+ 0 0) into 0
7.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.607 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
7.607 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
7.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.607 * [taylor]: Taking taylor expansion of 2.0 in th
7.607 * [backup-simplify]: Simplify 2.0 into 2.0
7.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.608 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.608 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.608 * [taylor]: Taking taylor expansion of th in th
7.608 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify 1 into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.609 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.609 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
7.609 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.610 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.610 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.610 * [taylor]: Taking taylor expansion of a2 in th
7.610 * [backup-simplify]: Simplify a2 into a2
7.610 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.610 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.610 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.610 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.610 * [taylor]: Taking taylor expansion of a1 in th
7.610 * [backup-simplify]: Simplify a1 into a1
7.610 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.610 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.611 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.611 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.611 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
7.611 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.612 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.612 * [backup-simplify]: Simplify (+ 0 0) into 0
7.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.614 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
7.614 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
7.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.614 * [taylor]: Taking taylor expansion of 2.0 in th
7.614 * [backup-simplify]: Simplify 2.0 into 2.0
7.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.615 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.615 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.615 * [taylor]: Taking taylor expansion of th in th
7.615 * [backup-simplify]: Simplify 0 into 0
7.615 * [backup-simplify]: Simplify 1 into 1
7.616 * [backup-simplify]: Simplify (/ 1 1) into 1
7.616 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.616 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
7.616 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.616 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.616 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.616 * [taylor]: Taking taylor expansion of a2 in th
7.616 * [backup-simplify]: Simplify a2 into a2
7.617 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.617 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.617 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.617 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.617 * [taylor]: Taking taylor expansion of a1 in th
7.617 * [backup-simplify]: Simplify a1 into a1
7.617 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.617 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.617 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.618 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.618 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
7.618 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.619 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.619 * [backup-simplify]: Simplify (+ 0 0) into 0
7.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.622 * [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))))))
7.622 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
7.622 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
7.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.622 * [taylor]: Taking taylor expansion of 2.0 in a1
7.622 * [backup-simplify]: Simplify 2.0 into 2.0
7.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.623 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.623 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.623 * [taylor]: Taking taylor expansion of th in a1
7.623 * [backup-simplify]: Simplify th into th
7.623 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.623 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.624 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.624 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.624 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.624 * [backup-simplify]: Simplify (- 0) into 0
7.624 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.625 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
7.625 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.625 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.625 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.625 * [taylor]: Taking taylor expansion of a2 in a1
7.625 * [backup-simplify]: Simplify a2 into a2
7.625 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.625 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.625 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.625 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.625 * [taylor]: Taking taylor expansion of a1 in a1
7.625 * [backup-simplify]: Simplify 0 into 0
7.625 * [backup-simplify]: Simplify 1 into 1
7.626 * [backup-simplify]: Simplify (* 1 1) into 1
7.626 * [backup-simplify]: Simplify (/ 1 1) into 1
7.627 * [backup-simplify]: Simplify (+ 0 1) into 1
7.627 * [backup-simplify]: Simplify (/ 1 1) into 1
7.628 * [backup-simplify]: Simplify (sqrt 1) into 1
7.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.629 * [backup-simplify]: Simplify (+ 0 0) into 0
7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.631 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ 1 th))) 1) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.632 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
7.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.632 * [taylor]: Taking taylor expansion of 2.0 in a2
7.632 * [backup-simplify]: Simplify 2.0 into 2.0
7.632 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.633 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.633 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.633 * [taylor]: Taking taylor expansion of th in a2
7.633 * [backup-simplify]: Simplify th into th
7.633 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.633 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.633 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.633 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.633 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.634 * [backup-simplify]: Simplify (- 0) into 0
7.634 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.634 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.635 * [backup-simplify]: Simplify (+ 0) into 0
7.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.637 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.637 * [backup-simplify]: Simplify (- 0) into 0
7.638 * [backup-simplify]: Simplify (+ 0 0) into 0
7.638 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
7.638 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
7.640 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.640 * [taylor]: Taking taylor expansion of 0 in a1
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [taylor]: Taking taylor expansion of 0 in a2
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify (+ 0) into 0
7.641 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.643 * [backup-simplify]: Simplify (- 0) into 0
7.643 * [backup-simplify]: Simplify (+ 0 0) into 0
7.644 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
7.645 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 1)) into 0
7.645 * [taylor]: Taking taylor expansion of 0 in a2
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.647 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.650 * [backup-simplify]: Simplify (- 0) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.651 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
7.651 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.653 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
7.654 * [backup-simplify]: Simplify (+ 0 0) into 0
7.655 * [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
7.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.658 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
7.659 * [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
7.659 * [taylor]: Taking taylor expansion of 0 in a1
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [taylor]: Taking taylor expansion of 0 in a2
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [taylor]: Taking taylor expansion of 0 in a2
7.659 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 0 into 0
7.661 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (pow (/ 1 (- a1)) 2) (* (/ 1 (- a2)) (/ 1 (- a2)))))) into (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
7.661 * [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
7.661 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
7.661 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
7.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.661 * [taylor]: Taking taylor expansion of 2.0 in a2
7.661 * [backup-simplify]: Simplify 2.0 into 2.0
7.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.662 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.662 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.662 * [taylor]: Taking taylor expansion of -1 in a2
7.662 * [backup-simplify]: Simplify -1 into -1
7.662 * [taylor]: Taking taylor expansion of th in a2
7.662 * [backup-simplify]: Simplify th into th
7.662 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.662 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.663 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.663 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.663 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.663 * [backup-simplify]: Simplify (- 0) into 0
7.663 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.664 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
7.664 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.664 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.664 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.664 * [taylor]: Taking taylor expansion of a2 in a2
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify 1 into 1
7.664 * [backup-simplify]: Simplify (* 1 1) into 1
7.665 * [backup-simplify]: Simplify (/ 1 1) into 1
7.665 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.665 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.665 * [taylor]: Taking taylor expansion of a1 in a2
7.665 * [backup-simplify]: Simplify a1 into a1
7.665 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.665 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.666 * [backup-simplify]: Simplify (+ 1 0) into 1
7.666 * [backup-simplify]: Simplify (/ 1 1) into 1
7.666 * [backup-simplify]: Simplify (sqrt 1) into 1
7.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.670 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
7.670 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
7.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.670 * [taylor]: Taking taylor expansion of 2.0 in a1
7.670 * [backup-simplify]: Simplify 2.0 into 2.0
7.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.671 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.671 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.671 * [taylor]: Taking taylor expansion of -1 in a1
7.671 * [backup-simplify]: Simplify -1 into -1
7.671 * [taylor]: Taking taylor expansion of th in a1
7.671 * [backup-simplify]: Simplify th into th
7.671 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.672 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.672 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.672 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.672 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.672 * [backup-simplify]: Simplify (- 0) into 0
7.672 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.673 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
7.673 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.673 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.673 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.673 * [taylor]: Taking taylor expansion of a2 in a1
7.673 * [backup-simplify]: Simplify a2 into a2
7.674 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.674 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.674 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.674 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.674 * [taylor]: Taking taylor expansion of a1 in a1
7.674 * [backup-simplify]: Simplify 0 into 0
7.674 * [backup-simplify]: Simplify 1 into 1
7.674 * [backup-simplify]: Simplify (* 1 1) into 1
7.675 * [backup-simplify]: Simplify (/ 1 1) into 1
7.675 * [backup-simplify]: Simplify (+ 0 1) into 1
7.676 * [backup-simplify]: Simplify (/ 1 1) into 1
7.676 * [backup-simplify]: Simplify (sqrt 1) into 1
7.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.678 * [backup-simplify]: Simplify (+ 0 0) into 0
7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.679 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
7.679 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
7.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.680 * [taylor]: Taking taylor expansion of 2.0 in th
7.680 * [backup-simplify]: Simplify 2.0 into 2.0
7.680 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.681 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.681 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.681 * [taylor]: Taking taylor expansion of -1 in th
7.681 * [backup-simplify]: Simplify -1 into -1
7.681 * [taylor]: Taking taylor expansion of th in th
7.681 * [backup-simplify]: Simplify 0 into 0
7.681 * [backup-simplify]: Simplify 1 into 1
7.681 * [backup-simplify]: Simplify (/ -1 1) into -1
7.681 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.682 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
7.682 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.682 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.682 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.682 * [taylor]: Taking taylor expansion of a2 in th
7.682 * [backup-simplify]: Simplify a2 into a2
7.682 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.682 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.682 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.682 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.683 * [taylor]: Taking taylor expansion of a1 in th
7.683 * [backup-simplify]: Simplify a1 into a1
7.683 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.683 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.683 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.683 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.684 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
7.684 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.684 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.686 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
7.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
7.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.686 * [taylor]: Taking taylor expansion of 2.0 in th
7.686 * [backup-simplify]: Simplify 2.0 into 2.0
7.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.687 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.687 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.688 * [taylor]: Taking taylor expansion of -1 in th
7.688 * [backup-simplify]: Simplify -1 into -1
7.688 * [taylor]: Taking taylor expansion of th in th
7.688 * [backup-simplify]: Simplify 0 into 0
7.688 * [backup-simplify]: Simplify 1 into 1
7.688 * [backup-simplify]: Simplify (/ -1 1) into -1
7.688 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.689 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
7.689 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.689 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.689 * [taylor]: Taking taylor expansion of a2 in th
7.689 * [backup-simplify]: Simplify a2 into a2
7.689 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.689 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.689 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.689 * [taylor]: Taking taylor expansion of a1 in th
7.689 * [backup-simplify]: Simplify a1 into a1
7.689 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.689 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.689 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.689 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.690 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
7.690 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.690 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.690 * [backup-simplify]: Simplify (+ 0 0) into 0
7.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.692 * [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))))))
7.692 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
7.692 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
7.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.692 * [taylor]: Taking taylor expansion of 2.0 in a1
7.692 * [backup-simplify]: Simplify 2.0 into 2.0
7.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.692 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.692 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.692 * [taylor]: Taking taylor expansion of -1 in a1
7.692 * [backup-simplify]: Simplify -1 into -1
7.692 * [taylor]: Taking taylor expansion of th in a1
7.692 * [backup-simplify]: Simplify th into th
7.692 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.693 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.693 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.693 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.693 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.693 * [backup-simplify]: Simplify (- 0) into 0
7.693 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.693 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
7.693 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.693 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.693 * [taylor]: Taking taylor expansion of a2 in a1
7.693 * [backup-simplify]: Simplify a2 into a2
7.694 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.694 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.694 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.694 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.694 * [taylor]: Taking taylor expansion of a1 in a1
7.694 * [backup-simplify]: Simplify 0 into 0
7.694 * [backup-simplify]: Simplify 1 into 1
7.694 * [backup-simplify]: Simplify (* 1 1) into 1
7.694 * [backup-simplify]: Simplify (/ 1 1) into 1
7.694 * [backup-simplify]: Simplify (+ 0 1) into 1
7.695 * [backup-simplify]: Simplify (/ 1 1) into 1
7.695 * [backup-simplify]: Simplify (sqrt 1) into 1
7.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.696 * [backup-simplify]: Simplify (+ 0 0) into 0
7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.697 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ -1 th))) 1) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
7.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.697 * [taylor]: Taking taylor expansion of 2.0 in a2
7.697 * [backup-simplify]: Simplify 2.0 into 2.0
7.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.698 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.698 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.698 * [taylor]: Taking taylor expansion of -1 in a2
7.698 * [backup-simplify]: Simplify -1 into -1
7.698 * [taylor]: Taking taylor expansion of th in a2
7.698 * [backup-simplify]: Simplify th into th
7.698 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.698 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.698 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.699 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.699 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.699 * [backup-simplify]: Simplify (- 0) into 0
7.699 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.699 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.699 * [backup-simplify]: Simplify (+ 0) into 0
7.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.700 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.701 * [backup-simplify]: Simplify (- 0) into 0
7.701 * [backup-simplify]: Simplify (+ 0 0) into 0
7.701 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
7.702 * [backup-simplify]: Simplify 0 into 0
7.702 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
7.702 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.703 * [taylor]: Taking taylor expansion of 0 in a1
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [taylor]: Taking taylor expansion of 0 in a2
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify (+ 0) into 0
7.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.703 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.704 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.704 * [backup-simplify]: Simplify (- 0) into 0
7.704 * [backup-simplify]: Simplify (+ 0 0) into 0
7.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
7.705 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 1)) into 0
7.705 * [taylor]: Taking taylor expansion of 0 in a2
7.706 * [backup-simplify]: Simplify 0 into 0
7.706 * [backup-simplify]: Simplify 0 into 0
7.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.707 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.708 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.708 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.708 * [backup-simplify]: Simplify (- 0) into 0
7.708 * [backup-simplify]: Simplify (+ 0 0) into 0
7.713 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.714 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
7.714 * [backup-simplify]: Simplify (+ 0 0) into 0
7.715 * [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
7.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
7.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.717 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
7.718 * [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
7.718 * [taylor]: Taking taylor expansion of 0 in a1
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [taylor]: Taking taylor expansion of 0 in a2
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [taylor]: Taking taylor expansion of 0 in a2
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * * * * [progress]: [ 4 / 4 ] generating series at (2)
7.719 * [backup-simplify]: Simplify (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
7.719 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a2 a1 th) around 0
7.719 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
7.719 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
7.719 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
7.720 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.720 * [taylor]: Taking taylor expansion of a2 in th
7.720 * [backup-simplify]: Simplify a2 into a2
7.720 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.720 * [taylor]: Taking taylor expansion of a1 in th
7.720 * [backup-simplify]: Simplify a1 into a1
7.720 * [taylor]: Taking taylor expansion of (cos th) in th
7.720 * [taylor]: Taking taylor expansion of th in th
7.720 * [backup-simplify]: Simplify 0 into 0
7.720 * [backup-simplify]: Simplify 1 into 1
7.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.720 * [taylor]: Taking taylor expansion of 2.0 in th
7.720 * [backup-simplify]: Simplify 2.0 into 2.0
7.720 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.721 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.721 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.722 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
7.722 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
7.723 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
7.723 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
7.723 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
7.723 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.723 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.723 * [taylor]: Taking taylor expansion of a2 in a1
7.723 * [backup-simplify]: Simplify a2 into a2
7.723 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.723 * [taylor]: Taking taylor expansion of a1 in a1
7.723 * [backup-simplify]: Simplify 0 into 0
7.723 * [backup-simplify]: Simplify 1 into 1
7.723 * [taylor]: Taking taylor expansion of (cos th) in a1
7.723 * [taylor]: Taking taylor expansion of th in a1
7.723 * [backup-simplify]: Simplify th into th
7.723 * [backup-simplify]: Simplify (cos th) into (cos th)
7.723 * [backup-simplify]: Simplify (sin th) into (sin th)
7.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.723 * [taylor]: Taking taylor expansion of 2.0 in a1
7.723 * [backup-simplify]: Simplify 2.0 into 2.0
7.724 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.725 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.725 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.725 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.725 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.725 * [backup-simplify]: Simplify (- 0) into 0
7.726 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.726 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
7.726 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
7.726 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
7.726 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
7.727 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.727 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.727 * [taylor]: Taking taylor expansion of a2 in a2
7.727 * [backup-simplify]: Simplify 0 into 0
7.727 * [backup-simplify]: Simplify 1 into 1
7.727 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.727 * [taylor]: Taking taylor expansion of a1 in a2
7.727 * [backup-simplify]: Simplify a1 into a1
7.727 * [taylor]: Taking taylor expansion of (cos th) in a2
7.727 * [taylor]: Taking taylor expansion of th in a2
7.727 * [backup-simplify]: Simplify th into th
7.727 * [backup-simplify]: Simplify (cos th) into (cos th)
7.727 * [backup-simplify]: Simplify (sin th) into (sin th)
7.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.727 * [taylor]: Taking taylor expansion of 2.0 in a2
7.727 * [backup-simplify]: Simplify 2.0 into 2.0
7.728 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.729 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.729 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.729 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.729 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.729 * [backup-simplify]: Simplify (- 0) into 0
7.729 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.730 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
7.730 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
7.730 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
7.730 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
7.730 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.730 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.730 * [taylor]: Taking taylor expansion of a2 in a2
7.730 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.731 * [taylor]: Taking taylor expansion of a1 in a2
7.731 * [backup-simplify]: Simplify a1 into a1
7.731 * [taylor]: Taking taylor expansion of (cos th) in a2
7.731 * [taylor]: Taking taylor expansion of th in a2
7.731 * [backup-simplify]: Simplify th into th
7.731 * [backup-simplify]: Simplify (cos th) into (cos th)
7.731 * [backup-simplify]: Simplify (sin th) into (sin th)
7.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.731 * [taylor]: Taking taylor expansion of 2.0 in a2
7.731 * [backup-simplify]: Simplify 2.0 into 2.0
7.731 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.732 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.732 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.733 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.733 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.733 * [backup-simplify]: Simplify (- 0) into 0
7.733 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.733 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
7.734 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
7.734 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
7.734 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
7.734 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.734 * [taylor]: Taking taylor expansion of a1 in a1
7.734 * [backup-simplify]: Simplify 0 into 0
7.734 * [backup-simplify]: Simplify 1 into 1
7.734 * [taylor]: Taking taylor expansion of (cos th) in a1
7.734 * [taylor]: Taking taylor expansion of th in a1
7.734 * [backup-simplify]: Simplify th into th
7.734 * [backup-simplify]: Simplify (cos th) into (cos th)
7.735 * [backup-simplify]: Simplify (sin th) into (sin th)
7.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.735 * [taylor]: Taking taylor expansion of 2.0 in a1
7.735 * [backup-simplify]: Simplify 2.0 into 2.0
7.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.736 * [backup-simplify]: Simplify (* 1 1) into 1
7.736 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.737 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.737 * [backup-simplify]: Simplify (- 0) into 0
7.737 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.737 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
7.738 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.738 * [backup-simplify]: Simplify (+ 0) into 0
7.739 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.740 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.741 * [backup-simplify]: Simplify (- 0) into 0
7.741 * [backup-simplify]: Simplify (+ 0 0) into 0
7.741 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.742 * [backup-simplify]: Simplify (+ 0 0) into 0
7.742 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (cos th))) into 0
7.744 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.744 * [taylor]: Taking taylor expansion of 0 in a1
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [taylor]: Taking taylor expansion of 0 in th
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 0 into 0
7.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.745 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
7.746 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.747 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
7.747 * [backup-simplify]: Simplify (- 0) into 0
7.747 * [backup-simplify]: Simplify (+ 0 0) into 0
7.748 * [backup-simplify]: Simplify (* 1 1) into 1
7.748 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.749 * [backup-simplify]: Simplify (+ 1 0) into 1
7.749 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
7.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.752 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
7.753 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a1
7.753 * [taylor]: Taking taylor expansion of (cos th) in a1
7.753 * [taylor]: Taking taylor expansion of th in a1
7.753 * [backup-simplify]: Simplify th into th
7.753 * [backup-simplify]: Simplify (cos th) into (cos th)
7.753 * [backup-simplify]: Simplify (sin th) into (sin th)
7.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.753 * [taylor]: Taking taylor expansion of 2.0 in a1
7.753 * [backup-simplify]: Simplify 2.0 into 2.0
7.753 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.754 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.754 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.755 * [backup-simplify]: Simplify (- 0) into 0
7.755 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.756 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.756 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.756 * [taylor]: Taking taylor expansion of (cos th) in th
7.756 * [taylor]: Taking taylor expansion of th in th
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.756 * [taylor]: Taking taylor expansion of 2.0 in th
7.756 * [backup-simplify]: Simplify 2.0 into 2.0
7.756 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.758 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.759 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.759 * [taylor]: Taking taylor expansion of 0 in th
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.759 * [taylor]: Taking taylor expansion of (cos th) in th
7.759 * [taylor]: Taking taylor expansion of th in th
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify 1 into 1
7.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.760 * [taylor]: Taking taylor expansion of 2.0 in th
7.760 * [backup-simplify]: Simplify 2.0 into 2.0
7.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.762 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.763 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.763 * [backup-simplify]: Simplify 0 into 0
7.763 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.764 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.766 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.766 * [backup-simplify]: Simplify (- 0) into 0
7.766 * [backup-simplify]: Simplify (+ 0 0) into 0
7.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.767 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
7.767 * [backup-simplify]: Simplify (+ 0 0) into 0
7.768 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
7.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.771 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.771 * [taylor]: Taking taylor expansion of 0 in a1
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [taylor]: Taking taylor expansion of 0 in th
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify (+ 0) into 0
7.772 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.772 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.773 * [backup-simplify]: Simplify (- 0) into 0
7.773 * [backup-simplify]: Simplify (+ 0 0) into 0
7.774 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.774 * [taylor]: Taking taylor expansion of 0 in th
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [taylor]: Taking taylor expansion of 0 in th
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify 0 into 0
7.775 * [backup-simplify]: Simplify (+ 0) into 0
7.775 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.776 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.776 * [backup-simplify]: Simplify (- 0) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos th))) into 0
7.778 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.778 * [taylor]: Taking taylor expansion of 0 in th
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify (+ 0) into 0
7.779 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a1 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a2)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
7.781 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (pow (/ 1 a1) 2) (* (/ 1 a2) (/ 1 a2)))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.781 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a2 a1 th) around 0
7.781 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
7.781 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.781 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.781 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.781 * [taylor]: Taking taylor expansion of th in th
7.781 * [backup-simplify]: Simplify 0 into 0
7.781 * [backup-simplify]: Simplify 1 into 1
7.782 * [backup-simplify]: Simplify (/ 1 1) into 1
7.782 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.782 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.782 * [taylor]: Taking taylor expansion of a2 in th
7.782 * [backup-simplify]: Simplify a2 into a2
7.782 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.782 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.782 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.782 * [taylor]: Taking taylor expansion of a1 in th
7.782 * [backup-simplify]: Simplify a1 into a1
7.782 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.782 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.782 * [taylor]: Taking taylor expansion of 2.0 in th
7.782 * [backup-simplify]: Simplify 2.0 into 2.0
7.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.783 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.783 * [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))))
7.784 * [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))
7.784 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.784 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.784 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.784 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.784 * [taylor]: Taking taylor expansion of th in a1
7.784 * [backup-simplify]: Simplify th into th
7.784 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.784 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.784 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.784 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.784 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.784 * [taylor]: Taking taylor expansion of a2 in a1
7.784 * [backup-simplify]: Simplify a2 into a2
7.784 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.784 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.784 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.784 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.784 * [taylor]: Taking taylor expansion of a1 in a1
7.784 * [backup-simplify]: Simplify 0 into 0
7.784 * [backup-simplify]: Simplify 1 into 1
7.785 * [backup-simplify]: Simplify (* 1 1) into 1
7.785 * [backup-simplify]: Simplify (/ 1 1) into 1
7.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.785 * [taylor]: Taking taylor expansion of 2.0 in a1
7.785 * [backup-simplify]: Simplify 2.0 into 2.0
7.785 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.786 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.786 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.786 * [backup-simplify]: Simplify (- 0) into 0
7.786 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.786 * [backup-simplify]: Simplify (+ 0 1) into 1
7.786 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.787 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.787 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.787 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.787 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.787 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.787 * [taylor]: Taking taylor expansion of th in a2
7.787 * [backup-simplify]: Simplify th into th
7.787 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.787 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.787 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.787 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.787 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.787 * [taylor]: Taking taylor expansion of a2 in a2
7.787 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (* 1 1) into 1
7.788 * [backup-simplify]: Simplify (/ 1 1) into 1
7.788 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.788 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.788 * [taylor]: Taking taylor expansion of a1 in a2
7.788 * [backup-simplify]: Simplify a1 into a1
7.788 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.788 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.788 * [taylor]: Taking taylor expansion of 2.0 in a2
7.788 * [backup-simplify]: Simplify 2.0 into 2.0
7.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.789 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.789 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.790 * [backup-simplify]: Simplify (- 0) into 0
7.790 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.790 * [backup-simplify]: Simplify (+ 1 0) into 1
7.790 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.791 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.791 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.791 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.791 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.791 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.791 * [taylor]: Taking taylor expansion of th in a2
7.791 * [backup-simplify]: Simplify th into th
7.791 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.791 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.791 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.791 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.791 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.791 * [taylor]: Taking taylor expansion of a2 in a2
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.791 * [backup-simplify]: Simplify (* 1 1) into 1
7.791 * [backup-simplify]: Simplify (/ 1 1) into 1
7.792 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.792 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.792 * [taylor]: Taking taylor expansion of a1 in a2
7.792 * [backup-simplify]: Simplify a1 into a1
7.792 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.792 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.792 * [taylor]: Taking taylor expansion of 2.0 in a2
7.792 * [backup-simplify]: Simplify 2.0 into 2.0
7.792 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.793 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.793 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.793 * [backup-simplify]: Simplify (- 0) into 0
7.793 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.793 * [backup-simplify]: Simplify (+ 1 0) into 1
7.793 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.794 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.794 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a1
7.794 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.794 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.794 * [taylor]: Taking taylor expansion of th in a1
7.794 * [backup-simplify]: Simplify th into th
7.794 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.794 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.794 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.794 * [taylor]: Taking taylor expansion of 2.0 in a1
7.794 * [backup-simplify]: Simplify 2.0 into 2.0
7.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.795 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.795 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.795 * [backup-simplify]: Simplify (- 0) into 0
7.795 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.795 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.796 * [backup-simplify]: Simplify (+ 0 0) into 0
7.797 * [backup-simplify]: Simplify (+ 0) into 0
7.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.798 * [backup-simplify]: Simplify (- 0) into 0
7.798 * [backup-simplify]: Simplify (+ 0 0) into 0
7.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.799 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.799 * [taylor]: Taking taylor expansion of 0 in a1
7.799 * [backup-simplify]: Simplify 0 into 0
7.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.801 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
7.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.804 * [backup-simplify]: Simplify (- 0) into 0
7.805 * [backup-simplify]: Simplify (+ 0 0) into 0
7.806 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a1 2))
7.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.809 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a1 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 a1 2)))
7.809 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
7.809 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.809 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.810 * [taylor]: Taking taylor expansion of th in a1
7.810 * [backup-simplify]: Simplify th into th
7.810 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.810 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.810 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.810 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
7.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.810 * [taylor]: Taking taylor expansion of 2.0 in a1
7.810 * [backup-simplify]: Simplify 2.0 into 2.0
7.810 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.811 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.811 * [taylor]: Taking taylor expansion of a1 in a1
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify 1 into 1
7.811 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.811 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.812 * [backup-simplify]: Simplify (- 0) into 0
7.812 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.812 * [backup-simplify]: Simplify (* 1 1) into 1
7.813 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
7.814 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.814 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.814 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.814 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.814 * [taylor]: Taking taylor expansion of th in th
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (/ 1 1) into 1
7.814 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.815 * [taylor]: Taking taylor expansion of 2.0 in th
7.815 * [backup-simplify]: Simplify 2.0 into 2.0
7.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.816 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.817 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.817 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.817 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.817 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.817 * [taylor]: Taking taylor expansion of th in th
7.817 * [backup-simplify]: Simplify 0 into 0
7.817 * [backup-simplify]: Simplify 1 into 1
7.817 * [backup-simplify]: Simplify (/ 1 1) into 1
7.817 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.817 * [taylor]: Taking taylor expansion of 2.0 in th
7.818 * [backup-simplify]: Simplify 2.0 into 2.0
7.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.819 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.820 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.822 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.828 * [backup-simplify]: Simplify (- 0) into 0
7.828 * [backup-simplify]: Simplify (+ 0 0) into 0
7.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
7.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.834 * [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 a1 2))) (/ 0 (sqrt 2.0))))) into 0
7.834 * [taylor]: Taking taylor expansion of 0 in a1
7.834 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify (+ 0) into 0
7.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.837 * [backup-simplify]: Simplify (- 0) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.839 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
7.841 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.841 * [taylor]: Taking taylor expansion of 0 in th
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [taylor]: Taking taylor expansion of 0 in th
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify (+ 0) into 0
7.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.844 * [backup-simplify]: Simplify (- 0) into 0
7.850 * [backup-simplify]: Simplify (+ 0 0) into 0
7.852 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.852 * [taylor]: Taking taylor expansion of 0 in th
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.855 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.855 * [backup-simplify]: Simplify 0 into 0
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.859 * [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
7.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.861 * [backup-simplify]: Simplify (- 0) into 0
7.862 * [backup-simplify]: Simplify (+ 0 0) into 0
7.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0
7.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.866 * [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 a1 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.866 * [taylor]: Taking taylor expansion of 0 in a1
7.866 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.868 * [backup-simplify]: Simplify (- 0) into 0
7.868 * [backup-simplify]: Simplify (+ 0 0) into 0
7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.870 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
7.871 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.871 * [taylor]: Taking taylor expansion of 0 in th
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 0 into 0
7.872 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a2)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
7.873 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (pow (/ 1 (- a1)) 2) (* (/ 1 (- a2)) (/ 1 (- a2))))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.873 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a2 a1 th) around 0
7.873 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
7.873 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.873 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.873 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.873 * [taylor]: Taking taylor expansion of -1 in th
7.873 * [backup-simplify]: Simplify -1 into -1
7.873 * [taylor]: Taking taylor expansion of th in th
7.873 * [backup-simplify]: Simplify 0 into 0
7.873 * [backup-simplify]: Simplify 1 into 1
7.873 * [backup-simplify]: Simplify (/ -1 1) into -1
7.873 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.873 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.873 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.873 * [taylor]: Taking taylor expansion of a2 in th
7.873 * [backup-simplify]: Simplify a2 into a2
7.873 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.874 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.874 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.874 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.874 * [taylor]: Taking taylor expansion of a1 in th
7.874 * [backup-simplify]: Simplify a1 into a1
7.874 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.874 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.874 * [taylor]: Taking taylor expansion of 2.0 in th
7.874 * [backup-simplify]: Simplify 2.0 into 2.0
7.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.875 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.875 * [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))))
7.875 * [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))
7.875 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.875 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.875 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.875 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.876 * [taylor]: Taking taylor expansion of -1 in a1
7.876 * [backup-simplify]: Simplify -1 into -1
7.876 * [taylor]: Taking taylor expansion of th in a1
7.876 * [backup-simplify]: Simplify th into th
7.876 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.876 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.876 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.876 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.876 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.876 * [taylor]: Taking taylor expansion of a2 in a1
7.876 * [backup-simplify]: Simplify a2 into a2
7.876 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.876 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.876 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.876 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.876 * [taylor]: Taking taylor expansion of a1 in a1
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (* 1 1) into 1
7.877 * [backup-simplify]: Simplify (/ 1 1) into 1
7.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.877 * [taylor]: Taking taylor expansion of 2.0 in a1
7.877 * [backup-simplify]: Simplify 2.0 into 2.0
7.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.877 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.877 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.878 * [backup-simplify]: Simplify (- 0) into 0
7.878 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.878 * [backup-simplify]: Simplify (+ 0 1) into 1
7.878 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.878 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.878 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.878 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.878 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.878 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.878 * [taylor]: Taking taylor expansion of -1 in a2
7.878 * [backup-simplify]: Simplify -1 into -1
7.878 * [taylor]: Taking taylor expansion of th in a2
7.879 * [backup-simplify]: Simplify th into th
7.879 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.879 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.879 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.879 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.879 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.879 * [taylor]: Taking taylor expansion of a2 in a2
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.879 * [backup-simplify]: Simplify (* 1 1) into 1
7.879 * [backup-simplify]: Simplify (/ 1 1) into 1
7.879 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.879 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.879 * [taylor]: Taking taylor expansion of a1 in a2
7.879 * [backup-simplify]: Simplify a1 into a1
7.879 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.879 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.880 * [taylor]: Taking taylor expansion of 2.0 in a2
7.880 * [backup-simplify]: Simplify 2.0 into 2.0
7.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.880 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.880 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.881 * [backup-simplify]: Simplify (- 0) into 0
7.881 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.881 * [backup-simplify]: Simplify (+ 1 0) into 1
7.881 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.882 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.882 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.882 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.882 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.882 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.882 * [taylor]: Taking taylor expansion of -1 in a2
7.882 * [backup-simplify]: Simplify -1 into -1
7.882 * [taylor]: Taking taylor expansion of th in a2
7.882 * [backup-simplify]: Simplify th into th
7.882 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.882 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.882 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.882 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.882 * [taylor]: Taking taylor expansion of a2 in a2
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (* 1 1) into 1
7.882 * [backup-simplify]: Simplify (/ 1 1) into 1
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.883 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.883 * [taylor]: Taking taylor expansion of a1 in a2
7.883 * [backup-simplify]: Simplify a1 into a1
7.883 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.883 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.883 * [taylor]: Taking taylor expansion of 2.0 in a2
7.883 * [backup-simplify]: Simplify 2.0 into 2.0
7.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.884 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.884 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.884 * [backup-simplify]: Simplify (- 0) into 0
7.884 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.884 * [backup-simplify]: Simplify (+ 1 0) into 1
7.884 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.885 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.885 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a1
7.885 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.885 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.885 * [taylor]: Taking taylor expansion of -1 in a1
7.885 * [backup-simplify]: Simplify -1 into -1
7.885 * [taylor]: Taking taylor expansion of th in a1
7.885 * [backup-simplify]: Simplify th into th
7.885 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.885 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.885 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.885 * [taylor]: Taking taylor expansion of 2.0 in a1
7.885 * [backup-simplify]: Simplify 2.0 into 2.0
7.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.886 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.886 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.886 * [backup-simplify]: Simplify (- 0) into 0
7.886 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.886 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.888 * [backup-simplify]: Simplify (+ 0) into 0
7.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.888 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.889 * [backup-simplify]: Simplify (- 0) into 0
7.890 * [backup-simplify]: Simplify (+ 0 0) into 0
7.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.892 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.892 * [taylor]: Taking taylor expansion of 0 in a1
7.892 * [backup-simplify]: Simplify 0 into 0
7.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.893 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
7.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.894 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.895 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.896 * [backup-simplify]: Simplify (- 0) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a1 2))
7.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.898 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
7.898 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
7.898 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.898 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.898 * [taylor]: Taking taylor expansion of -1 in a1
7.898 * [backup-simplify]: Simplify -1 into -1
7.898 * [taylor]: Taking taylor expansion of th in a1
7.898 * [backup-simplify]: Simplify th into th
7.898 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.899 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.899 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.899 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
7.899 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.899 * [taylor]: Taking taylor expansion of a1 in a1
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.899 * [taylor]: Taking taylor expansion of 2.0 in a1
7.899 * [backup-simplify]: Simplify 2.0 into 2.0
7.899 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.899 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.900 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.900 * [backup-simplify]: Simplify (- 0) into 0
7.900 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.900 * [backup-simplify]: Simplify (* 1 1) into 1
7.901 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
7.901 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.901 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.901 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.901 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.901 * [taylor]: Taking taylor expansion of -1 in th
7.901 * [backup-simplify]: Simplify -1 into -1
7.901 * [taylor]: Taking taylor expansion of th in th
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ -1 1) into -1
7.901 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.901 * [taylor]: Taking taylor expansion of 2.0 in th
7.901 * [backup-simplify]: Simplify 2.0 into 2.0
7.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.902 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.903 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.903 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.903 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.903 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.903 * [taylor]: Taking taylor expansion of -1 in th
7.903 * [backup-simplify]: Simplify -1 into -1
7.903 * [taylor]: Taking taylor expansion of th in th
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (/ -1 1) into -1
7.903 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.903 * [taylor]: Taking taylor expansion of 2.0 in th
7.903 * [backup-simplify]: Simplify 2.0 into 2.0
7.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.904 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.905 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.906 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.908 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.909 * [backup-simplify]: Simplify (- 0) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
7.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.912 * [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)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (sqrt 2.0))))) into 0
7.913 * [taylor]: Taking taylor expansion of 0 in a1
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify (+ 0) into 0
7.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.913 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.914 * [backup-simplify]: Simplify (- 0) into 0
7.914 * [backup-simplify]: Simplify (+ 0 0) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
7.916 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.916 * [taylor]: Taking taylor expansion of 0 in th
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [taylor]: Taking taylor expansion of 0 in th
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify (+ 0) into 0
7.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.917 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.918 * [backup-simplify]: Simplify (- 0) into 0
7.918 * [backup-simplify]: Simplify (+ 0 0) into 0
7.919 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.919 * [taylor]: Taking taylor expansion of 0 in th
7.919 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.920 * [backup-simplify]: Simplify 0 into 0
7.921 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.921 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.923 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
7.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
7.924 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [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
7.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.926 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.928 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.929 * [backup-simplify]: Simplify (- 0) into 0
7.929 * [backup-simplify]: Simplify (+ 0 0) into 0
7.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0
7.932 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.936 * [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)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.936 * [taylor]: Taking taylor expansion of 0 in a1
7.936 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.938 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.939 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.940 * [backup-simplify]: Simplify (- 0) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.946 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.946 * [taylor]: Taking taylor expansion of 0 in th
7.946 * [backup-simplify]: Simplify 0 into 0
7.946 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a2))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
7.948 * * * [progress]: simplifying candidates
8.012 * [simplify]: Simplifying:
  (log (sqrt (+ (pow a1 2) (* a2 a2))))
  (exp (sqrt (+ (pow a1 2) (* a2 a2))))
  (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (sqrt (cbrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (sqrt (+ (pow (pow a1 2) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (pow a1 2) (pow a1 2)) (- (* (* a2 a2) (* a2 a2)) (* (pow a1 2) (* a2 a2)))))
  (sqrt (- (* (pow a1 2) (pow a1 2)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (pow a1 2) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (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))))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt 1)
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
  (sqrt (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))
  (sqrt (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))))
  (sqrt (- (* a2 a2) (* a1 a1)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (- (log (sqrt 2.0)) (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2)))))
  (- (log (/ (sqrt 2.0) (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2)))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))) (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))) (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (* (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt 1))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) 1)
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt 1))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) 1)
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* 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 (+ (pow a1 2) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* 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 (+ (pow a1 2) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* 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 (+ (pow a1 2) (* a2 a2))))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 (sqrt (cos th))) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 1) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 1) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 1) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 1) (sqrt 1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 1) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ 1 1) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt 1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt 1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) 1)
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow (pow a1 2) 3) (pow (* a2 a2) 3)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (pow a1 2) (pow a1 2)) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))))
  (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (- (* a2 a2) (* a1 a1))))
  a2
  a1
  (* -1 a1)
  a1
  a2
  (* -1 a2)
  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)))
8.076 * * [simplify]: iteration 0: 1198 enodes
9.411 * * [simplify]: iteration 1: 3515 enodes
10.613 * * [simplify]: iteration complete: 5001 enodes
10.614 * * [simplify]: Extracting #0: cost 831 inf + 0
10.619 * * [simplify]: Extracting #1: cost 1854 inf + 7
10.626 * * [simplify]: Extracting #2: cost 1971 inf + 262
10.644 * * [simplify]: Extracting #3: cost 1950 inf + 1128
10.658 * * [simplify]: Extracting #4: cost 1536 inf + 4832
10.665 * * [simplify]: Extracting #5: cost 603 inf + 21618
10.673 * * [simplify]: Extracting #6: cost 42 inf + 35524
10.680 * * [simplify]: Extracting #7: cost 0 inf + 36796
10.710 * [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))))
  (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)
  (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 (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (pow a1 4) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 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))))
  (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)
  (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 (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (- (pow a1 4) (- (* (* a1 a1) (* a2 a2)) (pow a2 4))))
  (sqrt (- (pow a2 4) (pow a1 4)))
  (sqrt (* (+ a2 a1) (- a2 a1)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (pow (sqrt 2.0) 3) (pow (cos th) 3)) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3))
  (/ (pow (/ (sqrt 2.0) (cos th)) 3) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (pow (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) 3)
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (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))) (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 (cos th))) (cbrt (sqrt 2.0)))) (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 (sqrt 2.0))) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (cbrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (* (cbrt (sqrt 2.0)) (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 (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (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 (cos th)) (cbrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* 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 (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (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)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* 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 (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (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 (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (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 (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)) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (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)) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (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)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
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  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ 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) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 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)))))
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  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
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  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
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  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (/ (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))))
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  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))))
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  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))))
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  (/ (/ (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)))))
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  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (/ (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))))))
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  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 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) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
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  (/ 1 (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ 1 (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (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)))))
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  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt 2.0) (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (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))))
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  (/ (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)))
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  (/ (sqrt 2.0) (* (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (cos th)))
  (/ (sqrt 2.0) (* (sqrt (- (pow a1 4) (pow a2 4))) (cos th)))
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  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (/ (sqrt 2.0) (cos th)) 3)) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3))
  (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) 3))
  (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))) 3)
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  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (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)) (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (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 (+ (* 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) (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 (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (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 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (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 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (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 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (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 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (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))))))
  (/ (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)))) (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) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
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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 (cbrt (+ (* 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))))) (sqrt (sqrt 2.0))) (sqrt (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)))) (/ (sqrt (sqrt 2.0)) (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)))) (sqrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (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)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (cbrt (+ (* 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 (cbrt 2.0)) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
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  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
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  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
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  (* (/ (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)))))
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  (* (/ (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)))))
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  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
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  (/ 1 (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (* (/ 1 (/ (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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  (/ (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)))))
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  (/ (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) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (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) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (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 (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (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))) (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 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)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 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)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 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 (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (* (/ 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 (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 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) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (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) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (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))) (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 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) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (pow a1 4) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (- (pow a1 4) (pow a2 4))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (+ a1 a2) (- a1 a2))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (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)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (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 (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (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 (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)) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))) (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 (cos th))) (cbrt (sqrt 2.0))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (* (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)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (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)) (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))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (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 2.0))) (sqrt (cos th))) (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)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (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 2.0)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (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 (cos th)) (cbrt (cos th))))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (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)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (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)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th)))))
  (* (/ (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 (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (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 (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (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)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (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) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (cbrt (cos th)) (cbrt (cos th)))
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  (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
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  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
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  1
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  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (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) (cbrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (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) (cbrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (cbrt (cos th)) (cbrt (cos th)))
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  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th)))
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  (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (sqrt (cos th))
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  (* (sqrt (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (sqrt (cos th))
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  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (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) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
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  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  1
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ 1 (cos th))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
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  (/ (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) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (pow a1 4) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (- (pow a1 4) (pow a2 4))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (+ a1 a2) (- a1 a2))))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (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 (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)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0))))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (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)) (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 (cos th)) (cbrt (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)))) (* (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)) (* (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)) (sqrt (cos th))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (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)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (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 (cos th))) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (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)) (sqrt (cos th)))) (fabs (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (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 (cos th))) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ (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 (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th))) (sqrt (- (pow a1 4) (pow a2 4))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))
  (* (sqrt (- (pow a1 4) (- (* (* a1 a1) (* a2 a2)) (pow a2 4)))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (/ (sqrt 2.0) (cos th)) (sqrt (* (+ a2 a1) (- a2 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  a2
  a1
  (- a1)
  a1
  a2
  (- a2)
  0
  0
  0
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* (* a2 a2) (cos th)) (sqrt 2.0)) (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (+ (/ (* (* a2 a2) (cos th)) (sqrt 2.0)) (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
10.726 * * * [progress]: adding candidates to table
15.296 * * [progress]: iteration 4 / 4
15.296 * * * [progress]: picking best candidate
15.336 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))>
15.337 * * * [progress]: localizing error
15.378 * * * [progress]: generating rewritten candidates
15.378 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
15.389 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
15.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
15.422 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
16.497 * * * [progress]: generating series expansions
16.497 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
16.497 * [backup-simplify]: Simplify (sqrt (+ (pow a1 2) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
16.497 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
16.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
16.497 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.497 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.497 * [taylor]: Taking taylor expansion of a2 in a2
16.497 * [backup-simplify]: Simplify 0 into 0
16.497 * [backup-simplify]: Simplify 1 into 1
16.497 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.497 * [taylor]: Taking taylor expansion of a1 in a2
16.497 * [backup-simplify]: Simplify a1 into a1
16.498 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.498 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.498 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
16.498 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.498 * [backup-simplify]: Simplify (+ 0 0) into 0
16.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
16.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
16.498 * [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 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
16.499 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.499 * [backup-simplify]: Simplify (+ 0 0) into 0
16.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
16.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in 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
16.500 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.500 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.500 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
16.500 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.500 * [backup-simplify]: Simplify (+ 0 0) into 0
16.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
16.500 * [taylor]: Taking taylor expansion of a2 in a2
16.500 * [backup-simplify]: Simplify 0 into 0
16.500 * [backup-simplify]: Simplify 1 into 1
16.500 * [backup-simplify]: Simplify 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 1 into 1
16.501 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
16.501 * [backup-simplify]: Simplify (* 1 1) into 1
16.501 * [backup-simplify]: Simplify (+ 0 1) into 1
16.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
16.502 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
16.502 * [taylor]: Taking taylor expansion of 1/2 in a2
16.502 * [backup-simplify]: Simplify 1/2 into 1/2
16.502 * [taylor]: Taking taylor expansion of a2 in a2
16.502 * [backup-simplify]: Simplify 0 into 0
16.502 * [backup-simplify]: Simplify 1 into 1
16.502 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.503 * [backup-simplify]: Simplify 0 into 0
16.503 * [backup-simplify]: Simplify 0 into 0
16.503 * [backup-simplify]: Simplify 0 into 0
16.503 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
16.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.504 * [backup-simplify]: Simplify (+ 0 0) into 0
16.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
16.504 * [taylor]: Taking taylor expansion of 0 in a2
16.504 * [backup-simplify]: Simplify 0 into 0
16.504 * [backup-simplify]: Simplify 0 into 0
16.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.505 * [backup-simplify]: Simplify 0 into 0
16.505 * [backup-simplify]: Simplify 0 into 0
16.505 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
16.505 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 a1) 2) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
16.505 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
16.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.505 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.505 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.505 * [taylor]: Taking taylor expansion of a2 in a2
16.505 * [backup-simplify]: Simplify 0 into 0
16.505 * [backup-simplify]: Simplify 1 into 1
16.505 * [backup-simplify]: Simplify (* 1 1) into 1
16.506 * [backup-simplify]: Simplify (/ 1 1) into 1
16.506 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.506 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.506 * [taylor]: Taking taylor expansion of a1 in a2
16.506 * [backup-simplify]: Simplify a1 into a1
16.506 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.506 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.506 * [backup-simplify]: Simplify (+ 1 0) into 1
16.506 * [backup-simplify]: Simplify (sqrt 1) into 1
16.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.508 * [backup-simplify]: Simplify (+ 0 0) into 0
16.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.508 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.508 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.508 * [taylor]: Taking taylor expansion of a2 in a1
16.508 * [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
16.509 * [backup-simplify]: Simplify (* 1 1) into 1
16.509 * [backup-simplify]: Simplify (/ 1 1) into 1
16.509 * [backup-simplify]: Simplify (+ 0 1) into 1
16.509 * [backup-simplify]: Simplify (sqrt 1) into 1
16.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.511 * [backup-simplify]: Simplify (+ 0 0) into 0
16.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.511 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.511 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.511 * [taylor]: Taking taylor expansion of a2 in a1
16.511 * [backup-simplify]: Simplify a2 into a2
16.511 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.511 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.511 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.511 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.511 * [taylor]: Taking taylor expansion of a1 in a1
16.511 * [backup-simplify]: Simplify 0 into 0
16.511 * [backup-simplify]: Simplify 1 into 1
16.512 * [backup-simplify]: Simplify (* 1 1) into 1
16.512 * [backup-simplify]: Simplify (/ 1 1) into 1
16.512 * [backup-simplify]: Simplify (+ 0 1) into 1
16.512 * [backup-simplify]: Simplify (sqrt 1) into 1
16.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.525 * [backup-simplify]: Simplify (+ 0 0) into 0
16.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.525 * [taylor]: Taking taylor expansion of 1 in a2
16.526 * [backup-simplify]: Simplify 1 into 1
16.526 * [taylor]: Taking taylor expansion of 0 in a2
16.526 * [backup-simplify]: Simplify 0 into 0
16.526 * [backup-simplify]: Simplify 1 into 1
16.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.528 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
16.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
16.530 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
16.530 * [taylor]: Taking taylor expansion of 1/2 in a2
16.530 * [backup-simplify]: Simplify 1/2 into 1/2
16.530 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.530 * [taylor]: Taking taylor expansion of a2 in a2
16.530 * [backup-simplify]: Simplify 0 into 0
16.530 * [backup-simplify]: Simplify 1 into 1
16.530 * [backup-simplify]: Simplify (* 1 1) into 1
16.530 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.532 * [backup-simplify]: Simplify 0 into 0
16.532 * [backup-simplify]: Simplify 0 into 0
16.532 * [backup-simplify]: Simplify 0 into 0
16.532 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
16.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.535 * [backup-simplify]: Simplify (+ 0 0) into 0
16.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
16.536 * [taylor]: Taking taylor expansion of 0 in a2
16.536 * [backup-simplify]: Simplify 0 into 0
16.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.538 * [backup-simplify]: Simplify 0 into 0
16.538 * [backup-simplify]: Simplify 0 into 0
16.538 * [backup-simplify]: Simplify 0 into 0
16.538 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
16.538 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- a1)) 2) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
16.538 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
16.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.539 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.539 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.539 * [taylor]: Taking taylor expansion of a2 in a2
16.539 * [backup-simplify]: Simplify 0 into 0
16.539 * [backup-simplify]: Simplify 1 into 1
16.539 * [backup-simplify]: Simplify (* 1 1) into 1
16.539 * [backup-simplify]: Simplify (/ 1 1) into 1
16.540 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.540 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.540 * [taylor]: Taking taylor expansion of a1 in a2
16.540 * [backup-simplify]: Simplify a1 into a1
16.540 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.540 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.540 * [backup-simplify]: Simplify (+ 1 0) into 1
16.541 * [backup-simplify]: Simplify (sqrt 1) into 1
16.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.542 * [backup-simplify]: Simplify (+ 0 0) into 0
16.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.543 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.543 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.543 * [taylor]: Taking taylor expansion of a2 in a1
16.543 * [backup-simplify]: Simplify a2 into a2
16.543 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.544 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.544 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.544 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.544 * [taylor]: Taking taylor expansion of a1 in a1
16.544 * [backup-simplify]: Simplify 0 into 0
16.544 * [backup-simplify]: Simplify 1 into 1
16.544 * [backup-simplify]: Simplify (* 1 1) into 1
16.544 * [backup-simplify]: Simplify (/ 1 1) into 1
16.545 * [backup-simplify]: Simplify (+ 0 1) into 1
16.545 * [backup-simplify]: Simplify (sqrt 1) into 1
16.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.547 * [backup-simplify]: Simplify (+ 0 0) into 0
16.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.548 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.548 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.548 * [taylor]: Taking taylor expansion of a2 in a1
16.548 * [backup-simplify]: Simplify a2 into a2
16.548 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.548 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.548 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.548 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.548 * [taylor]: Taking taylor expansion of a1 in a1
16.548 * [backup-simplify]: Simplify 0 into 0
16.548 * [backup-simplify]: Simplify 1 into 1
16.549 * [backup-simplify]: Simplify (* 1 1) into 1
16.549 * [backup-simplify]: Simplify (/ 1 1) into 1
16.550 * [backup-simplify]: Simplify (+ 0 1) into 1
16.550 * [backup-simplify]: Simplify (sqrt 1) into 1
16.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.552 * [backup-simplify]: Simplify (+ 0 0) into 0
16.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.553 * [taylor]: Taking taylor expansion of 1 in a2
16.553 * [backup-simplify]: Simplify 1 into 1
16.553 * [taylor]: Taking taylor expansion of 0 in a2
16.553 * [backup-simplify]: Simplify 0 into 0
16.553 * [backup-simplify]: Simplify 1 into 1
16.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.554 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
16.555 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
16.555 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
16.555 * [taylor]: Taking taylor expansion of 1/2 in a2
16.555 * [backup-simplify]: Simplify 1/2 into 1/2
16.555 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.555 * [taylor]: Taking taylor expansion of a2 in a2
16.555 * [backup-simplify]: Simplify 0 into 0
16.555 * [backup-simplify]: Simplify 1 into 1
16.555 * [backup-simplify]: Simplify (* 1 1) into 1
16.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.557 * [backup-simplify]: Simplify 0 into 0
16.557 * [backup-simplify]: Simplify 0 into 0
16.557 * [backup-simplify]: Simplify 0 into 0
16.557 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
16.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.558 * [backup-simplify]: Simplify (+ 0 0) into 0
16.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
16.559 * [taylor]: Taking taylor expansion of 0 in a2
16.559 * [backup-simplify]: Simplify 0 into 0
16.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.560 * [backup-simplify]: Simplify 0 into 0
16.560 * [backup-simplify]: Simplify 0 into 0
16.560 * [backup-simplify]: Simplify 0 into 0
16.560 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
16.560 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
16.560 * [backup-simplify]: Simplify (sqrt (+ (* a2 a2) (* a1 a1))) into (sqrt (+ (pow a2 2) (pow a1 2)))
16.560 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a2 a1) around 0
16.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
16.560 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.560 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.560 * [taylor]: Taking taylor expansion of a2 in a1
16.560 * [backup-simplify]: Simplify a2 into a2
16.560 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.560 * [taylor]: Taking taylor expansion of a1 in a1
16.560 * [backup-simplify]: Simplify 0 into 0
16.560 * [backup-simplify]: Simplify 1 into 1
16.561 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.561 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.561 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
16.561 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.561 * [backup-simplify]: Simplify (+ 0 0) into 0
16.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
16.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
16.561 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.561 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.561 * [taylor]: Taking taylor expansion of a2 in a2
16.561 * [backup-simplify]: Simplify 0 into 0
16.561 * [backup-simplify]: Simplify 1 into 1
16.561 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.561 * [taylor]: Taking taylor expansion of a1 in a2
16.561 * [backup-simplify]: Simplify a1 into a1
16.561 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.561 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.562 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
16.562 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.562 * [backup-simplify]: Simplify (+ 0 0) into 0
16.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
16.562 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
16.562 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.562 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.562 * [taylor]: Taking taylor expansion of a2 in a2
16.562 * [backup-simplify]: Simplify 0 into 0
16.562 * [backup-simplify]: Simplify 1 into 1
16.562 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.562 * [taylor]: Taking taylor expansion of a1 in a2
16.562 * [backup-simplify]: Simplify a1 into a1
16.562 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.562 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.562 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
16.562 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.563 * [backup-simplify]: Simplify (+ 0 0) into 0
16.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
16.563 * [taylor]: Taking taylor expansion of a1 in a1
16.563 * [backup-simplify]: Simplify 0 into 0
16.563 * [backup-simplify]: Simplify 1 into 1
16.563 * [backup-simplify]: Simplify 0 into 0
16.563 * [taylor]: Taking taylor expansion of 0 in a1
16.563 * [backup-simplify]: Simplify 0 into 0
16.563 * [backup-simplify]: Simplify 0 into 0
16.563 * [backup-simplify]: Simplify 1 into 1
16.563 * [backup-simplify]: Simplify (* 1 1) into 1
16.563 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
16.564 * [backup-simplify]: Simplify (+ 1 0) into 1
16.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a1)) into (/ 1/2 a1)
16.564 * [taylor]: Taking taylor expansion of (/ 1/2 a1) in a1
16.564 * [taylor]: Taking taylor expansion of 1/2 in a1
16.564 * [backup-simplify]: Simplify 1/2 into 1/2
16.564 * [taylor]: Taking taylor expansion of a1 in a1
16.564 * [backup-simplify]: Simplify 0 into 0
16.564 * [backup-simplify]: Simplify 1 into 1
16.565 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.565 * [backup-simplify]: Simplify 0 into 0
16.565 * [backup-simplify]: Simplify 0 into 0
16.565 * [backup-simplify]: Simplify 0 into 0
16.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.566 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
16.566 * [backup-simplify]: Simplify (+ 0 0) into 0
16.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a1))))) (* 2 a1)) into 0
16.566 * [taylor]: Taking taylor expansion of 0 in a1
16.566 * [backup-simplify]: Simplify 0 into 0
16.566 * [backup-simplify]: Simplify 0 into 0
16.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.567 * [backup-simplify]: Simplify 0 into 0
16.567 * [backup-simplify]: Simplify 0 into 0
16.567 * [backup-simplify]: Simplify (* 1 (* a1 1)) into a1
16.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
16.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a2 a1) around 0
16.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.567 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.567 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.567 * [taylor]: Taking taylor expansion of a2 in a1
16.567 * [backup-simplify]: Simplify a2 into a2
16.568 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.568 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.568 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.568 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.568 * [taylor]: Taking taylor expansion of a1 in a1
16.568 * [backup-simplify]: Simplify 0 into 0
16.568 * [backup-simplify]: Simplify 1 into 1
16.568 * [backup-simplify]: Simplify (* 1 1) into 1
16.568 * [backup-simplify]: Simplify (/ 1 1) into 1
16.568 * [backup-simplify]: Simplify (+ 0 1) into 1
16.569 * [backup-simplify]: Simplify (sqrt 1) into 1
16.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.570 * [backup-simplify]: Simplify (+ 0 0) into 0
16.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.570 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.570 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.570 * [taylor]: Taking taylor expansion of a2 in a2
16.570 * [backup-simplify]: Simplify 0 into 0
16.570 * [backup-simplify]: Simplify 1 into 1
16.571 * [backup-simplify]: Simplify (* 1 1) into 1
16.571 * [backup-simplify]: Simplify (/ 1 1) into 1
16.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.571 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.571 * [taylor]: Taking taylor expansion of a1 in a2
16.571 * [backup-simplify]: Simplify a1 into a1
16.571 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.571 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.571 * [backup-simplify]: Simplify (+ 1 0) into 1
16.572 * [backup-simplify]: Simplify (sqrt 1) into 1
16.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.573 * [backup-simplify]: Simplify (+ 0 0) into 0
16.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.573 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.573 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.573 * [taylor]: Taking taylor expansion of a2 in a2
16.573 * [backup-simplify]: Simplify 0 into 0
16.573 * [backup-simplify]: Simplify 1 into 1
16.573 * [backup-simplify]: Simplify (* 1 1) into 1
16.574 * [backup-simplify]: Simplify (/ 1 1) into 1
16.574 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.574 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.574 * [taylor]: Taking taylor expansion of a1 in a2
16.574 * [backup-simplify]: Simplify a1 into a1
16.574 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.574 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.574 * [backup-simplify]: Simplify (+ 1 0) into 1
16.574 * [backup-simplify]: Simplify (sqrt 1) into 1
16.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.575 * [backup-simplify]: Simplify (+ 0 0) into 0
16.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.576 * [taylor]: Taking taylor expansion of 1 in a1
16.576 * [backup-simplify]: Simplify 1 into 1
16.576 * [taylor]: Taking taylor expansion of 0 in a1
16.576 * [backup-simplify]: Simplify 0 into 0
16.576 * [backup-simplify]: Simplify 1 into 1
16.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
16.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a1 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a1 2))
16.578 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a1 2)) in a1
16.578 * [taylor]: Taking taylor expansion of 1/2 in a1
16.578 * [backup-simplify]: Simplify 1/2 into 1/2
16.578 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.578 * [taylor]: Taking taylor expansion of a1 in a1
16.578 * [backup-simplify]: Simplify 0 into 0
16.578 * [backup-simplify]: Simplify 1 into 1
16.578 * [backup-simplify]: Simplify (* 1 1) into 1
16.579 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.580 * [backup-simplify]: Simplify 0 into 0
16.580 * [backup-simplify]: Simplify 0 into 0
16.580 * [backup-simplify]: Simplify 0 into 0
16.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.581 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
16.581 * [backup-simplify]: Simplify (+ 0 0) into 0
16.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a1 2)))))) (* 2 1)) into 0
16.582 * [taylor]: Taking taylor expansion of 0 in a1
16.582 * [backup-simplify]: Simplify 0 into 0
16.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.583 * [backup-simplify]: Simplify 0 into 0
16.583 * [backup-simplify]: Simplify 0 into 0
16.583 * [backup-simplify]: Simplify 0 into 0
16.583 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a2)))) into a2
16.583 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
16.583 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a2 a1) around 0
16.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.583 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.583 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.583 * [taylor]: Taking taylor expansion of a2 in a1
16.583 * [backup-simplify]: Simplify a2 into a2
16.583 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.584 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.584 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.584 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.584 * [taylor]: Taking taylor expansion of a1 in a1
16.584 * [backup-simplify]: Simplify 0 into 0
16.584 * [backup-simplify]: Simplify 1 into 1
16.584 * [backup-simplify]: Simplify (* 1 1) into 1
16.584 * [backup-simplify]: Simplify (/ 1 1) into 1
16.584 * [backup-simplify]: Simplify (+ 0 1) into 1
16.585 * [backup-simplify]: Simplify (sqrt 1) into 1
16.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.586 * [backup-simplify]: Simplify (+ 0 0) into 0
16.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.586 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.586 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.586 * [taylor]: Taking taylor expansion of a2 in a2
16.586 * [backup-simplify]: Simplify 0 into 0
16.586 * [backup-simplify]: Simplify 1 into 1
16.586 * [backup-simplify]: Simplify (* 1 1) into 1
16.587 * [backup-simplify]: Simplify (/ 1 1) into 1
16.587 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.587 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.587 * [taylor]: Taking taylor expansion of a1 in a2
16.587 * [backup-simplify]: Simplify a1 into a1
16.587 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.587 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.587 * [backup-simplify]: Simplify (+ 1 0) into 1
16.587 * [backup-simplify]: Simplify (sqrt 1) into 1
16.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.589 * [backup-simplify]: Simplify (+ 0 0) into 0
16.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.589 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.589 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.589 * [taylor]: Taking taylor expansion of a2 in a2
16.589 * [backup-simplify]: Simplify 0 into 0
16.589 * [backup-simplify]: Simplify 1 into 1
16.589 * [backup-simplify]: Simplify (* 1 1) into 1
16.590 * [backup-simplify]: Simplify (/ 1 1) into 1
16.590 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.590 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.590 * [taylor]: Taking taylor expansion of a1 in a2
16.590 * [backup-simplify]: Simplify a1 into a1
16.590 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.590 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.590 * [backup-simplify]: Simplify (+ 1 0) into 1
16.590 * [backup-simplify]: Simplify (sqrt 1) into 1
16.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.591 * [backup-simplify]: Simplify (+ 0 0) into 0
16.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.592 * [taylor]: Taking taylor expansion of 1 in a1
16.592 * [backup-simplify]: Simplify 1 into 1
16.592 * [taylor]: Taking taylor expansion of 0 in a1
16.592 * [backup-simplify]: Simplify 0 into 0
16.592 * [backup-simplify]: Simplify 1 into 1
16.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.593 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
16.594 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a1 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a1 2))
16.594 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a1 2)) in a1
16.594 * [taylor]: Taking taylor expansion of 1/2 in a1
16.594 * [backup-simplify]: Simplify 1/2 into 1/2
16.594 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.594 * [taylor]: Taking taylor expansion of a1 in a1
16.594 * [backup-simplify]: Simplify 0 into 0
16.594 * [backup-simplify]: Simplify 1 into 1
16.594 * [backup-simplify]: Simplify (* 1 1) into 1
16.595 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
16.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
16.596 * [backup-simplify]: Simplify 0 into 0
16.596 * [backup-simplify]: Simplify 0 into 0
16.596 * [backup-simplify]: Simplify 0 into 0
16.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.597 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
16.597 * [backup-simplify]: Simplify (+ 0 0) into 0
16.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a1 2)))))) (* 2 1)) into 0
16.598 * [taylor]: Taking taylor expansion of 0 in a1
16.598 * [backup-simplify]: Simplify 0 into 0
16.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.599 * [backup-simplify]: Simplify 0 into 0
16.599 * [backup-simplify]: Simplify 0 into 0
16.599 * [backup-simplify]: Simplify 0 into 0
16.599 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a2))))) into (* -1 a2)
16.599 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
16.600 * [backup-simplify]: Simplify (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) into (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2))))
16.600 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in (a2 a1) around 0
16.600 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1
16.600 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
16.600 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.600 * [taylor]: Taking taylor expansion of 2.0 in a1
16.600 * [backup-simplify]: Simplify 2.0 into 2.0
16.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.601 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
16.601 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.601 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.601 * [taylor]: Taking taylor expansion of a2 in a1
16.601 * [backup-simplify]: Simplify a2 into a2
16.601 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.601 * [taylor]: Taking taylor expansion of a1 in a1
16.601 * [backup-simplify]: Simplify 0 into 0
16.601 * [backup-simplify]: Simplify 1 into 1
16.601 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.602 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.602 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
16.602 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
16.602 * [backup-simplify]: Simplify (+ 0 0) into 0
16.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
16.602 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a2
16.602 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
16.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.602 * [taylor]: Taking taylor expansion of 2.0 in a2
16.603 * [backup-simplify]: Simplify 2.0 into 2.0
16.603 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.604 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
16.605 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.605 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.605 * [taylor]: Taking taylor expansion of a2 in a2
16.605 * [backup-simplify]: Simplify 0 into 0
16.605 * [backup-simplify]: Simplify 1 into 1
16.605 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.605 * [taylor]: Taking taylor expansion of a1 in a2
16.605 * [backup-simplify]: Simplify a1 into a1
16.605 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.605 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.605 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
16.605 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.606 * [backup-simplify]: Simplify (+ 0 0) into 0
16.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
16.606 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a2
16.606 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
16.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.606 * [taylor]: Taking taylor expansion of 2.0 in a2
16.606 * [backup-simplify]: Simplify 2.0 into 2.0
16.606 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.608 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
16.608 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.608 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.608 * [taylor]: Taking taylor expansion of a2 in a2
16.608 * [backup-simplify]: Simplify 0 into 0
16.608 * [backup-simplify]: Simplify 1 into 1
16.608 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.608 * [taylor]: Taking taylor expansion of a1 in a2
16.608 * [backup-simplify]: Simplify a1 into a1
16.608 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.609 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.609 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
16.609 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.609 * [backup-simplify]: Simplify (+ 0 0) into 0
16.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
16.610 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) a1) into (/ a1 (sqrt 2.0))
16.610 * [taylor]: Taking taylor expansion of (/ a1 (sqrt 2.0)) in a1
16.610 * [taylor]: Taking taylor expansion of a1 in a1
16.610 * [backup-simplify]: Simplify 0 into 0
16.611 * [backup-simplify]: Simplify 1 into 1
16.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.611 * [taylor]: Taking taylor expansion of 2.0 in a1
16.611 * [backup-simplify]: Simplify 2.0 into 2.0
16.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.613 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.615 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (* 0 a1)) into 0
16.615 * [taylor]: Taking taylor expansion of 0 in a1
16.615 * [backup-simplify]: Simplify 0 into 0
16.615 * [backup-simplify]: Simplify 0 into 0
16.616 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.616 * [backup-simplify]: Simplify (* 1 1) into 1
16.617 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
16.617 * [backup-simplify]: Simplify (+ 1 0) into 1
16.618 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a1)) into (/ 1/2 a1)
16.619 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.622 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ 1/2 a1)) (+ (* 0 0) (* 0 a1))) into (* 1/2 (/ 1 (* (sqrt 2.0) a1)))
16.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) a1))) in a1
16.622 * [taylor]: Taking taylor expansion of 1/2 in a1
16.622 * [backup-simplify]: Simplify 1/2 into 1/2
16.622 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) a1)) in a1
16.622 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a1) in a1
16.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.622 * [taylor]: Taking taylor expansion of 2.0 in a1
16.622 * [backup-simplify]: Simplify 2.0 into 2.0
16.623 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.623 * [taylor]: Taking taylor expansion of a1 in a1
16.624 * [backup-simplify]: Simplify 0 into 0
16.624 * [backup-simplify]: Simplify 1 into 1
16.624 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
16.626 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
16.627 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.630 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
16.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
16.632 * [backup-simplify]: Simplify 0 into 0
16.632 * [backup-simplify]: Simplify 0 into 0
16.633 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.633 * [backup-simplify]: Simplify 0 into 0
16.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.635 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
16.635 * [backup-simplify]: Simplify (+ 0 0) into 0
16.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a1))))) (* 2 a1)) into 0
16.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.639 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (+ (* 0 (/ 1/2 a1)) (+ (* 0 0) (* 0 a1)))) into 0
16.639 * [taylor]: Taking taylor expansion of 0 in a1
16.639 * [backup-simplify]: Simplify 0 into 0
16.639 * [backup-simplify]: Simplify 0 into 0
16.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.644 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
16.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0
16.646 * [backup-simplify]: Simplify 0 into 0
16.647 * [backup-simplify]: Simplify 0 into 0
16.647 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) (* a1 1)) into (/ a1 (sqrt 2.0))
16.648 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) (sqrt 2.0)) into (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
16.648 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a2 a1) around 0
16.648 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
16.648 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
16.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.649 * [taylor]: Taking taylor expansion of 2.0 in a1
16.649 * [backup-simplify]: Simplify 2.0 into 2.0
16.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.650 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.651 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.651 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.651 * [taylor]: Taking taylor expansion of a2 in a1
16.651 * [backup-simplify]: Simplify a2 into a2
16.651 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.651 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.651 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.651 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.651 * [taylor]: Taking taylor expansion of a1 in a1
16.651 * [backup-simplify]: Simplify 0 into 0
16.651 * [backup-simplify]: Simplify 1 into 1
16.651 * [backup-simplify]: Simplify (* 1 1) into 1
16.652 * [backup-simplify]: Simplify (/ 1 1) into 1
16.652 * [backup-simplify]: Simplify (+ 0 1) into 1
16.653 * [backup-simplify]: Simplify (sqrt 1) into 1
16.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.654 * [backup-simplify]: Simplify (+ 0 0) into 0
16.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.655 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
16.655 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
16.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.655 * [taylor]: Taking taylor expansion of 2.0 in a2
16.655 * [backup-simplify]: Simplify 2.0 into 2.0
16.656 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.657 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.657 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.657 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.657 * [taylor]: Taking taylor expansion of a2 in a2
16.657 * [backup-simplify]: Simplify 0 into 0
16.657 * [backup-simplify]: Simplify 1 into 1
16.658 * [backup-simplify]: Simplify (* 1 1) into 1
16.658 * [backup-simplify]: Simplify (/ 1 1) into 1
16.658 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.658 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.658 * [taylor]: Taking taylor expansion of a1 in a2
16.658 * [backup-simplify]: Simplify a1 into a1
16.658 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.659 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.659 * [backup-simplify]: Simplify (+ 1 0) into 1
16.659 * [backup-simplify]: Simplify (sqrt 1) into 1
16.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.661 * [backup-simplify]: Simplify (+ 0 0) into 0
16.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.662 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
16.662 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
16.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.662 * [taylor]: Taking taylor expansion of 2.0 in a2
16.662 * [backup-simplify]: Simplify 2.0 into 2.0
16.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.664 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.664 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.664 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.664 * [taylor]: Taking taylor expansion of a2 in a2
16.664 * [backup-simplify]: Simplify 0 into 0
16.664 * [backup-simplify]: Simplify 1 into 1
16.665 * [backup-simplify]: Simplify (* 1 1) into 1
16.665 * [backup-simplify]: Simplify (/ 1 1) into 1
16.665 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.665 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.665 * [taylor]: Taking taylor expansion of a1 in a2
16.665 * [backup-simplify]: Simplify a1 into a1
16.665 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.665 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.666 * [backup-simplify]: Simplify (+ 1 0) into 1
16.666 * [backup-simplify]: Simplify (sqrt 1) into 1
16.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.668 * [backup-simplify]: Simplify (+ 0 0) into 0
16.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.670 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) 1) into (/ 1 (sqrt 2.0))
16.670 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
16.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.670 * [taylor]: Taking taylor expansion of 2.0 in a1
16.670 * [backup-simplify]: Simplify 2.0 into 2.0
16.671 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.672 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.674 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (* 0 1)) into 0
16.674 * [taylor]: Taking taylor expansion of 0 in a1
16.674 * [backup-simplify]: Simplify 0 into 0
16.675 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.677 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
16.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a1 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a1 2))
16.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.683 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ 1/2 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (* (sqrt 2.0) (pow a1 2))))
16.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) (pow a1 2)))) in a1
16.683 * [taylor]: Taking taylor expansion of 1/2 in a1
16.683 * [backup-simplify]: Simplify 1/2 into 1/2
16.683 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (pow a1 2))) in a1
16.683 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
16.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.683 * [taylor]: Taking taylor expansion of 2.0 in a1
16.684 * [backup-simplify]: Simplify 2.0 into 2.0
16.684 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.685 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.685 * [taylor]: Taking taylor expansion of a1 in a1
16.685 * [backup-simplify]: Simplify 0 into 0
16.685 * [backup-simplify]: Simplify 1 into 1
16.685 * [backup-simplify]: Simplify (* 1 1) into 1
16.686 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
16.687 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.689 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
16.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
16.691 * [backup-simplify]: Simplify 0 into 0
16.691 * [backup-simplify]: Simplify 0 into 0
16.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.692 * [backup-simplify]: Simplify 0 into 0
16.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.694 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
16.695 * [backup-simplify]: Simplify (+ 0 0) into 0
16.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a1 2)))))) (* 2 1)) into 0
16.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.700 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (+ (* 0 (/ 1/2 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
16.700 * [taylor]: Taking taylor expansion of 0 in a1
16.700 * [backup-simplify]: Simplify 0 into 0
16.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.703 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
16.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.708 * [backup-simplify]: Simplify 0 into 0
16.709 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) (* 1 (/ 1 (/ 1 a2)))) into (/ a2 (sqrt 2.0))
16.710 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) (sqrt 2.0)) into (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
16.710 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a2 a1) around 0
16.710 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
16.710 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
16.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.710 * [taylor]: Taking taylor expansion of 2.0 in a1
16.710 * [backup-simplify]: Simplify 2.0 into 2.0
16.711 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.713 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.713 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.713 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.713 * [taylor]: Taking taylor expansion of a2 in a1
16.713 * [backup-simplify]: Simplify a2 into a2
16.713 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.713 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.713 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.713 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.713 * [taylor]: Taking taylor expansion of a1 in a1
16.713 * [backup-simplify]: Simplify 0 into 0
16.713 * [backup-simplify]: Simplify 1 into 1
16.714 * [backup-simplify]: Simplify (* 1 1) into 1
16.714 * [backup-simplify]: Simplify (/ 1 1) into 1
16.714 * [backup-simplify]: Simplify (+ 0 1) into 1
16.715 * [backup-simplify]: Simplify (sqrt 1) into 1
16.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.717 * [backup-simplify]: Simplify (+ 0 0) into 0
16.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.718 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
16.718 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
16.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.718 * [taylor]: Taking taylor expansion of 2.0 in a2
16.718 * [backup-simplify]: Simplify 2.0 into 2.0
16.718 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.720 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.720 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.720 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.720 * [taylor]: Taking taylor expansion of a2 in a2
16.720 * [backup-simplify]: Simplify 0 into 0
16.720 * [backup-simplify]: Simplify 1 into 1
16.720 * [backup-simplify]: Simplify (* 1 1) into 1
16.721 * [backup-simplify]: Simplify (/ 1 1) into 1
16.721 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.721 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.721 * [taylor]: Taking taylor expansion of a1 in a2
16.721 * [backup-simplify]: Simplify a1 into a1
16.721 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.721 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.722 * [backup-simplify]: Simplify (+ 1 0) into 1
16.722 * [backup-simplify]: Simplify (sqrt 1) into 1
16.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.724 * [backup-simplify]: Simplify (+ 0 0) into 0
16.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.725 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
16.725 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
16.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.725 * [taylor]: Taking taylor expansion of 2.0 in a2
16.725 * [backup-simplify]: Simplify 2.0 into 2.0
16.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.727 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.727 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.727 * [taylor]: Taking taylor expansion of a2 in a2
16.727 * [backup-simplify]: Simplify 0 into 0
16.727 * [backup-simplify]: Simplify 1 into 1
16.727 * [backup-simplify]: Simplify (* 1 1) into 1
16.728 * [backup-simplify]: Simplify (/ 1 1) into 1
16.728 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.728 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.728 * [taylor]: Taking taylor expansion of a1 in a2
16.728 * [backup-simplify]: Simplify a1 into a1
16.728 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.728 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.729 * [backup-simplify]: Simplify (+ 1 0) into 1
16.729 * [backup-simplify]: Simplify (sqrt 1) into 1
16.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.731 * [backup-simplify]: Simplify (+ 0 0) into 0
16.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
16.733 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) 1) into (/ 1 (sqrt 2.0))
16.733 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
16.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.733 * [taylor]: Taking taylor expansion of 2.0 in a1
16.733 * [backup-simplify]: Simplify 2.0 into 2.0
16.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.735 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.738 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (* 0 1)) into 0
16.738 * [taylor]: Taking taylor expansion of 0 in a1
16.738 * [backup-simplify]: Simplify 0 into 0
16.739 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.741 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
16.742 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a1 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a1 2))
16.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.747 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ 1/2 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (* (sqrt 2.0) (pow a1 2))))
16.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) (pow a1 2)))) in a1
16.747 * [taylor]: Taking taylor expansion of 1/2 in a1
16.747 * [backup-simplify]: Simplify 1/2 into 1/2
16.747 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (pow a1 2))) in a1
16.747 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
16.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.747 * [taylor]: Taking taylor expansion of 2.0 in a1
16.747 * [backup-simplify]: Simplify 2.0 into 2.0
16.747 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.748 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.748 * [taylor]: Taking taylor expansion of a1 in a1
16.748 * [backup-simplify]: Simplify 0 into 0
16.748 * [backup-simplify]: Simplify 1 into 1
16.749 * [backup-simplify]: Simplify (* 1 1) into 1
16.750 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
16.751 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.752 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
16.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
16.755 * [backup-simplify]: Simplify 0 into 0
16.755 * [backup-simplify]: Simplify 0 into 0
16.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.756 * [backup-simplify]: Simplify 0 into 0
16.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.758 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
16.759 * [backup-simplify]: Simplify (+ 0 0) into 0
16.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a1 2)))))) (* 2 1)) into 0
16.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.764 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (+ (* 0 (/ 1/2 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
16.764 * [taylor]: Taking taylor expansion of 0 in a1
16.764 * [backup-simplify]: Simplify 0 into 0
16.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.767 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
16.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0
16.770 * [backup-simplify]: Simplify 0 into 0
16.770 * [backup-simplify]: Simplify 0 into 0
16.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.773 * [backup-simplify]: Simplify 0 into 0
16.774 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) (* 1 (/ 1 (/ 1 (- a2))))) into (* -1 (/ a2 (sqrt 2.0)))
16.774 * * * * [progress]: [ 4 / 4 ] generating series at (2)
16.775 * [backup-simplify]: Simplify (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
16.775 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a2 a1 th) around 0
16.775 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
16.775 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
16.775 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
16.775 * [taylor]: Taking taylor expansion of (pow a2 2) in th
16.775 * [taylor]: Taking taylor expansion of a2 in th
16.775 * [backup-simplify]: Simplify a2 into a2
16.775 * [taylor]: Taking taylor expansion of (pow a1 2) in th
16.775 * [taylor]: Taking taylor expansion of a1 in th
16.775 * [backup-simplify]: Simplify a1 into a1
16.775 * [taylor]: Taking taylor expansion of (cos th) in th
16.775 * [taylor]: Taking taylor expansion of th in th
16.775 * [backup-simplify]: Simplify 0 into 0
16.775 * [backup-simplify]: Simplify 1 into 1
16.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.776 * [taylor]: Taking taylor expansion of 2.0 in th
16.776 * [backup-simplify]: Simplify 2.0 into 2.0
16.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.777 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.777 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.777 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
16.777 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
16.778 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
16.778 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
16.778 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
16.778 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
16.778 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.778 * [taylor]: Taking taylor expansion of a2 in a1
16.778 * [backup-simplify]: Simplify a2 into a2
16.778 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.778 * [taylor]: Taking taylor expansion of a1 in a1
16.778 * [backup-simplify]: Simplify 0 into 0
16.778 * [backup-simplify]: Simplify 1 into 1
16.778 * [taylor]: Taking taylor expansion of (cos th) in a1
16.778 * [taylor]: Taking taylor expansion of th in a1
16.778 * [backup-simplify]: Simplify th into th
16.778 * [backup-simplify]: Simplify (cos th) into (cos th)
16.779 * [backup-simplify]: Simplify (sin th) into (sin th)
16.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.779 * [taylor]: Taking taylor expansion of 2.0 in a1
16.779 * [backup-simplify]: Simplify 2.0 into 2.0
16.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.780 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.780 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
16.780 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.780 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.781 * [backup-simplify]: Simplify (- 0) into 0
16.781 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.781 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
16.781 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
16.781 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
16.781 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
16.781 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.781 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.781 * [taylor]: Taking taylor expansion of a2 in a2
16.781 * [backup-simplify]: Simplify 0 into 0
16.781 * [backup-simplify]: Simplify 1 into 1
16.781 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.781 * [taylor]: Taking taylor expansion of a1 in a2
16.781 * [backup-simplify]: Simplify a1 into a1
16.781 * [taylor]: Taking taylor expansion of (cos th) in a2
16.781 * [taylor]: Taking taylor expansion of th in a2
16.781 * [backup-simplify]: Simplify th into th
16.781 * [backup-simplify]: Simplify (cos th) into (cos th)
16.781 * [backup-simplify]: Simplify (sin th) into (sin th)
16.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.781 * [taylor]: Taking taylor expansion of 2.0 in a2
16.781 * [backup-simplify]: Simplify 2.0 into 2.0
16.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.782 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.782 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.782 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.782 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.783 * [backup-simplify]: Simplify (- 0) into 0
16.783 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.783 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
16.783 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
16.783 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
16.783 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
16.783 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
16.783 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.783 * [taylor]: Taking taylor expansion of a2 in a2
16.783 * [backup-simplify]: Simplify 0 into 0
16.783 * [backup-simplify]: Simplify 1 into 1
16.783 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.783 * [taylor]: Taking taylor expansion of a1 in a2
16.783 * [backup-simplify]: Simplify a1 into a1
16.783 * [taylor]: Taking taylor expansion of (cos th) in a2
16.783 * [taylor]: Taking taylor expansion of th in a2
16.783 * [backup-simplify]: Simplify th into th
16.783 * [backup-simplify]: Simplify (cos th) into (cos th)
16.783 * [backup-simplify]: Simplify (sin th) into (sin th)
16.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.784 * [taylor]: Taking taylor expansion of 2.0 in a2
16.784 * [backup-simplify]: Simplify 2.0 into 2.0
16.784 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.784 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.784 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
16.784 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.784 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.785 * [backup-simplify]: Simplify (- 0) into 0
16.785 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.785 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
16.785 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
16.785 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
16.785 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
16.785 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.785 * [taylor]: Taking taylor expansion of a1 in a1
16.785 * [backup-simplify]: Simplify 0 into 0
16.785 * [backup-simplify]: Simplify 1 into 1
16.785 * [taylor]: Taking taylor expansion of (cos th) in a1
16.785 * [taylor]: Taking taylor expansion of th in a1
16.785 * [backup-simplify]: Simplify th into th
16.785 * [backup-simplify]: Simplify (cos th) into (cos th)
16.786 * [backup-simplify]: Simplify (sin th) into (sin th)
16.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.786 * [taylor]: Taking taylor expansion of 2.0 in a1
16.786 * [backup-simplify]: Simplify 2.0 into 2.0
16.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.786 * [backup-simplify]: Simplify (* 1 1) into 1
16.787 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.787 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.787 * [backup-simplify]: Simplify (- 0) into 0
16.787 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.787 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
16.787 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
16.788 * [backup-simplify]: Simplify (+ 0) into 0
16.789 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.791 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
16.791 * [backup-simplify]: Simplify (- 0) into 0
16.791 * [backup-simplify]: Simplify (+ 0 0) into 0
16.791 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.791 * [backup-simplify]: Simplify (+ 0 0) into 0
16.791 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (cos th))) into 0
16.792 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.792 * [taylor]: Taking taylor expansion of 0 in a1
16.792 * [backup-simplify]: Simplify 0 into 0
16.793 * [taylor]: Taking taylor expansion of 0 in th
16.793 * [backup-simplify]: Simplify 0 into 0
16.793 * [backup-simplify]: Simplify 0 into 0
16.793 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.794 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
16.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.794 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
16.795 * [backup-simplify]: Simplify (- 0) into 0
16.795 * [backup-simplify]: Simplify (+ 0 0) into 0
16.795 * [backup-simplify]: Simplify (* 1 1) into 1
16.795 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
16.796 * [backup-simplify]: Simplify (+ 1 0) into 1
16.796 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
16.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.798 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
16.798 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a1
16.798 * [taylor]: Taking taylor expansion of (cos th) in a1
16.798 * [taylor]: Taking taylor expansion of th in a1
16.798 * [backup-simplify]: Simplify th into th
16.798 * [backup-simplify]: Simplify (cos th) into (cos th)
16.798 * [backup-simplify]: Simplify (sin th) into (sin th)
16.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.798 * [taylor]: Taking taylor expansion of 2.0 in a1
16.798 * [backup-simplify]: Simplify 2.0 into 2.0
16.798 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.799 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
16.799 * [backup-simplify]: Simplify (* (sin th) 0) into 0
16.799 * [backup-simplify]: Simplify (- 0) into 0
16.799 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
16.799 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
16.800 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
16.800 * [taylor]: Taking taylor expansion of (cos th) in th
16.800 * [taylor]: Taking taylor expansion of th in th
16.800 * [backup-simplify]: Simplify 0 into 0
16.800 * [backup-simplify]: Simplify 1 into 1
16.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.800 * [taylor]: Taking taylor expansion of 2.0 in th
16.800 * [backup-simplify]: Simplify 2.0 into 2.0
16.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.801 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.801 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.801 * [taylor]: Taking taylor expansion of 0 in th
16.801 * [backup-simplify]: Simplify 0 into 0
16.801 * [backup-simplify]: Simplify 0 into 0
16.802 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
16.802 * [taylor]: Taking taylor expansion of (cos th) in th
16.802 * [taylor]: Taking taylor expansion of th in th
16.802 * [backup-simplify]: Simplify 0 into 0
16.802 * [backup-simplify]: Simplify 1 into 1
16.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.802 * [taylor]: Taking taylor expansion of 2.0 in th
16.802 * [backup-simplify]: Simplify 2.0 into 2.0
16.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.803 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.803 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
16.803 * [backup-simplify]: Simplify 0 into 0
16.804 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.804 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.805 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.806 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.806 * [backup-simplify]: Simplify (- 0) into 0
16.806 * [backup-simplify]: Simplify (+ 0 0) into 0
16.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.807 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
16.807 * [backup-simplify]: Simplify (+ 0 0) into 0
16.808 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
16.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.811 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.811 * [taylor]: Taking taylor expansion of 0 in a1
16.811 * [backup-simplify]: Simplify 0 into 0
16.811 * [taylor]: Taking taylor expansion of 0 in th
16.811 * [backup-simplify]: Simplify 0 into 0
16.811 * [backup-simplify]: Simplify 0 into 0
16.811 * [backup-simplify]: Simplify (+ 0) into 0
16.811 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.812 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
16.812 * [backup-simplify]: Simplify (- 0) into 0
16.812 * [backup-simplify]: Simplify (+ 0 0) into 0
16.813 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.813 * [taylor]: Taking taylor expansion of 0 in th
16.813 * [backup-simplify]: Simplify 0 into 0
16.813 * [backup-simplify]: Simplify 0 into 0
16.813 * [taylor]: Taking taylor expansion of 0 in th
16.813 * [backup-simplify]: Simplify 0 into 0
16.813 * [backup-simplify]: Simplify 0 into 0
16.814 * [backup-simplify]: Simplify (+ 0) into 0
16.814 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
16.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.815 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
16.815 * [backup-simplify]: Simplify (- 0) into 0
16.815 * [backup-simplify]: Simplify (+ 0 0) into 0
16.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos th))) into 0
16.817 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.817 * [taylor]: Taking taylor expansion of 0 in th
16.817 * [backup-simplify]: Simplify 0 into 0
16.817 * [backup-simplify]: Simplify 0 into 0
16.817 * [backup-simplify]: Simplify (+ 0) into 0
16.819 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.819 * [backup-simplify]: Simplify 0 into 0
16.821 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a1 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a2)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
16.823 * [backup-simplify]: Simplify (/ (/ (sqrt (+ (* (/ 1 a2) (/ 1 a2)) (* (/ 1 a1) (/ 1 a1)))) (sqrt 2.0)) (/ (/ 1 (cos (/ 1 th))) (sqrt (+ (pow (/ 1 a1) 2) (* (/ 1 a2) (/ 1 a2)))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
16.823 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a2 a1 th) around 0
16.823 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
16.823 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
16.823 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.823 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.823 * [taylor]: Taking taylor expansion of th in th
16.823 * [backup-simplify]: Simplify 0 into 0
16.823 * [backup-simplify]: Simplify 1 into 1
16.823 * [backup-simplify]: Simplify (/ 1 1) into 1
16.823 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
16.823 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
16.824 * [taylor]: Taking taylor expansion of (pow a2 2) in th
16.824 * [taylor]: Taking taylor expansion of a2 in th
16.824 * [backup-simplify]: Simplify a2 into a2
16.824 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.824 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.824 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
16.824 * [taylor]: Taking taylor expansion of (pow a1 2) in th
16.824 * [taylor]: Taking taylor expansion of a1 in th
16.824 * [backup-simplify]: Simplify a1 into a1
16.824 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.824 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.824 * [taylor]: Taking taylor expansion of 2.0 in th
16.824 * [backup-simplify]: Simplify 2.0 into 2.0
16.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.826 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
16.826 * [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))))
16.827 * [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))
16.827 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
16.827 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.827 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
16.827 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
16.827 * [taylor]: Taking taylor expansion of th in a1
16.828 * [backup-simplify]: Simplify th into th
16.828 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.828 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.828 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.828 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.828 * [taylor]: Taking taylor expansion of a2 in a1
16.828 * [backup-simplify]: Simplify a2 into a2
16.828 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.828 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.828 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.828 * [taylor]: Taking taylor expansion of a1 in a1
16.828 * [backup-simplify]: Simplify 0 into 0
16.828 * [backup-simplify]: Simplify 1 into 1
16.829 * [backup-simplify]: Simplify (* 1 1) into 1
16.829 * [backup-simplify]: Simplify (/ 1 1) into 1
16.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.829 * [taylor]: Taking taylor expansion of 2.0 in a1
16.829 * [backup-simplify]: Simplify 2.0 into 2.0
16.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.830 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.831 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.831 * [backup-simplify]: Simplify (- 0) into 0
16.831 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.832 * [backup-simplify]: Simplify (+ 0 1) into 1
16.832 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.832 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.832 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
16.832 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.832 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
16.832 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
16.832 * [taylor]: Taking taylor expansion of th in a2
16.832 * [backup-simplify]: Simplify th into th
16.832 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.832 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.833 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.833 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.833 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.833 * [taylor]: Taking taylor expansion of a2 in a2
16.833 * [backup-simplify]: Simplify 0 into 0
16.833 * [backup-simplify]: Simplify 1 into 1
16.833 * [backup-simplify]: Simplify (* 1 1) into 1
16.834 * [backup-simplify]: Simplify (/ 1 1) into 1
16.834 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.834 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.834 * [taylor]: Taking taylor expansion of a1 in a2
16.834 * [backup-simplify]: Simplify a1 into a1
16.834 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.834 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.834 * [taylor]: Taking taylor expansion of 2.0 in a2
16.834 * [backup-simplify]: Simplify 2.0 into 2.0
16.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.835 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.835 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.836 * [backup-simplify]: Simplify (- 0) into 0
16.836 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.836 * [backup-simplify]: Simplify (+ 1 0) into 1
16.836 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.837 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.837 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
16.837 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.837 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
16.837 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
16.837 * [taylor]: Taking taylor expansion of th in a2
16.837 * [backup-simplify]: Simplify th into th
16.837 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.837 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.837 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.837 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.838 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.838 * [taylor]: Taking taylor expansion of a2 in a2
16.838 * [backup-simplify]: Simplify 0 into 0
16.838 * [backup-simplify]: Simplify 1 into 1
16.838 * [backup-simplify]: Simplify (* 1 1) into 1
16.838 * [backup-simplify]: Simplify (/ 1 1) into 1
16.838 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.838 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.838 * [taylor]: Taking taylor expansion of a1 in a2
16.838 * [backup-simplify]: Simplify a1 into a1
16.839 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.839 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.839 * [taylor]: Taking taylor expansion of 2.0 in a2
16.839 * [backup-simplify]: Simplify 2.0 into 2.0
16.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.840 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.840 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.841 * [backup-simplify]: Simplify (- 0) into 0
16.841 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.841 * [backup-simplify]: Simplify (+ 1 0) into 1
16.841 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.842 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.842 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a1
16.842 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
16.842 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
16.842 * [taylor]: Taking taylor expansion of th in a1
16.842 * [backup-simplify]: Simplify th into th
16.842 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.842 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.842 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.842 * [taylor]: Taking taylor expansion of 2.0 in a1
16.843 * [backup-simplify]: Simplify 2.0 into 2.0
16.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.844 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.844 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.844 * [backup-simplify]: Simplify (- 0) into 0
16.844 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.845 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.847 * [backup-simplify]: Simplify (+ 0 0) into 0
16.847 * [backup-simplify]: Simplify (+ 0) into 0
16.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
16.849 * [backup-simplify]: Simplify (- 0) into 0
16.850 * [backup-simplify]: Simplify (+ 0 0) into 0
16.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.852 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.852 * [taylor]: Taking taylor expansion of 0 in a1
16.852 * [backup-simplify]: Simplify 0 into 0
16.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.854 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
16.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.857 * [backup-simplify]: Simplify (- 0) into 0
16.858 * [backup-simplify]: Simplify (+ 0 0) into 0
16.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a1 2))
16.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.862 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a1 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 a1 2)))
16.862 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
16.862 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
16.862 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
16.862 * [taylor]: Taking taylor expansion of th in a1
16.862 * [backup-simplify]: Simplify th into th
16.862 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.862 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.863 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.863 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
16.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.863 * [taylor]: Taking taylor expansion of 2.0 in a1
16.863 * [backup-simplify]: Simplify 2.0 into 2.0
16.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.864 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.864 * [taylor]: Taking taylor expansion of a1 in a1
16.864 * [backup-simplify]: Simplify 0 into 0
16.864 * [backup-simplify]: Simplify 1 into 1
16.864 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
16.864 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
16.865 * [backup-simplify]: Simplify (- 0) into 0
16.865 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
16.865 * [backup-simplify]: Simplify (* 1 1) into 1
16.866 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
16.866 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.866 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
16.866 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.866 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.866 * [taylor]: Taking taylor expansion of th in th
16.867 * [backup-simplify]: Simplify 0 into 0
16.867 * [backup-simplify]: Simplify 1 into 1
16.867 * [backup-simplify]: Simplify (/ 1 1) into 1
16.867 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.867 * [taylor]: Taking taylor expansion of 2.0 in th
16.867 * [backup-simplify]: Simplify 2.0 into 2.0
16.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.869 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.870 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.870 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
16.870 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
16.870 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.870 * [taylor]: Taking taylor expansion of th in th
16.870 * [backup-simplify]: Simplify 0 into 0
16.870 * [backup-simplify]: Simplify 1 into 1
16.870 * [backup-simplify]: Simplify (/ 1 1) into 1
16.870 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.870 * [taylor]: Taking taylor expansion of 2.0 in th
16.870 * [backup-simplify]: Simplify 2.0 into 2.0
16.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.872 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.873 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
16.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.875 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
16.876 * [backup-simplify]: Simplify (+ 0 0) into 0
16.876 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.880 * [backup-simplify]: Simplify (- 0) into 0
16.881 * [backup-simplify]: Simplify (+ 0 0) into 0
16.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
16.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.886 * [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 a1 2))) (/ 0 (sqrt 2.0))))) into 0
16.886 * [taylor]: Taking taylor expansion of 0 in a1
16.886 * [backup-simplify]: Simplify 0 into 0
16.887 * [backup-simplify]: Simplify (+ 0) into 0
16.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
16.889 * [backup-simplify]: Simplify (- 0) into 0
16.890 * [backup-simplify]: Simplify (+ 0 0) into 0
16.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.891 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
16.893 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.893 * [taylor]: Taking taylor expansion of 0 in th
16.893 * [backup-simplify]: Simplify 0 into 0
16.893 * [backup-simplify]: Simplify 0 into 0
16.893 * [taylor]: Taking taylor expansion of 0 in th
16.893 * [backup-simplify]: Simplify 0 into 0
16.893 * [backup-simplify]: Simplify 0 into 0
16.894 * [backup-simplify]: Simplify (+ 0) into 0
16.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
16.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.896 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
16.896 * [backup-simplify]: Simplify (- 0) into 0
16.896 * [backup-simplify]: Simplify (+ 0 0) into 0
16.898 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.898 * [taylor]: Taking taylor expansion of 0 in th
16.898 * [backup-simplify]: Simplify 0 into 0
16.898 * [backup-simplify]: Simplify 0 into 0
16.900 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.900 * [backup-simplify]: Simplify 0 into 0
16.901 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.901 * [backup-simplify]: Simplify 0 into 0
16.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.904 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
16.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
16.905 * [backup-simplify]: Simplify (+ 0 0) into 0
16.908 * [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
16.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.910 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
16.912 * [backup-simplify]: Simplify (- 0) into 0
16.912 * [backup-simplify]: Simplify (+ 0 0) into 0
16.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0
16.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.919 * [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 a1 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.919 * [taylor]: Taking taylor expansion of 0 in a1
16.919 * [backup-simplify]: Simplify 0 into 0
16.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.924 * [backup-simplify]: Simplify (- 0) into 0
16.924 * [backup-simplify]: Simplify (+ 0 0) into 0
16.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.926 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
16.927 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.927 * [taylor]: Taking taylor expansion of 0 in th
16.927 * [backup-simplify]: Simplify 0 into 0
16.927 * [backup-simplify]: Simplify 0 into 0
16.928 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a2)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
16.929 * [backup-simplify]: Simplify (/ (/ (sqrt (+ (* (/ 1 (- a2)) (/ 1 (- a2))) (* (/ 1 (- a1)) (/ 1 (- a1))))) (sqrt 2.0)) (/ (/ 1 (cos (/ 1 (- th)))) (sqrt (+ (pow (/ 1 (- a1)) 2) (* (/ 1 (- a2)) (/ 1 (- a2))))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
16.929 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a2 a1 th) around 0
16.929 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
16.929 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
16.929 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.929 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.929 * [taylor]: Taking taylor expansion of -1 in th
16.929 * [backup-simplify]: Simplify -1 into -1
16.929 * [taylor]: Taking taylor expansion of th in th
16.929 * [backup-simplify]: Simplify 0 into 0
16.929 * [backup-simplify]: Simplify 1 into 1
16.929 * [backup-simplify]: Simplify (/ -1 1) into -1
16.930 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
16.930 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
16.930 * [taylor]: Taking taylor expansion of (pow a2 2) in th
16.930 * [taylor]: Taking taylor expansion of a2 in th
16.930 * [backup-simplify]: Simplify a2 into a2
16.930 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.930 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.930 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
16.930 * [taylor]: Taking taylor expansion of (pow a1 2) in th
16.930 * [taylor]: Taking taylor expansion of a1 in th
16.930 * [backup-simplify]: Simplify a1 into a1
16.930 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.930 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.930 * [taylor]: Taking taylor expansion of 2.0 in th
16.930 * [backup-simplify]: Simplify 2.0 into 2.0
16.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.931 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
16.931 * [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))))
16.932 * [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))
16.932 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
16.932 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
16.932 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
16.932 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
16.932 * [taylor]: Taking taylor expansion of -1 in a1
16.932 * [backup-simplify]: Simplify -1 into -1
16.932 * [taylor]: Taking taylor expansion of th in a1
16.932 * [backup-simplify]: Simplify th into th
16.932 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.932 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.932 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
16.932 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
16.932 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
16.932 * [taylor]: Taking taylor expansion of a2 in a1
16.932 * [backup-simplify]: Simplify a2 into a2
16.932 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
16.932 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
16.932 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
16.932 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.932 * [taylor]: Taking taylor expansion of a1 in a1
16.932 * [backup-simplify]: Simplify 0 into 0
16.932 * [backup-simplify]: Simplify 1 into 1
16.933 * [backup-simplify]: Simplify (* 1 1) into 1
16.933 * [backup-simplify]: Simplify (/ 1 1) into 1
16.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.933 * [taylor]: Taking taylor expansion of 2.0 in a1
16.933 * [backup-simplify]: Simplify 2.0 into 2.0
16.933 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.934 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.934 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.934 * [backup-simplify]: Simplify (- 0) into 0
16.934 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.934 * [backup-simplify]: Simplify (+ 0 1) into 1
16.934 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.935 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.935 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
16.935 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.935 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
16.935 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
16.935 * [taylor]: Taking taylor expansion of -1 in a2
16.935 * [backup-simplify]: Simplify -1 into -1
16.935 * [taylor]: Taking taylor expansion of th in a2
16.935 * [backup-simplify]: Simplify th into th
16.935 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.935 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.935 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.935 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.935 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.935 * [taylor]: Taking taylor expansion of a2 in a2
16.935 * [backup-simplify]: Simplify 0 into 0
16.935 * [backup-simplify]: Simplify 1 into 1
16.935 * [backup-simplify]: Simplify (* 1 1) into 1
16.936 * [backup-simplify]: Simplify (/ 1 1) into 1
16.936 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.936 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.936 * [taylor]: Taking taylor expansion of a1 in a2
16.936 * [backup-simplify]: Simplify a1 into a1
16.936 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.936 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.936 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.936 * [taylor]: Taking taylor expansion of 2.0 in a2
16.936 * [backup-simplify]: Simplify 2.0 into 2.0
16.936 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.937 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.937 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.937 * [backup-simplify]: Simplify (- 0) into 0
16.937 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.937 * [backup-simplify]: Simplify (+ 1 0) into 1
16.937 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.938 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.938 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
16.938 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
16.938 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
16.938 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
16.938 * [taylor]: Taking taylor expansion of -1 in a2
16.938 * [backup-simplify]: Simplify -1 into -1
16.938 * [taylor]: Taking taylor expansion of th in a2
16.938 * [backup-simplify]: Simplify th into th
16.938 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.938 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.938 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
16.938 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
16.938 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
16.938 * [taylor]: Taking taylor expansion of a2 in a2
16.938 * [backup-simplify]: Simplify 0 into 0
16.938 * [backup-simplify]: Simplify 1 into 1
16.938 * [backup-simplify]: Simplify (* 1 1) into 1
16.938 * [backup-simplify]: Simplify (/ 1 1) into 1
16.938 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
16.938 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
16.938 * [taylor]: Taking taylor expansion of a1 in a2
16.938 * [backup-simplify]: Simplify a1 into a1
16.939 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
16.939 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
16.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
16.939 * [taylor]: Taking taylor expansion of 2.0 in a2
16.939 * [backup-simplify]: Simplify 2.0 into 2.0
16.939 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.939 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.939 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.940 * [backup-simplify]: Simplify (- 0) into 0
16.940 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.940 * [backup-simplify]: Simplify (+ 1 0) into 1
16.940 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.940 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.940 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a1
16.941 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
16.941 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
16.941 * [taylor]: Taking taylor expansion of -1 in a1
16.941 * [backup-simplify]: Simplify -1 into -1
16.941 * [taylor]: Taking taylor expansion of th in a1
16.941 * [backup-simplify]: Simplify th into th
16.941 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.941 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.941 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.941 * [taylor]: Taking taylor expansion of 2.0 in a1
16.941 * [backup-simplify]: Simplify 2.0 into 2.0
16.941 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.942 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.942 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.942 * [backup-simplify]: Simplify (- 0) into 0
16.942 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.943 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.944 * [backup-simplify]: Simplify (+ 0 0) into 0
16.944 * [backup-simplify]: Simplify (+ 0) into 0
16.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.944 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
16.945 * [backup-simplify]: Simplify (- 0) into 0
16.946 * [backup-simplify]: Simplify (+ 0 0) into 0
16.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.947 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.947 * [taylor]: Taking taylor expansion of 0 in a1
16.947 * [backup-simplify]: Simplify 0 into 0
16.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.948 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow a1 2))) into (/ 1 (pow a1 2))
16.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.949 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.950 * [backup-simplify]: Simplify (- 0) into 0
16.950 * [backup-simplify]: Simplify (+ 0 0) into 0
16.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a1 2))
16.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.953 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a1 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
16.953 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
16.953 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
16.953 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
16.953 * [taylor]: Taking taylor expansion of -1 in a1
16.953 * [backup-simplify]: Simplify -1 into -1
16.953 * [taylor]: Taking taylor expansion of th in a1
16.953 * [backup-simplify]: Simplify th into th
16.953 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.953 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.953 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.953 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
16.953 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
16.953 * [taylor]: Taking taylor expansion of a1 in a1
16.953 * [backup-simplify]: Simplify 0 into 0
16.953 * [backup-simplify]: Simplify 1 into 1
16.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
16.953 * [taylor]: Taking taylor expansion of 2.0 in a1
16.953 * [backup-simplify]: Simplify 2.0 into 2.0
16.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.954 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
16.954 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
16.954 * [backup-simplify]: Simplify (- 0) into 0
16.955 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
16.955 * [backup-simplify]: Simplify (* 1 1) into 1
16.955 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
16.956 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.956 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
16.956 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.956 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.956 * [taylor]: Taking taylor expansion of -1 in th
16.956 * [backup-simplify]: Simplify -1 into -1
16.956 * [taylor]: Taking taylor expansion of th in th
16.956 * [backup-simplify]: Simplify 0 into 0
16.956 * [backup-simplify]: Simplify 1 into 1
16.956 * [backup-simplify]: Simplify (/ -1 1) into -1
16.956 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.956 * [taylor]: Taking taylor expansion of 2.0 in th
16.956 * [backup-simplify]: Simplify 2.0 into 2.0
16.956 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.957 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.958 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.958 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
16.958 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
16.958 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.958 * [taylor]: Taking taylor expansion of -1 in th
16.958 * [backup-simplify]: Simplify -1 into -1
16.958 * [taylor]: Taking taylor expansion of th in th
16.958 * [backup-simplify]: Simplify 0 into 0
16.958 * [backup-simplify]: Simplify 1 into 1
16.959 * [backup-simplify]: Simplify (/ -1 1) into -1
16.959 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
16.959 * [taylor]: Taking taylor expansion of 2.0 in th
16.959 * [backup-simplify]: Simplify 2.0 into 2.0
16.959 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
16.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
16.961 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.961 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
16.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.963 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
16.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
16.964 * [backup-simplify]: Simplify (+ 0 0) into 0
16.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.966 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.966 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.969 * [backup-simplify]: Simplify (- 0) into 0
16.969 * [backup-simplify]: Simplify (+ 0 0) into 0
16.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1)))) into 0
16.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.974 * [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)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (sqrt 2.0))))) into 0
16.974 * [taylor]: Taking taylor expansion of 0 in a1
16.974 * [backup-simplify]: Simplify 0 into 0
16.974 * [backup-simplify]: Simplify (+ 0) into 0
16.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.975 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
16.976 * [backup-simplify]: Simplify (- 0) into 0
16.976 * [backup-simplify]: Simplify (+ 0 0) into 0
16.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
16.978 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.978 * [taylor]: Taking taylor expansion of 0 in th
16.978 * [backup-simplify]: Simplify 0 into 0
16.978 * [backup-simplify]: Simplify 0 into 0
16.978 * [taylor]: Taking taylor expansion of 0 in th
16.978 * [backup-simplify]: Simplify 0 into 0
16.978 * [backup-simplify]: Simplify 0 into 0
16.978 * [backup-simplify]: Simplify (+ 0) into 0
16.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
16.978 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
16.979 * [backup-simplify]: Simplify (- 0) into 0
16.980 * [backup-simplify]: Simplify (+ 0 0) into 0
16.980 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.980 * [taylor]: Taking taylor expansion of 0 in th
16.981 * [backup-simplify]: Simplify 0 into 0
16.981 * [backup-simplify]: Simplify 0 into 0
16.981 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.982 * [backup-simplify]: Simplify 0 into 0
16.982 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
16.982 * [backup-simplify]: Simplify 0 into 0
16.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.984 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
16.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
16.985 * [backup-simplify]: Simplify (+ 0 0) into 0
16.986 * [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
16.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
16.987 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.987 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
16.988 * [backup-simplify]: Simplify (- 0) into 0
16.988 * [backup-simplify]: Simplify (+ 0 0) into 0
16.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a1 2))) (+ (* 0 0) (* 0 1))))) into 0
16.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
16.992 * [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)) (* (pow a1 2) (sqrt 2.0))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.993 * [taylor]: Taking taylor expansion of 0 in a1
16.993 * [backup-simplify]: Simplify 0 into 0
16.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.994 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.995 * [backup-simplify]: Simplify (- 0) into 0
16.995 * [backup-simplify]: Simplify (+ 0 0) into 0
16.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
16.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
16.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
16.998 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
16.998 * [taylor]: Taking taylor expansion of 0 in th
16.998 * [backup-simplify]: Simplify 0 into 0
16.998 * [backup-simplify]: Simplify 0 into 0
16.999 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a2))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
16.999 * * * [progress]: simplifying candidates
17.225 * [simplify]: Simplifying:
  (log (sqrt (+ (pow a1 2) (* a2 a2))))
  (exp (sqrt (+ (pow a1 2) (* a2 a2))))
  (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))
  (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))
  (sqrt (cbrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (pow a1 2) (* a2 a2)))
  (sqrt (+ (pow (pow a1 2) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (pow a1 2) (pow a1 2)) (- (* (* a2 a2) (* a2 a2)) (* (pow a1 2) (* a2 a2)))))
  (sqrt (- (* (pow a1 2) (pow a1 2)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (pow a1 2) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))
  (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))))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt 1)
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
  (sqrt (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1)))))
  (sqrt (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))))
  (sqrt (- (* a2 a2) (* a1 a1)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (sqrt 2.0)))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (exp (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) 2.0)
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (sqrt 2.0))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt 1))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) 1)
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt 1))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))) 1)
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) 1)
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) 1)
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) 1)
  (/ (sqrt 2.0) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt 2.0) (sqrt (+ (* (* a2 a2) (* a2 a2)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a1 a1))))))
  (* (sqrt 2.0) (sqrt (- (* a2 a2) (* a1 a1))))
  (- (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (sqrt 2.0))) (- (- (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (sqrt 2.0))) (- (- 0 (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (sqrt 2.0))) (- (- (log 1) (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (sqrt 2.0))) (- (log (/ 1 (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (- (log (sqrt (+ (* a2 a2) (* a1 a1)))) (log (sqrt 2.0))) (log (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (- (- (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (- (- 0 (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (- (- (log 1) (log (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (- (log (/ 1 (cos th))) (log (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (log (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (exp (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (/ (* (* 1 1) 1) (* (* (cos th) (cos th)) (cos th))) (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (/ (* (* (/ 1 (cos th)) (/ 1 (cos th))) (/ 1 (cos th))) (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (/ (* (* 1 1) 1) (* (* (cos th) (cos th)) (cos th))) (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (* (* (/ 1 (cos th)) (/ 1 (cos th))) (/ 1 (cos th))) (* (* (sqrt (+ (pow a1 2) (* a2 a2))) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (* (* (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (* (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))) (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (* (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (sqrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (sqrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (- (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (- (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (* (cbrt (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt 1)))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) 1))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (pow a1 2) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (sqrt (/ 1 (cos th))) (* (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (sqrt (/ 1 (cos th))) (sqrt (* (cbrt (+ (pow a1 2) (* a2 a2))) (cbrt (+ (pow a1 2) (* a2 a2)))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (sqrt (/ 1 (cos th))) (sqrt 1)))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (+ (pow a1 2) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cos th)) (cbrt (sqrt (+ (pow a1 2) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (pow a1 2) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (pow a1 2) (* a2 a2))))))
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  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (/ 1 (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th)))
  (* (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))) (sqrt 2.0))
  a2
  a1
  (* -1 a1)
  a1
  a2
  (* -1 a2)
  (/ a1 (sqrt 2.0))
  (/ a2 (sqrt 2.0))
  (* -1 (/ a2 (sqrt 2.0)))
  (+ (/ (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)))
17.517 * * [simplify]: iteration 0: 3245 enodes
19.222 * * [simplify]: iteration complete: 5000 enodes
19.229 * * [simplify]: Extracting #0: cost 2689 inf + 0
19.257 * * [simplify]: Extracting #1: cost 3602 inf + 5
19.276 * * [simplify]: Extracting #2: cost 3651 inf + 81
19.289 * * [simplify]: Extracting #3: cost 3585 inf + 749
19.300 * * [simplify]: Extracting #4: cost 2988 inf + 11756
19.322 * * [simplify]: Extracting #5: cost 963 inf + 65092
19.340 * * [simplify]: Extracting #6: cost 6 inf + 94325
19.360 * * [simplify]: Extracting #7: cost 0 inf + 94495
19.457 * [simplify]: Simplified to:
  (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))))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (fabs (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 (+ (pow a1 (* 2 2)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
  (sqrt (- (pow a1 (* 2 2)) (* (* 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 (+ (* 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))))
  (sqrt 1)
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
  (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2)))))
  (sqrt (- (* (* a2 a2) (* a2 a2)) (pow a1 (* 2 2))))
  (sqrt (- (* a2 a2) (* a1 a1)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (exp (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2.0) 2.0))
  (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) 2.0)
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (sqrt 2.0))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0)))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt 1))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (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)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ (sqrt 1) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (sqrt 1)
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (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)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (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)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 1))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt 2.0) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt 2.0) (sqrt (+ (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (- (* a1 a1) (* a2 a2))))))
  (* (sqrt 2.0) (sqrt (- (* a2 a2) (* a1 a1))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (exp (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2.0) 2.0)) (/ (/ 1 (* (* (cos th) (cos th)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2.0) 2.0)) (* (/ (* (/ 1 (cos th)) (/ 1 (cos th))) (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (+ (* a2 a2) (* a1 a1)) (sqrt (+ (* a2 a2) (* a1 a1)))) (* (sqrt 2.0) 2.0)) (* (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (/ 1 (* (* (cos th) (cos th)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (* (/ (* (/ 1 (cos th)) (/ 1 (cos th))) (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (/ (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (* (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (* (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (cbrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (sqrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (sqrt (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (- (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (- (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (* (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))))
  (* (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ 1 (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (cbrt (/ 1 (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt 1)))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))))
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  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))))
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  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (* (cbrt 1) (cbrt 1))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
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  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (* (cbrt 1) (cbrt 1)))
  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (* (/ (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt 1)))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0))) (sqrt (/ 1 (cos th))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (cbrt 1) (sqrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (cbrt 1) (sqrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt 1) (cbrt 1)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt 1) (cbrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (sqrt 1) (cbrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ 1 (sqrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1) (cos th))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt 1)))
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  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (sqrt 1) (sqrt 1)))
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  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ 1 (cbrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (sqrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ 1 (sqrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (sqrt (cos th))))
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  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 1) (fabs (cbrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (fabs (cbrt 2.0))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
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  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ 1 (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 1)
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  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 1)
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 1)
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cos th)
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (+ (pow a1 (* 2 2)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
  (* (/ 1 (/ 1 (cos th))) (sqrt (- (pow a1 (* 2 2)) (* (* a2 a2) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (sqrt (/ 1 (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (sqrt (/ 1 (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (sqrt (/ 1 (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt 1) (sqrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt 1) (cbrt 1)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt 1) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (cbrt 1) (cbrt 1))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (cbrt 1) (cbrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt 1)))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (cos th))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ 1 (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ 1 (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 1) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt 1) (cbrt 1))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt 1) (cbrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (cbrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (sqrt 1) (cbrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ (sqrt 1) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ 1 (sqrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (cos th)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (/ 1 (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (sqrt (+ (pow a1 (* 2 2)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
  (* (/ (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ 1 (cos th))) (sqrt (- (pow a1 (* 2 2)) (* (* a2 a2) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ 1 (fabs (cbrt 2.0))) (* (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (* (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (sqrt (/ 1 (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (fabs (cbrt 2.0))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (sqrt 1)))
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  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (fabs (cbrt 2.0))) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (cos th)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ 1 (fabs (cbrt 2.0))) (/ 1 (cos th))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (sqrt (+ (pow a1 (* 2 2)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
  (/ (/ 1 (fabs (cbrt 2.0))) (/ (/ 1 (cos th)) (sqrt (- (pow a1 (* 2 2)) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (* (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 1)) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (sqrt (/ 1 (cos th))) (sqrt 1)))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (sqrt (/ 1 (cos th))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 1)) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ (* (cbrt 1) (cbrt 1)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (cbrt 1) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 1)) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt 1)) 1) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt 1)) 1) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ 1 (cos th)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (+ (pow a1 (* 2 2)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))))
  (/ (/ 1 (sqrt 1)) (/ (/ 1 (cos th)) (sqrt (- (pow a1 (* 2 2)) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (* (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (* (cbrt (/ 1 (cos th))) (cbrt (/ 1 (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (/ 1 (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (cbrt (/ 1 (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (cbrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  1
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  1
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  1
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  1
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (cbrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ 1 (/ (cbrt (/ 1 (cos th))) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ 1 (cos th))))))
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  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (sqrt 1)
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  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
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  1
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  1
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  (/ (/ 1 (sqrt 2.0)) (/ (sqrt (/ 1 (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 2.0)) (/ (sqrt (/ 1 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ 1 (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (/ (cbrt 1) (cbrt (cos th))) (/ (cbrt 1) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt 2.0)) (/ (/ (cbrt 1) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt 1)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt 1) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (sqrt 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt 1))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt 1)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (- (pow a1 (* 2 2)) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))))
  (* (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (* (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (* (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt 2.0))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (* (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt 2.0))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ 1 (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ 1 (cos th)))
  (/ (* (/ 1 (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))
  a2
  a1
  (- a1)
  a1
  a2
  (- a2)
  (/ a1 (sqrt 2.0))
  (/ a2 (sqrt 2.0))
  (/ (- a2) (sqrt 2.0))
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* a1 a1) (/ (sqrt 2.0) (cos th))) (/ (cos th) (/ (sqrt 2.0) (* a2 a2))))
  (+ (/ (* a1 a1) (/ (sqrt 2.0) (cos th))) (/ (cos th) (/ (sqrt 2.0) (* a2 a2))))
19.557 * * * [progress]: adding candidates to table
39.756 * [progress]: [Phase 3 of 3] Extracting.
39.756 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
39.760 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1)
39.760 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
39.841 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
39.915 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
39.971 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
40.047 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
40.138 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
40.222 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (/ (/ 1 (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (/ (+ (pow a1 2) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2))))))> #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (sqrt (sqrt 2.0)) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th))))>)
40.293 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
40.293 * [simplify]: Simplifying:
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
40.293 * * [simplify]: iteration 0: 17 enodes
40.295 * * [simplify]: iteration 1: 19 enodes
40.296 * * [simplify]: iteration complete: 19 enodes
40.296 * * [simplify]: Extracting #0: cost 1 inf + 0
40.296 * * [simplify]: Extracting #1: cost 3 inf + 0
40.296 * * [simplify]: Extracting #2: cost 6 inf + 0
40.296 * * [simplify]: Extracting #3: cost 11 inf + 0
40.296 * * [simplify]: Extracting #4: cost 16 inf + 0
40.296 * * [simplify]: Extracting #5: cost 10 inf + 11
40.296 * * [simplify]: Extracting #6: cost 7 inf + 20
40.296 * * [simplify]: Extracting #7: cost 3 inf + 45
40.296 * * [simplify]: Extracting #8: cost 1 inf + 67
40.296 * * [simplify]: Extracting #9: cost 0 inf + 90
40.296 * [simplify]: Simplified to:
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow a1 2) (* a2 a2)))))
48.106 * [regime-testing]: Baseline error score: 0.47553953503111474
48.110 * [regime-testing]: Oracle error score: 0.028435983450260945
48.118 * [regime-testing]: End program error score: 0.47553953503111474