49.530 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.102 * * * [progress]: [2/2] Setting up program.
0.111 * [progress]: [Phase 2 of 3] Improving.
0.112 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.112 * * [simplify]: iteration 0: 12 enodes
0.116 * * [simplify]: iteration 1: 25 enodes
0.124 * * [simplify]: iteration 2: 49 enodes
0.134 * * [simplify]: iteration 3: 76 enodes
0.174 * * [simplify]: iteration 4: 95 enodes
0.187 * * [simplify]: iteration 5: 111 enodes
0.207 * * [simplify]: iteration 6: 126 enodes
0.241 * * [simplify]: iteration 7: 142 enodes
0.263 * * [simplify]: iteration complete: 142 enodes
0.263 * * [simplify]: Extracting #0: cost 1 inf + 0
0.263 * * [simplify]: Extracting #1: cost 12 inf + 0
0.263 * * [simplify]: Extracting #2: cost 34 inf + 0
0.263 * * [simplify]: Extracting #3: cost 25 inf + 432
0.264 * * [simplify]: Extracting #4: cost 4 inf + 3460
0.265 * * [simplify]: Extracting #5: cost 0 inf + 4252
0.266 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
0.274 * * [progress]: iteration 1 / 4
0.274 * * * [progress]: picking best candidate
0.283 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))>
0.283 * * * [progress]: localizing error
0.311 * * * [progress]: generating rewritten candidates
0.311 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.364 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.371 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.387 * * * [progress]: generating series expansions
0.387 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.388 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
0.388 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
0.388 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
0.388 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
0.388 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
0.388 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.388 * [taylor]: Taking taylor expansion of a2 in th
0.388 * [backup-simplify]: Simplify a2 into a2
0.388 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.388 * [taylor]: Taking taylor expansion of a1 in th
0.388 * [backup-simplify]: Simplify a1 into a1
0.388 * [taylor]: Taking taylor expansion of (cos th) in th
0.388 * [taylor]: Taking taylor expansion of th in th
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.388 * [taylor]: Taking taylor expansion of 2.0 in th
0.388 * [backup-simplify]: Simplify 2.0 into 2.0
0.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.389 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.389 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
0.389 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
0.390 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
0.390 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
0.390 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
0.390 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.390 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.390 * [taylor]: Taking taylor expansion of a2 in a2
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.390 * [taylor]: Taking taylor expansion of a1 in a2
0.390 * [backup-simplify]: Simplify a1 into a1
0.390 * [taylor]: Taking taylor expansion of (cos th) in a2
0.390 * [taylor]: Taking taylor expansion of th in a2
0.390 * [backup-simplify]: Simplify th into th
0.390 * [backup-simplify]: Simplify (cos th) into (cos th)
0.390 * [backup-simplify]: Simplify (sin th) into (sin th)
0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.390 * [taylor]: Taking taylor expansion of 2.0 in a2
0.390 * [backup-simplify]: Simplify 2.0 into 2.0
0.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.391 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.391 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
0.391 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.391 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.391 * [backup-simplify]: Simplify (- 0) into 0
0.391 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.392 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
0.392 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.392 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.392 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.392 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.392 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.392 * [taylor]: Taking taylor expansion of a2 in a1
0.392 * [backup-simplify]: Simplify a2 into a2
0.392 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.392 * [taylor]: Taking taylor expansion of a1 in a1
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [taylor]: Taking taylor expansion of (cos th) in a1
0.392 * [taylor]: Taking taylor expansion of th in a1
0.392 * [backup-simplify]: Simplify th into th
0.392 * [backup-simplify]: Simplify (cos th) into (cos th)
0.392 * [backup-simplify]: Simplify (sin th) into (sin th)
0.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.392 * [taylor]: Taking taylor expansion of 2.0 in a1
0.392 * [backup-simplify]: Simplify 2.0 into 2.0
0.392 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.393 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.393 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.393 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.393 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.393 * [backup-simplify]: Simplify (- 0) into 0
0.394 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.394 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.394 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.394 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.394 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.394 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.394 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.394 * [taylor]: Taking taylor expansion of a2 in a1
0.394 * [backup-simplify]: Simplify a2 into a2
0.394 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.394 * [taylor]: Taking taylor expansion of a1 in a1
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of (cos th) in a1
0.394 * [taylor]: Taking taylor expansion of th in a1
0.394 * [backup-simplify]: Simplify th into th
0.394 * [backup-simplify]: Simplify (cos th) into (cos th)
0.395 * [backup-simplify]: Simplify (sin th) into (sin th)
0.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.395 * [taylor]: Taking taylor expansion of 2.0 in a1
0.395 * [backup-simplify]: Simplify 2.0 into 2.0
0.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.395 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.395 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.395 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.396 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.396 * [backup-simplify]: Simplify (- 0) into 0
0.396 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.396 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.396 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.396 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.396 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.396 * [taylor]: Taking taylor expansion of (cos th) in a2
0.396 * [taylor]: Taking taylor expansion of th in a2
0.396 * [backup-simplify]: Simplify th into th
0.396 * [backup-simplify]: Simplify (cos th) into (cos th)
0.396 * [backup-simplify]: Simplify (sin th) into (sin th)
0.397 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.397 * [taylor]: Taking taylor expansion of a2 in a2
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.397 * [taylor]: Taking taylor expansion of 2.0 in a2
0.397 * [backup-simplify]: Simplify 2.0 into 2.0
0.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.397 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.397 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.398 * [backup-simplify]: Simplify (- 0) into 0
0.398 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.398 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.399 * [backup-simplify]: Simplify (+ 0) into 0
0.399 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.400 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.401 * [backup-simplify]: Simplify (+ 0 0) into 0
0.401 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
0.402 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.402 * [taylor]: Taking taylor expansion of 0 in a2
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [taylor]: Taking taylor expansion of 0 in th
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.403 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.404 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
0.404 * [backup-simplify]: Simplify (- 0) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (+ 0 1) into 1
0.406 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
0.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.408 * [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))
0.408 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
0.408 * [taylor]: Taking taylor expansion of (cos th) in a2
0.408 * [taylor]: Taking taylor expansion of th in a2
0.408 * [backup-simplify]: Simplify th into th
0.408 * [backup-simplify]: Simplify (cos th) into (cos th)
0.408 * [backup-simplify]: Simplify (sin th) into (sin th)
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.408 * [taylor]: Taking taylor expansion of 2.0 in a2
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.409 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.409 * [backup-simplify]: Simplify (- 0) into 0
0.409 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.409 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.410 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.410 * [taylor]: Taking taylor expansion of (cos th) in th
0.410 * [taylor]: Taking taylor expansion of th in th
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.410 * [taylor]: Taking taylor expansion of 2.0 in th
0.410 * [backup-simplify]: Simplify 2.0 into 2.0
0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.411 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.411 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.411 * [taylor]: Taking taylor expansion of 0 in th
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.412 * [taylor]: Taking taylor expansion of (cos th) in th
0.412 * [taylor]: Taking taylor expansion of th in th
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.412 * [taylor]: Taking taylor expansion of 2.0 in th
0.412 * [backup-simplify]: Simplify 2.0 into 2.0
0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.413 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.413 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.415 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.416 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.416 * [backup-simplify]: Simplify (- 0) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
0.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.421 * [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
0.421 * [taylor]: Taking taylor expansion of 0 in a2
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [taylor]: Taking taylor expansion of 0 in th
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify (+ 0) into 0
0.422 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.422 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.423 * [backup-simplify]: Simplify (- 0) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.424 * [taylor]: Taking taylor expansion of 0 in th
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [taylor]: Taking taylor expansion of 0 in th
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (+ 0) into 0
0.425 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.426 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.426 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.427 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.427 * [taylor]: Taking taylor expansion of 0 in th
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify (+ 0) into 0
0.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.428 * [backup-simplify]: Simplify 0 into 0
0.430 * [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)))
0.430 * [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))
0.430 * [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
0.430 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.430 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.430 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.430 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.430 * [taylor]: Taking taylor expansion of th in th
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify (/ 1 1) into 1
0.431 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.431 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.431 * [taylor]: Taking taylor expansion of a2 in th
0.431 * [backup-simplify]: Simplify a2 into a2
0.431 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.431 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.431 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.431 * [taylor]: Taking taylor expansion of a1 in th
0.431 * [backup-simplify]: Simplify a1 into a1
0.431 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.431 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.431 * [taylor]: Taking taylor expansion of 2.0 in th
0.431 * [backup-simplify]: Simplify 2.0 into 2.0
0.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.432 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.432 * [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))))
0.433 * [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))
0.433 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.433 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.433 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.433 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.433 * [taylor]: Taking taylor expansion of th in a2
0.433 * [backup-simplify]: Simplify th into th
0.433 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.433 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.433 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.433 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.433 * [taylor]: Taking taylor expansion of a2 in a2
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.434 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.434 * [taylor]: Taking taylor expansion of a1 in a2
0.434 * [backup-simplify]: Simplify a1 into a1
0.434 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.434 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.434 * [taylor]: Taking taylor expansion of 2.0 in a2
0.434 * [backup-simplify]: Simplify 2.0 into 2.0
0.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.435 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.435 * [backup-simplify]: Simplify (- 0) into 0
0.435 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.435 * [backup-simplify]: Simplify (+ 1 0) into 1
0.435 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.436 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.436 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.436 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.436 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.436 * [taylor]: Taking taylor expansion of th in a1
0.436 * [backup-simplify]: Simplify th into th
0.436 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.436 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.436 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.436 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.436 * [taylor]: Taking taylor expansion of a2 in a1
0.436 * [backup-simplify]: Simplify a2 into a2
0.436 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.436 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.436 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.436 * [taylor]: Taking taylor expansion of a1 in a1
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (* 1 1) into 1
0.437 * [backup-simplify]: Simplify (/ 1 1) into 1
0.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.437 * [taylor]: Taking taylor expansion of 2.0 in a1
0.437 * [backup-simplify]: Simplify 2.0 into 2.0
0.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.438 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.438 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.438 * [backup-simplify]: Simplify (- 0) into 0
0.438 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.438 * [backup-simplify]: Simplify (+ 0 1) into 1
0.438 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.439 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.439 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.439 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.439 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.439 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.439 * [taylor]: Taking taylor expansion of th in a1
0.439 * [backup-simplify]: Simplify th into th
0.439 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.439 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.439 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.439 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.439 * [taylor]: Taking taylor expansion of a2 in a1
0.439 * [backup-simplify]: Simplify a2 into a2
0.439 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.439 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.439 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.439 * [taylor]: Taking taylor expansion of a1 in a1
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.440 * [taylor]: Taking taylor expansion of 2.0 in a1
0.440 * [backup-simplify]: Simplify 2.0 into 2.0
0.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.440 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.440 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.441 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.441 * [backup-simplify]: Simplify (+ 0 1) into 1
0.441 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.441 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.442 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
0.442 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.442 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.442 * [taylor]: Taking taylor expansion of th in a2
0.442 * [backup-simplify]: Simplify th into th
0.442 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.442 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.442 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.442 * [taylor]: Taking taylor expansion of 2.0 in a2
0.442 * [backup-simplify]: Simplify 2.0 into 2.0
0.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.443 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.443 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.443 * [backup-simplify]: Simplify (- 0) into 0
0.443 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.443 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (+ 0) into 0
0.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.447 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.448 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.448 * [taylor]: Taking taylor expansion of 0 in a2
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.451 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
0.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.454 * [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)))
0.454 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.454 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.454 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.454 * [taylor]: Taking taylor expansion of th in a2
0.454 * [backup-simplify]: Simplify th into th
0.454 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.454 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.454 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.454 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.454 * [taylor]: Taking taylor expansion of 2.0 in a2
0.454 * [backup-simplify]: Simplify 2.0 into 2.0
0.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.456 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.456 * [taylor]: Taking taylor expansion of a2 in a2
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.456 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.456 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.457 * [backup-simplify]: Simplify (* 1 1) into 1
0.458 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.458 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.458 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.458 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.458 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.458 * [taylor]: Taking taylor expansion of th in th
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.459 * [taylor]: Taking taylor expansion of 2.0 in th
0.459 * [backup-simplify]: Simplify 2.0 into 2.0
0.459 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.461 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.461 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.462 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.462 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.462 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.462 * [taylor]: Taking taylor expansion of th in th
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (/ 1 1) into 1
0.462 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.462 * [taylor]: Taking taylor expansion of 2.0 in th
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.464 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.465 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.472 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.472 * [backup-simplify]: Simplify (- 0) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.477 * [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
0.477 * [taylor]: Taking taylor expansion of 0 in a2
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify (+ 0) into 0
0.477 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.483 * [backup-simplify]: Simplify (- 0) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.484 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.485 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.485 * [taylor]: Taking taylor expansion of 0 in th
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [taylor]: Taking taylor expansion of 0 in th
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (+ 0) into 0
0.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) 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 (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [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
0.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.501 * [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
0.501 * [taylor]: Taking taylor expansion of 0 in a2
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.503 * [backup-simplify]: Simplify (- 0) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.505 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.507 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in th
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.509 * [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)))
0.509 * [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))
0.509 * [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
0.510 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.510 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.510 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.510 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.510 * [taylor]: Taking taylor expansion of -1 in th
0.510 * [backup-simplify]: Simplify -1 into -1
0.510 * [taylor]: Taking taylor expansion of th in th
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (/ -1 1) into -1
0.510 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.510 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.510 * [taylor]: Taking taylor expansion of a2 in th
0.510 * [backup-simplify]: Simplify a2 into a2
0.511 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.511 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.511 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.511 * [taylor]: Taking taylor expansion of a1 in th
0.511 * [backup-simplify]: Simplify a1 into a1
0.511 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.511 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.511 * [taylor]: Taking taylor expansion of 2.0 in th
0.511 * [backup-simplify]: Simplify 2.0 into 2.0
0.512 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.513 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.513 * [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))))
0.514 * [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))
0.514 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.514 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.514 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.514 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.514 * [taylor]: Taking taylor expansion of -1 in a2
0.514 * [backup-simplify]: Simplify -1 into -1
0.514 * [taylor]: Taking taylor expansion of th in a2
0.514 * [backup-simplify]: Simplify th into th
0.514 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.514 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.514 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.514 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.514 * [taylor]: Taking taylor expansion of a2 in a2
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* 1 1) into 1
0.515 * [backup-simplify]: Simplify (/ 1 1) into 1
0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.515 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.515 * [taylor]: Taking taylor expansion of a1 in a2
0.515 * [backup-simplify]: Simplify a1 into a1
0.515 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.516 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.516 * [taylor]: Taking taylor expansion of 2.0 in a2
0.516 * [backup-simplify]: Simplify 2.0 into 2.0
0.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.517 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.517 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.517 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.518 * [backup-simplify]: Simplify (+ 1 0) into 1
0.518 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.519 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.519 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.519 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.519 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.519 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.519 * [taylor]: Taking taylor expansion of -1 in a1
0.519 * [backup-simplify]: Simplify -1 into -1
0.519 * [taylor]: Taking taylor expansion of th in a1
0.519 * [backup-simplify]: Simplify th into th
0.519 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.519 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.519 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.519 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.519 * [taylor]: Taking taylor expansion of a2 in a1
0.519 * [backup-simplify]: Simplify a2 into a2
0.519 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.520 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.520 * [taylor]: Taking taylor expansion of a1 in a1
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1 1) into 1
0.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.521 * [taylor]: Taking taylor expansion of 2.0 in a1
0.521 * [backup-simplify]: Simplify 2.0 into 2.0
0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.522 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.522 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.522 * [backup-simplify]: Simplify (- 0) into 0
0.522 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.523 * [backup-simplify]: Simplify (+ 0 1) into 1
0.523 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.523 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.523 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.523 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.523 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.524 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.524 * [taylor]: Taking taylor expansion of -1 in a1
0.524 * [backup-simplify]: Simplify -1 into -1
0.524 * [taylor]: Taking taylor expansion of th in a1
0.524 * [backup-simplify]: Simplify th into th
0.524 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.524 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.524 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.524 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.524 * [taylor]: Taking taylor expansion of a2 in a1
0.524 * [backup-simplify]: Simplify a2 into a2
0.524 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.524 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.524 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.524 * [taylor]: Taking taylor expansion of a1 in a1
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ 1 1) into 1
0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.525 * [taylor]: Taking taylor expansion of 2.0 in a1
0.525 * [backup-simplify]: Simplify 2.0 into 2.0
0.526 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.527 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.527 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.528 * [backup-simplify]: Simplify (+ 0 1) into 1
0.528 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.528 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.528 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
0.529 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.529 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.529 * [taylor]: Taking taylor expansion of -1 in a2
0.529 * [backup-simplify]: Simplify -1 into -1
0.529 * [taylor]: Taking taylor expansion of th in a2
0.529 * [backup-simplify]: Simplify th into th
0.529 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.529 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.529 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.529 * [taylor]: Taking taylor expansion of 2.0 in a2
0.529 * [backup-simplify]: Simplify 2.0 into 2.0
0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.530 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.530 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.531 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.534 * [backup-simplify]: Simplify (+ 0) into 0
0.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1 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 (/ -1 th)) 0) (* 0 1)) into 0
0.537 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.537 * [taylor]: Taking taylor expansion of 0 in a2
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.539 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.540 * [backup-simplify]: Simplify (- 0) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
0.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.543 * [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)))
0.543 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.543 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.543 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.543 * [taylor]: Taking taylor expansion of -1 in a2
0.543 * [backup-simplify]: Simplify -1 into -1
0.543 * [taylor]: Taking taylor expansion of th in a2
0.543 * [backup-simplify]: Simplify th into th
0.543 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.544 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.544 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.544 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.544 * [taylor]: Taking taylor expansion of 2.0 in a2
0.544 * [backup-simplify]: Simplify 2.0 into 2.0
0.544 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.544 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.544 * [taylor]: Taking taylor expansion of a2 in a2
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.545 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.545 * [backup-simplify]: Simplify (- 0) into 0
0.545 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.546 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.546 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.546 * [taylor]: Taking taylor expansion of -1 in th
0.546 * [backup-simplify]: Simplify -1 into -1
0.546 * [taylor]: Taking taylor expansion of th in th
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (/ -1 1) into -1
0.547 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.547 * [taylor]: Taking taylor expansion of 2.0 in th
0.547 * [backup-simplify]: Simplify 2.0 into 2.0
0.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.548 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.548 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.548 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.548 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.548 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.548 * [taylor]: Taking taylor expansion of -1 in th
0.548 * [backup-simplify]: Simplify -1 into -1
0.548 * [taylor]: Taking taylor expansion of th in th
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 (cos (/ -1 th)) into (cos (/ -1 th))
0.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.549 * [taylor]: Taking taylor expansion of 2.0 in th
0.549 * [backup-simplify]: Simplify 2.0 into 2.0
0.549 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.550 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.550 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.550 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.554 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.555 * [backup-simplify]: Simplify (- 0) into 0
0.555 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.558 * [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
0.559 * [taylor]: Taking taylor expansion of 0 in a2
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify (+ 0) into 0
0.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify (+ 0 0) into 0
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.563 * [taylor]: Taking taylor expansion of 0 in th
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [taylor]: Taking taylor expansion of 0 in th
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (+ 0) into 0
0.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.566 * [backup-simplify]: Simplify (- 0) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.567 * [taylor]: Taking taylor expansion of 0 in th
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.569 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.575 * [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
0.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.577 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.578 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.579 * [backup-simplify]: Simplify (- 0) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.587 * [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
0.587 * [taylor]: Taking taylor expansion of 0 in a2
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.591 * [backup-simplify]: Simplify (- 0) into 0
0.592 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.595 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.597 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.597 * [taylor]: Taking taylor expansion of 0 in th
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 0 into 0
0.599 * [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)))
0.599 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.604 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
0.604 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
0.604 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.604 * [taylor]: Taking taylor expansion of 2.0 in th
0.605 * [backup-simplify]: Simplify 2.0 into 2.0
0.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.606 * [taylor]: Taking taylor expansion of (cos th) in th
0.606 * [taylor]: Taking taylor expansion of th in th
0.606 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify 1 into 1
0.607 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.607 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.607 * [taylor]: Taking taylor expansion of 2.0 in th
0.607 * [backup-simplify]: Simplify 2.0 into 2.0
0.608 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.608 * [taylor]: Taking taylor expansion of (cos th) in th
0.608 * [taylor]: Taking taylor expansion of th in th
0.608 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 1 into 1
0.609 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.610 * [backup-simplify]: Simplify (+ 0) into 0
0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
0.620 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
0.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.622 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
0.624 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.629 * [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
0.638 * [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))
0.639 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
0.642 * [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)))))
0.643 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.643 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
0.643 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.643 * [taylor]: Taking taylor expansion of 2.0 in th
0.643 * [backup-simplify]: Simplify 2.0 into 2.0
0.643 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.644 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.644 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.644 * [taylor]: Taking taylor expansion of th in th
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 1 into 1
0.644 * [backup-simplify]: Simplify (/ 1 1) into 1
0.645 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.645 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.645 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.645 * [taylor]: Taking taylor expansion of 2.0 in th
0.645 * [backup-simplify]: Simplify 2.0 into 2.0
0.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.647 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.647 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.647 * [taylor]: Taking taylor expansion of th in th
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [backup-simplify]: Simplify (/ 1 1) into 1
0.647 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.648 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.648 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.649 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
0.649 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.651 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.653 * [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
0.654 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.656 * [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
0.656 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.659 * [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
0.659 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.661 * [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
0.661 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
0.662 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.662 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
0.662 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.662 * [taylor]: Taking taylor expansion of 2.0 in th
0.662 * [backup-simplify]: Simplify 2.0 into 2.0
0.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.664 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.664 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.664 * [taylor]: Taking taylor expansion of -1 in th
0.664 * [backup-simplify]: Simplify -1 into -1
0.664 * [taylor]: Taking taylor expansion of th in th
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (/ -1 1) into -1
0.664 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.665 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.665 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.665 * [taylor]: Taking taylor expansion of 2.0 in th
0.665 * [backup-simplify]: Simplify 2.0 into 2.0
0.665 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.666 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.666 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.666 * [taylor]: Taking taylor expansion of -1 in th
0.666 * [backup-simplify]: Simplify -1 into -1
0.666 * [taylor]: Taking taylor expansion of th in th
0.666 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify 1 into 1
0.667 * [backup-simplify]: Simplify (/ -1 1) into -1
0.667 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.667 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.668 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.668 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
0.668 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.670 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.673 * [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
0.673 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.675 * [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
0.675 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.678 * [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
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.681 * [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
0.681 * [backup-simplify]: Simplify 0 into 0
0.681 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
0.681 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.681 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
0.681 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
0.682 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.682 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.682 * [taylor]: Taking taylor expansion of a2 in a2
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.682 * [taylor]: Taking taylor expansion of a1 in a2
0.682 * [backup-simplify]: Simplify a1 into a1
0.682 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.682 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.682 * [taylor]: Taking taylor expansion of a2 in a1
0.682 * [backup-simplify]: Simplify a2 into a2
0.682 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.682 * [taylor]: Taking taylor expansion of a1 in a1
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.682 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.682 * [taylor]: Taking taylor expansion of a2 in a1
0.682 * [backup-simplify]: Simplify a2 into a2
0.682 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.682 * [taylor]: Taking taylor expansion of a1 in a1
0.682 * [backup-simplify]: Simplify 0 into 0
0.682 * [backup-simplify]: Simplify 1 into 1
0.682 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.682 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.682 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.682 * [taylor]: Taking taylor expansion of a2 in a2
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 1 into 1
0.683 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.683 * [backup-simplify]: Simplify (+ 0 0) into 0
0.683 * [taylor]: Taking taylor expansion of 0 in a2
0.683 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.684 * [backup-simplify]: Simplify (* 1 1) into 1
0.684 * [backup-simplify]: Simplify (+ 0 1) into 1
0.684 * [taylor]: Taking taylor expansion of 1 in a2
0.684 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify 1 into 1
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify (* 1 1) into 1
0.685 * [backup-simplify]: Simplify 1 into 1
0.686 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.687 * [backup-simplify]: Simplify (+ 0 0) into 0
0.687 * [taylor]: Taking taylor expansion of 0 in a2
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.688 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.690 * [backup-simplify]: Simplify (+ 0 0) into 0
0.690 * [taylor]: Taking taylor expansion of 0 in a2
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
0.691 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.691 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.691 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.691 * [taylor]: Taking taylor expansion of a2 in a2
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify 1 into 1
0.692 * [backup-simplify]: Simplify (* 1 1) into 1
0.692 * [backup-simplify]: Simplify (/ 1 1) into 1
0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.692 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.692 * [taylor]: Taking taylor expansion of a1 in a2
0.692 * [backup-simplify]: Simplify a1 into a1
0.692 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.692 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.692 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.692 * [taylor]: Taking taylor expansion of a2 in a1
0.692 * [backup-simplify]: Simplify a2 into a2
0.692 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.693 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.693 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.693 * [taylor]: Taking taylor expansion of a1 in a1
0.693 * [backup-simplify]: Simplify 0 into 0
0.693 * [backup-simplify]: Simplify 1 into 1
0.693 * [backup-simplify]: Simplify (* 1 1) into 1
0.693 * [backup-simplify]: Simplify (/ 1 1) into 1
0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.694 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.694 * [taylor]: Taking taylor expansion of a2 in a1
0.694 * [backup-simplify]: Simplify a2 into a2
0.694 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.694 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.694 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.694 * [taylor]: Taking taylor expansion of a1 in a1
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 1 into 1
0.694 * [backup-simplify]: Simplify (* 1 1) into 1
0.695 * [backup-simplify]: Simplify (/ 1 1) into 1
0.695 * [backup-simplify]: Simplify (+ 0 1) into 1
0.695 * [taylor]: Taking taylor expansion of 1 in a2
0.696 * [backup-simplify]: Simplify 1 into 1
0.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.697 * [backup-simplify]: Simplify (+ 0 0) into 0
0.697 * [taylor]: Taking taylor expansion of 0 in a2
0.697 * [backup-simplify]: Simplify 0 into 0
0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.699 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.699 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.700 * [taylor]: Taking taylor expansion of a2 in a2
0.700 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify (* 1 1) into 1
0.700 * [backup-simplify]: Simplify (/ 1 1) into 1
0.700 * [backup-simplify]: Simplify 1 into 1
0.700 * [backup-simplify]: Simplify 1 into 1
0.701 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.703 * [backup-simplify]: Simplify (+ 0 0) into 0
0.703 * [taylor]: Taking taylor expansion of 0 in a2
0.703 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.708 * [backup-simplify]: Simplify (+ 0 0) into 0
0.708 * [taylor]: Taking taylor expansion of 0 in a2
0.708 * [backup-simplify]: Simplify 0 into 0
0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.710 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.711 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.711 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.711 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.711 * [taylor]: Taking taylor expansion of a2 in a2
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (/ 1 1) into 1
0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.712 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.712 * [taylor]: Taking taylor expansion of a1 in a2
0.712 * [backup-simplify]: Simplify a1 into a1
0.712 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.712 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.712 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.712 * [taylor]: Taking taylor expansion of a2 in a1
0.712 * [backup-simplify]: Simplify a2 into a2
0.713 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.713 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.713 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.713 * [taylor]: Taking taylor expansion of a1 in a1
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 1 into 1
0.713 * [backup-simplify]: Simplify (* 1 1) into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.714 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.714 * [taylor]: Taking taylor expansion of a2 in a1
0.714 * [backup-simplify]: Simplify a2 into a2
0.714 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.714 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.714 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.714 * [taylor]: Taking taylor expansion of a1 in a1
0.714 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify 1 into 1
0.714 * [backup-simplify]: Simplify (* 1 1) into 1
0.715 * [backup-simplify]: Simplify (/ 1 1) into 1
0.715 * [backup-simplify]: Simplify (+ 0 1) into 1
0.715 * [taylor]: Taking taylor expansion of 1 in a2
0.715 * [backup-simplify]: Simplify 1 into 1
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ 0 0) into 0
0.717 * [taylor]: Taking taylor expansion of 0 in a2
0.717 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.719 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.719 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.719 * [taylor]: Taking taylor expansion of a2 in a2
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify (* 1 1) into 1
0.720 * [backup-simplify]: Simplify (/ 1 1) into 1
0.720 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify 1 into 1
0.720 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.723 * [backup-simplify]: Simplify (+ 0 0) into 0
0.723 * [taylor]: Taking taylor expansion of 0 in a2
0.723 * [backup-simplify]: Simplify 0 into 0
0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.728 * [backup-simplify]: Simplify (+ 0 0) into 0
0.728 * [taylor]: Taking taylor expansion of 0 in a2
0.728 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.731 * * * [progress]: simplifying candidates
0.736 * [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))
0.743 * * [simplify]: iteration 0: 250 enodes
0.823 * * [simplify]: iteration 1: 680 enodes
1.289 * * [simplify]: iteration 2: 4529 enodes
2.225 * * [simplify]: iteration complete: 5000 enodes
2.225 * * [simplify]: Extracting #0: cost 163 inf + 0
2.236 * * [simplify]: Extracting #1: cost 1177 inf + 1
2.242 * * [simplify]: Extracting #2: cost 1792 inf + 543
2.251 * * [simplify]: Extracting #3: cost 1681 inf + 30777
2.267 * * [simplify]: Extracting #4: cost 1211 inf + 102048
2.347 * * [simplify]: Extracting #5: cost 484 inf + 304479
2.452 * * [simplify]: Extracting #6: cost 54 inf + 459925
2.547 * * [simplify]: Extracting #7: cost 0 inf + 481358
2.697 * * [simplify]: Extracting #8: cost 0 inf + 481237
2.800 * [simplify]: Simplified to:
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (exp (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))) (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (- (- (* a1 a1)) (* a2 a2))
  (/ (- (sqrt 2.0)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (cbrt (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt 2.0)))
  (* (cos th) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ 1 (cbrt (sqrt 2.0))) (/ 1 (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ 1 (cbrt (sqrt 2.0))) (/ 1 (cbrt (sqrt 2.0))))
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ 1 (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (* (+ (* a1 a1) (* a2 a2)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (cos th)) (* (+ a1 a2) (- a1 a2)))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt 2.0) 2.0) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt 2.0) 2.0) (* (* (cos th) (cos th)) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (exp (+ (* a1 a1) (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (* (+ a1 a2) (- a1 a2))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (sqrt 2.0) (+ (* (* 5/24 (sqrt 2.0)) (* (* th th) (* th th))) (* (* 1/2 (* th th)) (sqrt 2.0))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
2.814 * * * [progress]: adding candidates to table
3.847 * * [progress]: iteration 2 / 4
3.847 * * * [progress]: picking best candidate
3.904 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>
3.904 * * * [progress]: localizing error
3.948 * * * [progress]: generating rewritten candidates
3.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
3.980 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
4.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
4.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
4.228 * * * [progress]: generating series expansions
4.228 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.229 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)))
4.229 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
4.229 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a2
4.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.229 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.229 * [taylor]: Taking taylor expansion of 2.0 in a2
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 (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.231 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.233 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.233 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.233 * [taylor]: Taking taylor expansion of a2 in a2
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 1 into 1
4.233 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.233 * [taylor]: Taking taylor expansion of a1 in a2
4.233 * [backup-simplify]: Simplify a1 into a1
4.233 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a1
4.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
4.233 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
4.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.233 * [taylor]: Taking taylor expansion of 2.0 in a1
4.233 * [backup-simplify]: Simplify 2.0 into 2.0
4.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.234 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.235 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.236 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.236 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.236 * [taylor]: Taking taylor expansion of a2 in a1
4.236 * [backup-simplify]: Simplify a2 into a2
4.236 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.236 * [taylor]: Taking taylor expansion of a1 in a1
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a1
4.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
4.237 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
4.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.237 * [taylor]: Taking taylor expansion of 2.0 in a1
4.237 * [backup-simplify]: Simplify 2.0 into 2.0
4.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.238 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.239 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.240 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.240 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.240 * [taylor]: Taking taylor expansion of a2 in a1
4.240 * [backup-simplify]: Simplify a2 into a2
4.240 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.240 * [taylor]: Taking taylor expansion of a1 in a1
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 1 into 1
4.240 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.240 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.241 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) into (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2))
4.241 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) in a2
4.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.241 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.241 * [taylor]: Taking taylor expansion of 2.0 in a2
4.241 * [backup-simplify]: Simplify 2.0 into 2.0
4.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.243 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.244 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.245 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.245 * [taylor]: Taking taylor expansion of a2 in a2
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.245 * [backup-simplify]: Simplify (+ 0 0) into 0
4.246 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (pow a2 2))) into 0
4.246 * [taylor]: Taking taylor expansion of 0 in a2
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.246 * [backup-simplify]: Simplify (* 1 1) into 1
4.247 * [backup-simplify]: Simplify (+ 0 1) into 1
4.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.251 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1) (+ (* 0 0) (* 0 (pow a2 2)))) into (sqrt (/ 1 (sqrt 2.0)))
4.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.251 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.251 * [taylor]: Taking taylor expansion of 2.0 in a2
4.251 * [backup-simplify]: Simplify 2.0 into 2.0
4.251 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.252 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.253 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.255 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify (* 1 1) into 1
4.257 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
4.258 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.258 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.259 * [backup-simplify]: Simplify (+ 0 0) into 0
4.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.262 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
4.262 * [taylor]: Taking taylor expansion of 0 in a2
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 0 into 0
4.262 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.264 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
4.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.267 * [backup-simplify]: Simplify (+ 0 0) into 0
4.268 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.274 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
4.274 * [taylor]: Taking taylor expansion of 0 in a2
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* a2 1) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 a1) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
4.279 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.279 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
4.279 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.279 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.279 * [taylor]: Taking taylor expansion of 2.0 in a2
4.279 * [backup-simplify]: Simplify 2.0 into 2.0
4.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.281 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.283 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.285 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.285 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.285 * [taylor]: Taking taylor expansion of a2 in a2
4.285 * [backup-simplify]: Simplify 0 into 0
4.285 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (* 1 1) into 1
4.286 * [backup-simplify]: Simplify (/ 1 1) into 1
4.286 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.286 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.286 * [taylor]: Taking taylor expansion of a1 in a2
4.286 * [backup-simplify]: Simplify a1 into a1
4.286 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.286 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.286 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
4.287 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
4.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.287 * [taylor]: Taking taylor expansion of 2.0 in a1
4.287 * [backup-simplify]: Simplify 2.0 into 2.0
4.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.289 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.290 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.292 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.292 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.292 * [taylor]: Taking taylor expansion of a2 in a1
4.292 * [backup-simplify]: Simplify a2 into a2
4.292 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.293 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.293 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.293 * [taylor]: Taking taylor expansion of a1 in a1
4.293 * [backup-simplify]: Simplify 0 into 0
4.293 * [backup-simplify]: Simplify 1 into 1
4.293 * [backup-simplify]: Simplify (* 1 1) into 1
4.293 * [backup-simplify]: Simplify (/ 1 1) into 1
4.293 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
4.294 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
4.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.294 * [taylor]: Taking taylor expansion of 2.0 in a1
4.294 * [backup-simplify]: Simplify 2.0 into 2.0
4.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.295 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.297 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.299 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.299 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.299 * [taylor]: Taking taylor expansion of a2 in a1
4.299 * [backup-simplify]: Simplify a2 into a2
4.299 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.299 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.299 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.299 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.299 * [taylor]: Taking taylor expansion of a1 in a1
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 1 into 1
4.300 * [backup-simplify]: Simplify (* 1 1) into 1
4.300 * [backup-simplify]: Simplify (/ 1 1) into 1
4.301 * [backup-simplify]: Simplify (+ 0 1) into 1
4.303 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
4.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.303 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.303 * [taylor]: Taking taylor expansion of 2.0 in a2
4.303 * [backup-simplify]: Simplify 2.0 into 2.0
4.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.305 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.307 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.311 * [backup-simplify]: Simplify (+ 0 0) into 0
4.312 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
4.312 * [taylor]: Taking taylor expansion of 0 in a2
4.312 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.314 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.328 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))
4.328 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) in a2
4.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.328 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.328 * [taylor]: Taking taylor expansion of 2.0 in a2
4.328 * [backup-simplify]: Simplify 2.0 into 2.0
4.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.330 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.331 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.334 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.334 * [taylor]: Taking taylor expansion of a2 in a2
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (* 1 1) into 1
4.335 * [backup-simplify]: Simplify (/ 1 1) into 1
4.337 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
4.339 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.341 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.341 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.344 * [backup-simplify]: Simplify (+ 0 0) into 0
4.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.350 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.350 * [taylor]: Taking taylor expansion of 0 in a2
4.350 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.353 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.357 * [backup-simplify]: Simplify (+ 0 0) into 0
4.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.364 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.364 * [taylor]: Taking taylor expansion of 0 in a2
4.364 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.371 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0
4.371 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.375 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
4.380 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.380 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
4.380 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.380 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.381 * [taylor]: Taking taylor expansion of 2.0 in a2
4.381 * [backup-simplify]: Simplify 2.0 into 2.0
4.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.383 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.384 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.387 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.387 * [taylor]: Taking taylor expansion of a2 in a2
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify 1 into 1
4.387 * [backup-simplify]: Simplify (* 1 1) into 1
4.388 * [backup-simplify]: Simplify (/ 1 1) into 1
4.388 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.388 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.388 * [taylor]: Taking taylor expansion of a1 in a2
4.388 * [backup-simplify]: Simplify a1 into a1
4.388 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.388 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.388 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
4.388 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
4.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.388 * [taylor]: Taking taylor expansion of 2.0 in a1
4.388 * [backup-simplify]: Simplify 2.0 into 2.0
4.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.390 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.392 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.394 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.394 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.394 * [taylor]: Taking taylor expansion of a2 in a1
4.394 * [backup-simplify]: Simplify a2 into a2
4.395 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.395 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.395 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.395 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.395 * [taylor]: Taking taylor expansion of a1 in a1
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 1 into 1
4.395 * [backup-simplify]: Simplify (* 1 1) into 1
4.396 * [backup-simplify]: Simplify (/ 1 1) into 1
4.396 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
4.396 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
4.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.396 * [taylor]: Taking taylor expansion of 2.0 in a1
4.396 * [backup-simplify]: Simplify 2.0 into 2.0
4.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.398 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.400 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.402 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.402 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.402 * [taylor]: Taking taylor expansion of a2 in a1
4.402 * [backup-simplify]: Simplify a2 into a2
4.402 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.403 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.403 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.403 * [taylor]: Taking taylor expansion of a1 in a1
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 1 into 1
4.403 * [backup-simplify]: Simplify (* 1 1) into 1
4.404 * [backup-simplify]: Simplify (/ 1 1) into 1
4.404 * [backup-simplify]: Simplify (+ 0 1) into 1
4.406 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
4.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.406 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.406 * [taylor]: Taking taylor expansion of 2.0 in a2
4.406 * [backup-simplify]: Simplify 2.0 into 2.0
4.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.408 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.410 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.414 * [backup-simplify]: Simplify (+ 0 0) into 0
4.415 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
4.415 * [taylor]: Taking taylor expansion of 0 in a2
4.415 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.417 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.424 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))
4.424 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) in a2
4.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
4.424 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.424 * [taylor]: Taking taylor expansion of 2.0 in a2
4.424 * [backup-simplify]: Simplify 2.0 into 2.0
4.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.426 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.427 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.430 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.430 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.430 * [taylor]: Taking taylor expansion of a2 in a2
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (* 1 1) into 1
4.431 * [backup-simplify]: Simplify (/ 1 1) into 1
4.433 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
4.434 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.436 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.436 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.439 * [backup-simplify]: Simplify (+ 0 0) into 0
4.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.445 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.445 * [taylor]: Taking taylor expansion of 0 in a2
4.445 * [backup-simplify]: Simplify 0 into 0
4.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.448 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
4.448 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify 0 into 0
4.448 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.452 * [backup-simplify]: Simplify (+ 0 0) into 0
4.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.459 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.459 * [taylor]: Taking taylor expansion of 0 in a2
4.459 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.467 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.471 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
4.482 * * * * [progress]: [ 2 / 4 ] generating series at (2)
4.484 * [backup-simplify]: Simplify (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
4.484 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
4.484 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
4.484 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.484 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.484 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.484 * [taylor]: Taking taylor expansion of a2 in th
4.484 * [backup-simplify]: Simplify a2 into a2
4.484 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.484 * [taylor]: Taking taylor expansion of a1 in th
4.484 * [backup-simplify]: Simplify a1 into a1
4.484 * [taylor]: Taking taylor expansion of (cos th) in th
4.484 * [taylor]: Taking taylor expansion of th in th
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 1 into 1
4.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.484 * [taylor]: Taking taylor expansion of 2.0 in th
4.484 * [backup-simplify]: Simplify 2.0 into 2.0
4.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.485 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.485 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.486 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.486 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.487 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
4.487 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
4.487 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.487 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.487 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.487 * [taylor]: Taking taylor expansion of a2 in a2
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.487 * [taylor]: Taking taylor expansion of a1 in a2
4.487 * [backup-simplify]: Simplify a1 into a1
4.487 * [taylor]: Taking taylor expansion of (cos th) in a2
4.487 * [taylor]: Taking taylor expansion of th in a2
4.487 * [backup-simplify]: Simplify th into th
4.487 * [backup-simplify]: Simplify (cos th) into (cos th)
4.487 * [backup-simplify]: Simplify (sin th) into (sin th)
4.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.487 * [taylor]: Taking taylor expansion of 2.0 in a2
4.487 * [backup-simplify]: Simplify 2.0 into 2.0
4.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.488 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.489 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.489 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.489 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.489 * [backup-simplify]: Simplify (- 0) into 0
4.489 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.490 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.490 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.490 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.490 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.490 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.490 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.490 * [taylor]: Taking taylor expansion of a2 in a1
4.490 * [backup-simplify]: Simplify a2 into a2
4.490 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.490 * [taylor]: Taking taylor expansion of a1 in a1
4.490 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [taylor]: Taking taylor expansion of (cos th) in a1
4.491 * [taylor]: Taking taylor expansion of th in a1
4.491 * [backup-simplify]: Simplify th into th
4.491 * [backup-simplify]: Simplify (cos th) into (cos th)
4.491 * [backup-simplify]: Simplify (sin th) into (sin th)
4.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.491 * [taylor]: Taking taylor expansion of 2.0 in a1
4.491 * [backup-simplify]: Simplify 2.0 into 2.0
4.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.492 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.492 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.493 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.493 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.493 * [backup-simplify]: Simplify (- 0) into 0
4.493 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.493 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.494 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.494 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.494 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.494 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.494 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.494 * [taylor]: Taking taylor expansion of a2 in a1
4.494 * [backup-simplify]: Simplify a2 into a2
4.494 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.494 * [taylor]: Taking taylor expansion of a1 in a1
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.494 * [taylor]: Taking taylor expansion of (cos th) in a1
4.494 * [taylor]: Taking taylor expansion of th in a1
4.494 * [backup-simplify]: Simplify th into th
4.494 * [backup-simplify]: Simplify (cos th) into (cos th)
4.494 * [backup-simplify]: Simplify (sin th) into (sin th)
4.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.494 * [taylor]: Taking taylor expansion of 2.0 in a1
4.495 * [backup-simplify]: Simplify 2.0 into 2.0
4.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.496 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.496 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.496 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.496 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.496 * [backup-simplify]: Simplify (- 0) into 0
4.497 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.497 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.497 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.497 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
4.497 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
4.497 * [taylor]: Taking taylor expansion of (cos th) in a2
4.498 * [taylor]: Taking taylor expansion of th in a2
4.498 * [backup-simplify]: Simplify th into th
4.498 * [backup-simplify]: Simplify (cos th) into (cos th)
4.498 * [backup-simplify]: Simplify (sin th) into (sin th)
4.498 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.498 * [taylor]: Taking taylor expansion of a2 in a2
4.498 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify 1 into 1
4.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.498 * [taylor]: Taking taylor expansion of 2.0 in a2
4.498 * [backup-simplify]: Simplify 2.0 into 2.0
4.498 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.499 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.499 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.500 * [backup-simplify]: Simplify (- 0) into 0
4.500 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.500 * [backup-simplify]: Simplify (* 1 1) into 1
4.500 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.501 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.501 * [backup-simplify]: Simplify (+ 0) into 0
4.501 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.503 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.503 * [backup-simplify]: Simplify (- 0) into 0
4.503 * [backup-simplify]: Simplify (+ 0 0) into 0
4.504 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.504 * [backup-simplify]: Simplify (+ 0 0) into 0
4.504 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
4.506 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.506 * [taylor]: Taking taylor expansion of 0 in a2
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [taylor]: Taking taylor expansion of 0 in th
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [backup-simplify]: Simplify 0 into 0
4.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.508 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
4.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.509 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
4.510 * [backup-simplify]: Simplify (- 0) into 0
4.510 * [backup-simplify]: Simplify (+ 0 0) into 0
4.511 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.511 * [backup-simplify]: Simplify (* 1 1) into 1
4.511 * [backup-simplify]: Simplify (+ 0 1) into 1
4.512 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
4.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.515 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
4.515 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
4.515 * [taylor]: Taking taylor expansion of (cos th) in a2
4.515 * [taylor]: Taking taylor expansion of th in a2
4.515 * [backup-simplify]: Simplify th into th
4.516 * [backup-simplify]: Simplify (cos th) into (cos th)
4.516 * [backup-simplify]: Simplify (sin th) into (sin th)
4.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.516 * [taylor]: Taking taylor expansion of 2.0 in a2
4.516 * [backup-simplify]: Simplify 2.0 into 2.0
4.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.517 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.517 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.517 * [backup-simplify]: Simplify (- 0) into 0
4.517 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.518 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.518 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.518 * [taylor]: Taking taylor expansion of (cos th) in th
4.518 * [taylor]: Taking taylor expansion of th in th
4.518 * [backup-simplify]: Simplify 0 into 0
4.518 * [backup-simplify]: Simplify 1 into 1
4.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.518 * [taylor]: Taking taylor expansion of 2.0 in th
4.518 * [backup-simplify]: Simplify 2.0 into 2.0
4.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.520 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.521 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.521 * [taylor]: Taking taylor expansion of 0 in th
4.521 * [backup-simplify]: Simplify 0 into 0
4.521 * [backup-simplify]: Simplify 0 into 0
4.521 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.521 * [taylor]: Taking taylor expansion of (cos th) in th
4.521 * [taylor]: Taking taylor expansion of th in th
4.521 * [backup-simplify]: Simplify 0 into 0
4.521 * [backup-simplify]: Simplify 1 into 1
4.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.521 * [taylor]: Taking taylor expansion of 2.0 in th
4.521 * [backup-simplify]: Simplify 2.0 into 2.0
4.522 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.523 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.524 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.524 * [backup-simplify]: Simplify 0 into 0
4.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.526 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.528 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.528 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.529 * [backup-simplify]: Simplify (- 0) into 0
4.529 * [backup-simplify]: Simplify (+ 0 0) into 0
4.530 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.531 * [backup-simplify]: Simplify (+ 0 0) into 0
4.532 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
4.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.536 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.537 * [taylor]: Taking taylor expansion of 0 in a2
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [taylor]: Taking taylor expansion of 0 in th
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify (+ 0) into 0
4.538 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.539 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.539 * [backup-simplify]: Simplify (- 0) into 0
4.540 * [backup-simplify]: Simplify (+ 0 0) into 0
4.541 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.541 * [taylor]: Taking taylor expansion of 0 in th
4.541 * [backup-simplify]: Simplify 0 into 0
4.541 * [backup-simplify]: Simplify 0 into 0
4.541 * [taylor]: Taking taylor expansion of 0 in th
4.541 * [backup-simplify]: Simplify 0 into 0
4.541 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.542 * [backup-simplify]: Simplify (+ 0) into 0
4.543 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.544 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.544 * [backup-simplify]: Simplify (- 0) into 0
4.545 * [backup-simplify]: Simplify (+ 0 0) into 0
4.545 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.547 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.547 * [taylor]: Taking taylor expansion of 0 in th
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify (+ 0) into 0
4.549 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.549 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
4.553 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 th)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.553 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
4.553 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.553 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.553 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.553 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.553 * [taylor]: Taking taylor expansion of th in th
4.553 * [backup-simplify]: Simplify 0 into 0
4.553 * [backup-simplify]: Simplify 1 into 1
4.554 * [backup-simplify]: Simplify (/ 1 1) into 1
4.554 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.554 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.554 * [taylor]: Taking taylor expansion of a2 in th
4.554 * [backup-simplify]: Simplify a2 into a2
4.554 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.554 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.554 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.554 * [taylor]: Taking taylor expansion of a1 in th
4.554 * [backup-simplify]: Simplify a1 into a1
4.555 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.555 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.555 * [taylor]: Taking taylor expansion of 2.0 in th
4.555 * [backup-simplify]: Simplify 2.0 into 2.0
4.555 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.556 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.557 * [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))))
4.557 * [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))
4.557 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.557 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.558 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.558 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.558 * [taylor]: Taking taylor expansion of th in a2
4.558 * [backup-simplify]: Simplify th into th
4.558 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.558 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.558 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.558 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.558 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.558 * [taylor]: Taking taylor expansion of a2 in a2
4.558 * [backup-simplify]: Simplify 0 into 0
4.558 * [backup-simplify]: Simplify 1 into 1
4.558 * [backup-simplify]: Simplify (* 1 1) into 1
4.559 * [backup-simplify]: Simplify (/ 1 1) into 1
4.559 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.559 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.559 * [taylor]: Taking taylor expansion of a1 in a2
4.559 * [backup-simplify]: Simplify a1 into a1
4.559 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.559 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.559 * [taylor]: Taking taylor expansion of 2.0 in a2
4.559 * [backup-simplify]: Simplify 2.0 into 2.0
4.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.560 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.561 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.561 * [backup-simplify]: Simplify (- 0) into 0
4.561 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.561 * [backup-simplify]: Simplify (+ 1 0) into 1
4.562 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.562 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.562 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.562 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.562 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.562 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.562 * [taylor]: Taking taylor expansion of th in a1
4.562 * [backup-simplify]: Simplify th into th
4.562 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.562 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.562 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.563 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.563 * [taylor]: Taking taylor expansion of a2 in a1
4.563 * [backup-simplify]: Simplify a2 into a2
4.563 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.563 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.563 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.563 * [taylor]: Taking taylor expansion of a1 in a1
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 1 into 1
4.563 * [backup-simplify]: Simplify (* 1 1) into 1
4.564 * [backup-simplify]: Simplify (/ 1 1) into 1
4.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.564 * [taylor]: Taking taylor expansion of 2.0 in a1
4.564 * [backup-simplify]: Simplify 2.0 into 2.0
4.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.565 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.565 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.566 * [backup-simplify]: Simplify (- 0) into 0
4.566 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.566 * [backup-simplify]: Simplify (+ 0 1) into 1
4.566 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.567 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.567 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.567 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.567 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.567 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.567 * [taylor]: Taking taylor expansion of th in a1
4.567 * [backup-simplify]: Simplify th into th
4.567 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.567 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.567 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.567 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.567 * [taylor]: Taking taylor expansion of a2 in a1
4.567 * [backup-simplify]: Simplify a2 into a2
4.567 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.567 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.568 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.568 * [taylor]: Taking taylor expansion of a1 in a1
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 1 into 1
4.568 * [backup-simplify]: Simplify (* 1 1) into 1
4.569 * [backup-simplify]: Simplify (/ 1 1) into 1
4.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.569 * [taylor]: Taking taylor expansion of 2.0 in a1
4.569 * [backup-simplify]: Simplify 2.0 into 2.0
4.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.570 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.570 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.570 * [backup-simplify]: Simplify (- 0) into 0
4.571 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.571 * [backup-simplify]: Simplify (+ 0 1) into 1
4.571 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.572 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.572 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
4.572 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.572 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.572 * [taylor]: Taking taylor expansion of th in a2
4.572 * [backup-simplify]: Simplify th into th
4.572 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.572 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.572 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.572 * [taylor]: Taking taylor expansion of 2.0 in a2
4.572 * [backup-simplify]: Simplify 2.0 into 2.0
4.573 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.573 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.573 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.574 * [backup-simplify]: Simplify (- 0) into 0
4.574 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.574 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.576 * [backup-simplify]: Simplify (+ 0 0) into 0
4.577 * [backup-simplify]: Simplify (+ 0) into 0
4.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.579 * [backup-simplify]: Simplify (- 0) into 0
4.579 * [backup-simplify]: Simplify (+ 0 0) into 0
4.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.581 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.581 * [taylor]: Taking taylor expansion of 0 in a2
4.581 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.583 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.584 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.586 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.587 * [backup-simplify]: Simplify (- 0) into 0
4.587 * [backup-simplify]: Simplify (+ 0 0) into 0
4.588 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
4.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.592 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
4.592 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.592 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.592 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.592 * [taylor]: Taking taylor expansion of th in a2
4.592 * [backup-simplify]: Simplify th into th
4.592 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.592 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.592 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.592 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.592 * [taylor]: Taking taylor expansion of 2.0 in a2
4.592 * [backup-simplify]: Simplify 2.0 into 2.0
4.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.593 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.593 * [taylor]: Taking taylor expansion of a2 in a2
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 1 into 1
4.593 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.594 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.594 * [backup-simplify]: Simplify (- 0) into 0
4.594 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.594 * [backup-simplify]: Simplify (* 1 1) into 1
4.595 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.596 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.596 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.596 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.596 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.596 * [taylor]: Taking taylor expansion of th in th
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 1 into 1
4.596 * [backup-simplify]: Simplify (/ 1 1) into 1
4.596 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.596 * [taylor]: Taking taylor expansion of 2.0 in th
4.597 * [backup-simplify]: Simplify 2.0 into 2.0
4.597 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.598 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.599 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.599 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.599 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.599 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.599 * [taylor]: Taking taylor expansion of th in th
4.599 * [backup-simplify]: Simplify 0 into 0
4.599 * [backup-simplify]: Simplify 1 into 1
4.599 * [backup-simplify]: Simplify (/ 1 1) into 1
4.599 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.599 * [taylor]: Taking taylor expansion of 2.0 in th
4.599 * [backup-simplify]: Simplify 2.0 into 2.0
4.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.601 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.601 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.602 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ 0 0) into 0
4.604 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.606 * [backup-simplify]: Simplify (- 0) into 0
4.607 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.610 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.610 * [taylor]: Taking taylor expansion of 0 in a2
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify (+ 0) into 0
4.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.611 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.612 * [backup-simplify]: Simplify (- 0) into 0
4.612 * [backup-simplify]: Simplify (+ 0 0) into 0
4.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.613 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.614 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.614 * [taylor]: Taking taylor expansion of 0 in th
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [taylor]: Taking taylor expansion of 0 in th
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify 0 into 0
4.614 * [backup-simplify]: Simplify (+ 0) into 0
4.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.615 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.615 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.615 * [backup-simplify]: Simplify (- 0) into 0
4.616 * [backup-simplify]: Simplify (+ 0 0) into 0
4.617 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.617 * [taylor]: Taking taylor expansion of 0 in th
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.618 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.619 * [backup-simplify]: Simplify 0 into 0
4.619 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.625 * [backup-simplify]: Simplify (+ 0 0) into 0
4.626 * [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
4.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.628 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.628 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.628 * [backup-simplify]: Simplify (- 0) into 0
4.629 * [backup-simplify]: Simplify (+ 0 0) into 0
4.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.632 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.633 * [taylor]: Taking taylor expansion of 0 in a2
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.635 * [backup-simplify]: Simplify (- 0) into 0
4.635 * [backup-simplify]: Simplify (+ 0 0) into 0
4.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.637 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.638 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.638 * [taylor]: Taking taylor expansion of 0 in th
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.642 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.642 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
4.642 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.642 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.642 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.642 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.642 * [taylor]: Taking taylor expansion of -1 in th
4.642 * [backup-simplify]: Simplify -1 into -1
4.642 * [taylor]: Taking taylor expansion of th in th
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify 1 into 1
4.643 * [backup-simplify]: Simplify (/ -1 1) into -1
4.643 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.643 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.643 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.643 * [taylor]: Taking taylor expansion of a2 in th
4.643 * [backup-simplify]: Simplify a2 into a2
4.643 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.643 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.643 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.643 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.643 * [taylor]: Taking taylor expansion of a1 in th
4.643 * [backup-simplify]: Simplify a1 into a1
4.643 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.644 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.644 * [taylor]: Taking taylor expansion of 2.0 in th
4.644 * [backup-simplify]: Simplify 2.0 into 2.0
4.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.645 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.645 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.646 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.646 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.646 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.646 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.646 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.646 * [taylor]: Taking taylor expansion of -1 in a2
4.646 * [backup-simplify]: Simplify -1 into -1
4.646 * [taylor]: Taking taylor expansion of th in a2
4.646 * [backup-simplify]: Simplify th into th
4.646 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.646 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.647 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.647 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.647 * [taylor]: Taking taylor expansion of a2 in a2
4.647 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify 1 into 1
4.647 * [backup-simplify]: Simplify (* 1 1) into 1
4.647 * [backup-simplify]: Simplify (/ 1 1) into 1
4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.648 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.648 * [taylor]: Taking taylor expansion of a1 in a2
4.648 * [backup-simplify]: Simplify a1 into a1
4.648 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.648 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.648 * [taylor]: Taking taylor expansion of 2.0 in a2
4.648 * [backup-simplify]: Simplify 2.0 into 2.0
4.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.649 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.649 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.650 * [backup-simplify]: Simplify (- 0) into 0
4.650 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.650 * [backup-simplify]: Simplify (+ 1 0) into 1
4.650 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.651 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.651 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.651 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.651 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.651 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.651 * [taylor]: Taking taylor expansion of -1 in a1
4.651 * [backup-simplify]: Simplify -1 into -1
4.651 * [taylor]: Taking taylor expansion of th in a1
4.651 * [backup-simplify]: Simplify th into th
4.651 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.651 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.651 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.651 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.651 * [taylor]: Taking taylor expansion of a2 in a1
4.651 * [backup-simplify]: Simplify a2 into a2
4.651 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.651 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.651 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.651 * [taylor]: Taking taylor expansion of a1 in a1
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.652 * [backup-simplify]: Simplify (* 1 1) into 1
4.652 * [backup-simplify]: Simplify (/ 1 1) into 1
4.652 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.652 * [taylor]: Taking taylor expansion of 2.0 in a1
4.652 * [backup-simplify]: Simplify 2.0 into 2.0
4.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.654 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.654 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.654 * [backup-simplify]: Simplify (- 0) into 0
4.654 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.654 * [backup-simplify]: Simplify (+ 0 1) into 1
4.655 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.655 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.655 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.655 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.655 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.655 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.655 * [taylor]: Taking taylor expansion of -1 in a1
4.655 * [backup-simplify]: Simplify -1 into -1
4.655 * [taylor]: Taking taylor expansion of th in a1
4.655 * [backup-simplify]: Simplify th into th
4.655 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.655 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.655 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.656 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.656 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.656 * [taylor]: Taking taylor expansion of a2 in a1
4.656 * [backup-simplify]: Simplify a2 into a2
4.656 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.656 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.656 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.656 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.656 * [taylor]: Taking taylor expansion of a1 in a1
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.656 * [backup-simplify]: Simplify (* 1 1) into 1
4.657 * [backup-simplify]: Simplify (/ 1 1) into 1
4.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.657 * [taylor]: Taking taylor expansion of 2.0 in a1
4.657 * [backup-simplify]: Simplify 2.0 into 2.0
4.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.658 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.658 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.658 * [backup-simplify]: Simplify (- 0) into 0
4.659 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.659 * [backup-simplify]: Simplify (+ 0 1) into 1
4.659 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.660 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.660 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
4.660 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.660 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.660 * [taylor]: Taking taylor expansion of -1 in a2
4.660 * [backup-simplify]: Simplify -1 into -1
4.660 * [taylor]: Taking taylor expansion of th in a2
4.660 * [backup-simplify]: Simplify th into th
4.660 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.660 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.660 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.660 * [taylor]: Taking taylor expansion of 2.0 in a2
4.660 * [backup-simplify]: Simplify 2.0 into 2.0
4.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.661 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.661 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.662 * [backup-simplify]: Simplify (- 0) into 0
4.662 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.662 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify (+ 0 0) into 0
4.664 * [backup-simplify]: Simplify (+ 0) into 0
4.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.665 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.667 * [backup-simplify]: Simplify (- 0) into 0
4.667 * [backup-simplify]: Simplify (+ 0 0) into 0
4.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.669 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.669 * [taylor]: Taking taylor expansion of 0 in a2
4.669 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.671 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.672 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.673 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.674 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.675 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.675 * [backup-simplify]: Simplify (- 0) into 0
4.675 * [backup-simplify]: Simplify (+ 0 0) into 0
4.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
4.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.680 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
4.680 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.680 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.680 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.680 * [taylor]: Taking taylor expansion of -1 in a2
4.680 * [backup-simplify]: Simplify -1 into -1
4.680 * [taylor]: Taking taylor expansion of th in a2
4.680 * [backup-simplify]: Simplify th into th
4.680 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.680 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.680 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.680 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.680 * [taylor]: Taking taylor expansion of 2.0 in a2
4.680 * [backup-simplify]: Simplify 2.0 into 2.0
4.681 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.682 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.682 * [taylor]: Taking taylor expansion of a2 in a2
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.682 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.682 * [backup-simplify]: Simplify (- 0) into 0
4.682 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.683 * [backup-simplify]: Simplify (* 1 1) into 1
4.684 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.684 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.684 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.684 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.684 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.684 * [taylor]: Taking taylor expansion of -1 in th
4.684 * [backup-simplify]: Simplify -1 into -1
4.684 * [taylor]: Taking taylor expansion of th in th
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 1 into 1
4.685 * [backup-simplify]: Simplify (/ -1 1) into -1
4.685 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.685 * [taylor]: Taking taylor expansion of 2.0 in th
4.685 * [backup-simplify]: Simplify 2.0 into 2.0
4.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.687 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.687 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.687 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.687 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.687 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.687 * [taylor]: Taking taylor expansion of -1 in th
4.687 * [backup-simplify]: Simplify -1 into -1
4.687 * [taylor]: Taking taylor expansion of th in th
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (/ -1 1) into -1
4.688 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.688 * [taylor]: Taking taylor expansion of 2.0 in th
4.688 * [backup-simplify]: Simplify 2.0 into 2.0
4.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.690 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.690 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.690 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.695 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.698 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.698 * [backup-simplify]: Simplify (- 0) into 0
4.698 * [backup-simplify]: Simplify (+ 0 0) into 0
4.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.704 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.704 * [taylor]: Taking taylor expansion of 0 in a2
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify (+ 0) into 0
4.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.705 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.706 * [backup-simplify]: Simplify (- 0) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.709 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.710 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.710 * [taylor]: Taking taylor expansion of 0 in th
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [taylor]: Taking taylor expansion of 0 in th
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify (+ 0) into 0
4.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.712 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.713 * [backup-simplify]: Simplify (- 0) into 0
4.714 * [backup-simplify]: Simplify (+ 0 0) into 0
4.715 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.715 * [taylor]: Taking taylor expansion of 0 in th
4.715 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.718 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.722 * [backup-simplify]: Simplify (+ 0 0) into 0
4.724 * [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
4.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.725 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.727 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.728 * [backup-simplify]: Simplify (- 0) into 0
4.729 * [backup-simplify]: Simplify (+ 0 0) into 0
4.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.736 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.736 * [taylor]: Taking taylor expansion of 0 in a2
4.736 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.738 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.739 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.740 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.740 * [backup-simplify]: Simplify (- 0) into 0
4.740 * [backup-simplify]: Simplify (+ 0 0) into 0
4.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.743 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.746 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.746 * [taylor]: Taking taylor expansion of 0 in th
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 0 into 0
4.748 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.748 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
4.749 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (cos th)) into (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
4.749 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in (th) around 0
4.749 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in th
4.749 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
4.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.749 * [taylor]: Taking taylor expansion of 2.0 in th
4.749 * [backup-simplify]: Simplify 2.0 into 2.0
4.749 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.751 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
4.752 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th
4.752 * [taylor]: Taking taylor expansion of (cos th) in th
4.752 * [taylor]: Taking taylor expansion of th in th
4.752 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify 1 into 1
4.752 * [backup-simplify]: Simplify (/ 1 1) into 1
4.752 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos th))) in th
4.752 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
4.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.752 * [taylor]: Taking taylor expansion of 2.0 in th
4.752 * [backup-simplify]: Simplify 2.0 into 2.0
4.753 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.754 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
4.755 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th
4.755 * [taylor]: Taking taylor expansion of (cos th) in th
4.755 * [taylor]: Taking taylor expansion of th in th
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 1 into 1
4.756 * [backup-simplify]: Simplify (/ 1 1) into 1
4.757 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) 1) into (sqrt (sqrt 2.0))
4.758 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.758 * [backup-simplify]: Simplify (+ 0) into 0
4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.760 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 1)) into 0
4.760 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
4.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.770 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0
4.773 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 1/2) (+ (* 0 0) (* 0 1))) into (* 1/2 (sqrt (sqrt 2.0)))
4.774 * [backup-simplify]: Simplify (* 1/2 (sqrt (sqrt 2.0))) into (* 1/2 (sqrt (sqrt 2.0)))
4.776 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
4.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.781 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
4.781 * [backup-simplify]: Simplify 0 into 0
4.784 * [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
4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 5/24
4.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.794 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 5/24) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into (* 5/24 (sqrt (sqrt 2.0)))
4.795 * [backup-simplify]: Simplify (* 5/24 (sqrt (sqrt 2.0))) into (* 5/24 (sqrt (sqrt 2.0)))
4.799 * [backup-simplify]: Simplify (+ (* (* 5/24 (sqrt (sqrt 2.0))) (pow th 4)) (+ (* (* 1/2 (sqrt (sqrt 2.0))) (pow th 2)) (sqrt (sqrt 2.0)))) into (+ (* 1/2 (* (sqrt (sqrt 2.0)) (pow th 2))) (+ (* 5/24 (* (sqrt (sqrt 2.0)) (pow th 4))) (sqrt (sqrt 2.0))))
4.800 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (cos (/ 1 th))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th))))
4.801 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in (th) around 0
4.801 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in th
4.801 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
4.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.801 * [taylor]: Taking taylor expansion of 2.0 in th
4.801 * [backup-simplify]: Simplify 2.0 into 2.0
4.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.803 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
4.803 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th
4.803 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.803 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.803 * [taylor]: Taking taylor expansion of th in th
4.803 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.804 * [backup-simplify]: Simplify (/ 1 1) into 1
4.804 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.804 * [backup-simplify]: Simplify (/ 1 (cos (/ 1 th))) into (/ 1 (cos (/ 1 th)))
4.804 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) in th
4.804 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
4.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.804 * [taylor]: Taking taylor expansion of 2.0 in th
4.804 * [backup-simplify]: Simplify 2.0 into 2.0
4.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.806 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
4.807 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th
4.807 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.807 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.807 * [taylor]: Taking taylor expansion of th in th
4.807 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify 1 into 1
4.808 * [backup-simplify]: Simplify (/ 1 1) into 1
4.808 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.808 * [backup-simplify]: Simplify (/ 1 (cos (/ 1 th))) into (/ 1 (cos (/ 1 th)))
4.809 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th))))
4.810 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 th))))
4.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.811 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (/ 1 (cos (/ 1 th))))) into 0
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0
4.815 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))) into 0
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.819 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th))))))) into 0
4.819 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.825 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))))) into 0
4.825 * [backup-simplify]: Simplify 0 into 0
4.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.830 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th))))))))) into 0
4.830 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.836 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))))))) into 0
4.836 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ 1 (/ 1 th))))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
4.838 * [backup-simplify]: Simplify (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th))))
4.838 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in (th) around 0
4.838 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in th
4.838 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
4.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.838 * [taylor]: Taking taylor expansion of 2.0 in th
4.838 * [backup-simplify]: Simplify 2.0 into 2.0
4.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.840 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
4.841 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th
4.841 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.841 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.841 * [taylor]: Taking taylor expansion of -1 in th
4.841 * [backup-simplify]: Simplify -1 into -1
4.841 * [taylor]: Taking taylor expansion of th in th
4.841 * [backup-simplify]: Simplify 0 into 0
4.841 * [backup-simplify]: Simplify 1 into 1
4.842 * [backup-simplify]: Simplify (/ -1 1) into -1
4.842 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.842 * [backup-simplify]: Simplify (/ 1 (cos (/ -1 th))) into (/ 1 (cos (/ -1 th)))
4.842 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) in th
4.842 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in th
4.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.842 * [taylor]: Taking taylor expansion of 2.0 in th
4.842 * [backup-simplify]: Simplify 2.0 into 2.0
4.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.844 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
4.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
4.845 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th
4.845 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.845 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.845 * [taylor]: Taking taylor expansion of -1 in th
4.845 * [backup-simplify]: Simplify -1 into -1
4.845 * [taylor]: Taking taylor expansion of th in th
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.845 * [backup-simplify]: Simplify (/ -1 1) into -1
4.846 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.846 * [backup-simplify]: Simplify (/ 1 (cos (/ -1 th))) into (/ 1 (cos (/ -1 th)))
4.847 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th))))
4.847 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th)))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 th))))
4.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.848 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (/ 1 (cos (/ -1 th))))) into 0
4.849 * [backup-simplify]: Simplify 0 into 0
4.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0
4.853 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))) into 0
4.853 * [backup-simplify]: Simplify 0 into 0
4.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.857 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th))))))) into 0
4.857 * [backup-simplify]: Simplify 0 into 0
4.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.863 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))))) into 0
4.863 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.868 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th))))))))) into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.870 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0
4.874 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))))))) into 0
4.874 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (/ 1 (cos (/ -1 (/ 1 (- th)))))) into (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
4.875 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
4.876 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
4.876 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
4.876 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.876 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.876 * [taylor]: Taking taylor expansion of a2 in a2
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.876 * [taylor]: Taking taylor expansion of a1 in a2
4.876 * [backup-simplify]: Simplify a1 into a1
4.876 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.876 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.876 * [taylor]: Taking taylor expansion of a2 in a1
4.876 * [backup-simplify]: Simplify a2 into a2
4.876 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.876 * [taylor]: Taking taylor expansion of a1 in a1
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.876 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.876 * [taylor]: Taking taylor expansion of a2 in a1
4.876 * [backup-simplify]: Simplify a2 into a2
4.876 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.876 * [taylor]: Taking taylor expansion of a1 in a1
4.876 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify 1 into 1
4.876 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.877 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.877 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.877 * [taylor]: Taking taylor expansion of a2 in a2
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify 1 into 1
4.877 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.877 * [backup-simplify]: Simplify (+ 0 0) into 0
4.877 * [taylor]: Taking taylor expansion of 0 in a2
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.878 * [backup-simplify]: Simplify (* 1 1) into 1
4.879 * [backup-simplify]: Simplify (+ 0 1) into 1
4.879 * [taylor]: Taking taylor expansion of 1 in a2
4.879 * [backup-simplify]: Simplify 1 into 1
4.879 * [backup-simplify]: Simplify 1 into 1
4.879 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify (* 1 1) into 1
4.879 * [backup-simplify]: Simplify 1 into 1
4.880 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.881 * [backup-simplify]: Simplify (+ 0 0) into 0
4.881 * [taylor]: Taking taylor expansion of 0 in a2
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
4.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.884 * [backup-simplify]: Simplify (+ 0 0) into 0
4.884 * [taylor]: Taking taylor expansion of 0 in a2
4.884 * [backup-simplify]: Simplify 0 into 0
4.884 * [backup-simplify]: Simplify 0 into 0
4.884 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
4.885 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.885 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
4.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.885 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.885 * [taylor]: Taking taylor expansion of a2 in a2
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify 1 into 1
4.886 * [backup-simplify]: Simplify (* 1 1) into 1
4.886 * [backup-simplify]: Simplify (/ 1 1) into 1
4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.886 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.886 * [taylor]: Taking taylor expansion of a1 in a2
4.886 * [backup-simplify]: Simplify a1 into a1
4.886 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.886 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.886 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.886 * [taylor]: Taking taylor expansion of a2 in a1
4.886 * [backup-simplify]: Simplify a2 into a2
4.886 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.887 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.887 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.887 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.887 * [taylor]: Taking taylor expansion of a1 in a1
4.887 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify 1 into 1
4.887 * [backup-simplify]: Simplify (* 1 1) into 1
4.887 * [backup-simplify]: Simplify (/ 1 1) into 1
4.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.887 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.888 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.888 * [taylor]: Taking taylor expansion of a2 in a1
4.888 * [backup-simplify]: Simplify a2 into a2
4.888 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.888 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.888 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.888 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.888 * [taylor]: Taking taylor expansion of a1 in a1
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 1 into 1
4.888 * [backup-simplify]: Simplify (* 1 1) into 1
4.889 * [backup-simplify]: Simplify (/ 1 1) into 1
4.889 * [backup-simplify]: Simplify (+ 0 1) into 1
4.889 * [taylor]: Taking taylor expansion of 1 in a2
4.889 * [backup-simplify]: Simplify 1 into 1
4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ 0 0) into 0
4.891 * [taylor]: Taking taylor expansion of 0 in a2
4.891 * [backup-simplify]: Simplify 0 into 0
4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.893 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.893 * [taylor]: Taking taylor expansion of a2 in a2
4.893 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify 1 into 1
4.893 * [backup-simplify]: Simplify (* 1 1) into 1
4.894 * [backup-simplify]: Simplify (/ 1 1) into 1
4.894 * [backup-simplify]: Simplify 1 into 1
4.894 * [backup-simplify]: Simplify 1 into 1
4.894 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.897 * [backup-simplify]: Simplify (+ 0 0) into 0
4.897 * [taylor]: Taking taylor expansion of 0 in a2
4.897 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.902 * [backup-simplify]: Simplify (+ 0 0) into 0
4.902 * [taylor]: Taking taylor expansion of 0 in a2
4.902 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
4.904 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.905 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
4.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.905 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.905 * [taylor]: Taking taylor expansion of a2 in a2
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 1 into 1
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.905 * [backup-simplify]: Simplify (/ 1 1) into 1
4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.906 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.906 * [taylor]: Taking taylor expansion of a1 in a2
4.906 * [backup-simplify]: Simplify a1 into a1
4.906 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.906 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.906 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.906 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.906 * [taylor]: Taking taylor expansion of a2 in a1
4.906 * [backup-simplify]: Simplify a2 into a2
4.906 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.906 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.906 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.906 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.906 * [taylor]: Taking taylor expansion of a1 in a1
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.906 * [backup-simplify]: Simplify (* 1 1) into 1
4.907 * [backup-simplify]: Simplify (/ 1 1) into 1
4.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.907 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.907 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.907 * [taylor]: Taking taylor expansion of a2 in a1
4.907 * [backup-simplify]: Simplify a2 into a2
4.907 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.907 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.907 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.907 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.907 * [taylor]: Taking taylor expansion of a1 in a1
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 1 into 1
4.907 * [backup-simplify]: Simplify (* 1 1) into 1
4.908 * [backup-simplify]: Simplify (/ 1 1) into 1
4.908 * [backup-simplify]: Simplify (+ 0 1) into 1
4.908 * [taylor]: Taking taylor expansion of 1 in a2
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.909 * [backup-simplify]: Simplify (+ 0 0) into 0
4.909 * [taylor]: Taking taylor expansion of 0 in a2
4.909 * [backup-simplify]: Simplify 0 into 0
4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.914 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.914 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.914 * [taylor]: Taking taylor expansion of a2 in a2
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify 1 into 1
4.915 * [backup-simplify]: Simplify (* 1 1) into 1
4.915 * [backup-simplify]: Simplify (/ 1 1) into 1
4.915 * [backup-simplify]: Simplify 1 into 1
4.915 * [backup-simplify]: Simplify 1 into 1
4.915 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.917 * [backup-simplify]: Simplify (+ 0 0) into 0
4.917 * [taylor]: Taking taylor expansion of 0 in a2
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.920 * [backup-simplify]: Simplify (+ 0 0) into 0
4.920 * [taylor]: Taking taylor expansion of 0 in a2
4.920 * [backup-simplify]: Simplify 0 into 0
4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
4.921 * * * [progress]: simplifying candidates
4.948 * [simplify]: Simplifying:
  (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2.0))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 1)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
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  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (sqrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 1))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ 1 (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 1)) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 1)) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt 1) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 1))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1)
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt 2.0)))
  (- (log (sqrt (sqrt 2.0))) (log (cos th)))
  (log (/ (sqrt (sqrt 2.0)) (cos th)))
  (exp (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (- (sqrt (sqrt 2.0)))
  (- (cos th))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)
  (/ (cbrt (sqrt (sqrt 2.0))) (cos th))
  (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)
  (/ (sqrt (sqrt (cbrt 2.0))) (cos th))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 1)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 1)) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt 1) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt 1) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ 1 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (* (exp (* a1 a1)) (exp (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
  (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (* 1/2 (* (sqrt (sqrt 2.0)) (pow th 2))) (+ (* 5/24 (* (sqrt (sqrt 2.0)) (pow th 4))) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
  (* (sqrt (sqrt 2.0)) (/ 1 (cos th)))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
5.013 * * [simplify]: iteration 0: 1196 enodes
6.677 * * [simplify]: iteration 1: 4653 enodes
7.728 * * [simplify]: iteration complete: 5000 enodes
7.731 * * [simplify]: Extracting #0: cost 795 inf + 0
7.742 * * [simplify]: Extracting #1: cost 2294 inf + 1
7.756 * * [simplify]: Extracting #2: cost 2334 inf + 1598
7.771 * * [simplify]: Extracting #3: cost 2312 inf + 4167
7.781 * * [simplify]: Extracting #4: cost 2220 inf + 18133
7.824 * * [simplify]: Extracting #5: cost 1699 inf + 177147
7.940 * * [simplify]: Extracting #6: cost 374 inf + 764909
8.095 * * [simplify]: Extracting #7: cost 1 inf + 956761
8.306 * * [simplify]: Extracting #8: cost 0 inf + 956645
8.547 * [simplify]: Simplified to:
  (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (/ (* (sqrt 2.0) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (sqrt (sqrt 2.0)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (fabs (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (+ (* a1 a1) (* a2 a2))
  (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))
  (* (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (* (- (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (log (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (log (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (log (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (log (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (log (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (exp (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
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  (/ (/ (/ (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (/ (* (sqrt 2.0) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (sqrt 2.0) (sqrt (sqrt 2.0)))) (* (* (cos th) (cos th)) (cos th)))
  (/ (/ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cbrt (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))) (cbrt (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))))
  (cbrt (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (* (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))) (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (sqrt (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (sqrt (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th)))
  (- (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (- (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (* (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (cos th))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ 1 (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (sqrt (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (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)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (sqrt (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (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)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (sqrt (cos th)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1) (cos th))
  (/ (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) 1)
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (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))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) 1) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) 1) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) 1) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) 1) (cos th))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (sqrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) 1) (cos th))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
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  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
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  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
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  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) 1) (cos th))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* 1 (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (fabs (cbrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (* (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) 1) (cos th))
  (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (fabs (cbrt (sqrt 2.0))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1)
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (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))) (* (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (fabs (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ 1 (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (sqrt (cbrt 2.0))) (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
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  (/ 1 (* (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (fabs (cbrt 2.0)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  1
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  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
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  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  1
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  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (sqrt (cos th))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (sqrt (cos th))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  1
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (cos th))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ 1 (* (sqrt (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt (sqrt 2.0))))
  (/ 1 (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (fabs (cbrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) 1) (sqrt (cos th)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) 1) (sqrt (cos th)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (* (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) 1) (sqrt (cos th)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (+ (* a1 a1) (* a2 a2))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (/ 1 (sqrt (sqrt 2.0))) (/ 1 (cos th)))
  (* (/ 1 (sqrt (sqrt 2.0))) (cos th))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) 1) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cos th)))
  (* (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (log (/ (sqrt (sqrt 2.0)) (cos th)))
  (log (/ (sqrt (sqrt 2.0)) (cos th)))
  (exp (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt 2.0) (* (cos th) (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th))))
  (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))
  (- (sqrt (sqrt 2.0)))
  (- (cos th))
  (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (cbrt (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt (sqrt 2.0))) (cos th))
  (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (fabs (cbrt (sqrt 2.0)))
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (sqrt (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt (cbrt 2.0))) (cos th))
  (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  1
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  1
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (sqrt 2.0))) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  1
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a2 a2) (* a1 a1)))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ (* a2 a2) (sqrt 2.0)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (/ (* (cos th) (* a1 a1)) (sqrt 2.0)))
  (+ (/ (cos th) (/ (sqrt 2.0) (* a2 a2))) (/ (* (cos th) (* a1 a1)) (sqrt 2.0)))
  (+ (+ (sqrt (sqrt 2.0)) (* (* 5/24 (sqrt (sqrt 2.0))) (* (* th th) (* th th)))) (* 1/2 (* (* th th) (sqrt (sqrt 2.0)))))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
8.811 * * * [progress]: adding candidates to table
13.855 * * [progress]: iteration 3 / 4
13.855 * * * [progress]: picking best candidate
13.881 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))>
13.881 * * * [progress]: localizing error
13.916 * * * [progress]: generating rewritten candidates
13.916 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
13.955 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
13.992 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
14.004 * * * [progress]: generating series expansions
14.004 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
14.005 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
14.005 * [approximate]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in (a1 a2) around 0
14.005 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a2
14.005 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
14.005 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.005 * [taylor]: Taking taylor expansion of a2 in a2
14.005 * [backup-simplify]: Simplify 0 into 0
14.005 * [backup-simplify]: Simplify 1 into 1
14.005 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.005 * [taylor]: Taking taylor expansion of a1 in a2
14.005 * [backup-simplify]: Simplify a1 into a1
14.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.005 * [taylor]: Taking taylor expansion of 2.0 in a2
14.005 * [backup-simplify]: Simplify 2.0 into 2.0
14.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.006 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.006 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
14.006 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
14.006 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1
14.006 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
14.006 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.006 * [taylor]: Taking taylor expansion of a2 in a1
14.006 * [backup-simplify]: Simplify a2 into a2
14.006 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.006 * [taylor]: Taking taylor expansion of a1 in a1
14.006 * [backup-simplify]: Simplify 0 into 0
14.006 * [backup-simplify]: Simplify 1 into 1
14.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.006 * [taylor]: Taking taylor expansion of 2.0 in a1
14.006 * [backup-simplify]: Simplify 2.0 into 2.0
14.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.007 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.007 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
14.008 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
14.008 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1
14.008 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
14.008 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.008 * [taylor]: Taking taylor expansion of a2 in a1
14.008 * [backup-simplify]: Simplify a2 into a2
14.008 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.008 * [taylor]: Taking taylor expansion of a1 in a1
14.008 * [backup-simplify]: Simplify 0 into 0
14.008 * [backup-simplify]: Simplify 1 into 1
14.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.008 * [taylor]: Taking taylor expansion of 2.0 in a1
14.008 * [backup-simplify]: Simplify 2.0 into 2.0
14.008 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.009 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.009 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
14.010 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
14.010 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
14.010 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.010 * [taylor]: Taking taylor expansion of a2 in a2
14.010 * [backup-simplify]: Simplify 0 into 0
14.010 * [backup-simplify]: Simplify 1 into 1
14.010 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.010 * [taylor]: Taking taylor expansion of 2.0 in a2
14.010 * [backup-simplify]: Simplify 2.0 into 2.0
14.010 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.011 * [backup-simplify]: Simplify (* 1 1) into 1
14.011 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.011 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.012 * [backup-simplify]: Simplify (+ 0 0) into 0
14.013 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.013 * [taylor]: Taking taylor expansion of 0 in a2
14.013 * [backup-simplify]: Simplify 0 into 0
14.013 * [backup-simplify]: Simplify 0 into 0
14.013 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.013 * [backup-simplify]: Simplify (* 1 1) into 1
14.014 * [backup-simplify]: Simplify (+ 0 1) into 1
14.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.016 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (sqrt 2.0))
14.016 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
14.016 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.016 * [taylor]: Taking taylor expansion of 2.0 in a2
14.016 * [backup-simplify]: Simplify 2.0 into 2.0
14.016 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.017 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.018 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.018 * [backup-simplify]: Simplify 0 into 0
14.018 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.019 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
14.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.020 * [backup-simplify]: Simplify (+ 0 0) into 0
14.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.022 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.022 * [taylor]: Taking taylor expansion of 0 in a2
14.022 * [backup-simplify]: Simplify 0 into 0
14.022 * [backup-simplify]: Simplify 0 into 0
14.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.023 * [backup-simplify]: Simplify 0 into 0
14.023 * [backup-simplify]: Simplify 0 into 0
14.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.024 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.024 * [backup-simplify]: Simplify 0 into 0
14.025 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
14.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.026 * [backup-simplify]: Simplify (+ 0 0) into 0
14.026 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.030 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.030 * [taylor]: Taking taylor expansion of 0 in a2
14.030 * [backup-simplify]: Simplify 0 into 0
14.030 * [backup-simplify]: Simplify 0 into 0
14.030 * [backup-simplify]: Simplify 0 into 0
14.033 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* a2 1) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 a1) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
14.033 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2.0)) into (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))
14.033 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in (a1 a2) around 0
14.033 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a2
14.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
14.033 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.034 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.034 * [taylor]: Taking taylor expansion of a2 in a2
14.034 * [backup-simplify]: Simplify 0 into 0
14.034 * [backup-simplify]: Simplify 1 into 1
14.034 * [backup-simplify]: Simplify (* 1 1) into 1
14.034 * [backup-simplify]: Simplify (/ 1 1) into 1
14.034 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
14.034 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.034 * [taylor]: Taking taylor expansion of a1 in a2
14.035 * [backup-simplify]: Simplify a1 into a1
14.035 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.035 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.035 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.035 * [taylor]: Taking taylor expansion of 2.0 in a2
14.035 * [backup-simplify]: Simplify 2.0 into 2.0
14.035 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.036 * [backup-simplify]: Simplify (+ 1 0) into 1
14.037 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
14.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.037 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.038 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.038 * [taylor]: Taking taylor expansion of a2 in a1
14.038 * [backup-simplify]: Simplify a2 into a2
14.038 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.038 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.038 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.038 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.038 * [taylor]: Taking taylor expansion of a1 in a1
14.038 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify 1 into 1
14.038 * [backup-simplify]: Simplify (* 1 1) into 1
14.039 * [backup-simplify]: Simplify (/ 1 1) into 1
14.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.039 * [taylor]: Taking taylor expansion of 2.0 in a1
14.039 * [backup-simplify]: Simplify 2.0 into 2.0
14.039 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.040 * [backup-simplify]: Simplify (+ 0 1) into 1
14.041 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
14.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.042 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.042 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.042 * [taylor]: Taking taylor expansion of a2 in a1
14.042 * [backup-simplify]: Simplify a2 into a2
14.042 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.042 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.042 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.042 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.042 * [taylor]: Taking taylor expansion of a1 in a1
14.042 * [backup-simplify]: Simplify 0 into 0
14.042 * [backup-simplify]: Simplify 1 into 1
14.042 * [backup-simplify]: Simplify (* 1 1) into 1
14.043 * [backup-simplify]: Simplify (/ 1 1) into 1
14.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.043 * [taylor]: Taking taylor expansion of 2.0 in a1
14.043 * [backup-simplify]: Simplify 2.0 into 2.0
14.043 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.044 * [backup-simplify]: Simplify (+ 0 1) into 1
14.044 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.044 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
14.044 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.044 * [taylor]: Taking taylor expansion of 2.0 in a2
14.045 * [backup-simplify]: Simplify 2.0 into 2.0
14.045 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.046 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.047 * [backup-simplify]: Simplify (+ 0 0) into 0
14.048 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.048 * [taylor]: Taking taylor expansion of 0 in a2
14.048 * [backup-simplify]: Simplify 0 into 0
14.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.049 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
14.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.051 * [backup-simplify]: Simplify (- (/ (/ 1 (pow a2 2)) (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (* (sqrt 2.0) (pow a2 2)))
14.051 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (pow a2 2))) in a2
14.051 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
14.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.051 * [taylor]: Taking taylor expansion of 2.0 in a2
14.051 * [backup-simplify]: Simplify 2.0 into 2.0
14.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.051 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.051 * [taylor]: Taking taylor expansion of a2 in a2
14.052 * [backup-simplify]: Simplify 0 into 0
14.052 * [backup-simplify]: Simplify 1 into 1
14.052 * [backup-simplify]: Simplify (* 1 1) into 1
14.052 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
14.053 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.053 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.054 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.054 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
14.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.056 * [backup-simplify]: Simplify (+ 0 0) into 0
14.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.058 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
14.058 * [taylor]: Taking taylor expansion of 0 in a2
14.058 * [backup-simplify]: Simplify 0 into 0
14.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.059 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
14.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.060 * [backup-simplify]: Simplify 0 into 0
14.060 * [backup-simplify]: Simplify 0 into 0
14.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.061 * [backup-simplify]: Simplify 0 into 0
14.061 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
14.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.067 * [backup-simplify]: Simplify (+ 0 0) into 0
14.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.071 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.071 * [taylor]: Taking taylor expansion of 0 in a2
14.071 * [backup-simplify]: Simplify 0 into 0
14.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.073 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
14.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify 0 into 0
14.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.075 * [backup-simplify]: Simplify 0 into 0
14.077 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* (/ 1 (sqrt 2.0)) (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
14.077 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2.0)) into (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))
14.077 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in (a1 a2) around 0
14.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a2
14.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
14.077 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.077 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.077 * [taylor]: Taking taylor expansion of a2 in a2
14.077 * [backup-simplify]: Simplify 0 into 0
14.077 * [backup-simplify]: Simplify 1 into 1
14.077 * [backup-simplify]: Simplify (* 1 1) into 1
14.078 * [backup-simplify]: Simplify (/ 1 1) into 1
14.078 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
14.078 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.078 * [taylor]: Taking taylor expansion of a1 in a2
14.078 * [backup-simplify]: Simplify a1 into a1
14.078 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.078 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.078 * [taylor]: Taking taylor expansion of 2.0 in a2
14.078 * [backup-simplify]: Simplify 2.0 into 2.0
14.078 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.079 * [backup-simplify]: Simplify (+ 1 0) into 1
14.080 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
14.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.080 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.080 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.080 * [taylor]: Taking taylor expansion of a2 in a1
14.080 * [backup-simplify]: Simplify a2 into a2
14.080 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.080 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.080 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.080 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.080 * [taylor]: Taking taylor expansion of a1 in a1
14.080 * [backup-simplify]: Simplify 0 into 0
14.080 * [backup-simplify]: Simplify 1 into 1
14.080 * [backup-simplify]: Simplify (* 1 1) into 1
14.080 * [backup-simplify]: Simplify (/ 1 1) into 1
14.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.080 * [taylor]: Taking taylor expansion of 2.0 in a1
14.080 * [backup-simplify]: Simplify 2.0 into 2.0
14.081 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.081 * [backup-simplify]: Simplify (+ 0 1) into 1
14.082 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
14.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.082 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.082 * [taylor]: Taking taylor expansion of a2 in a1
14.082 * [backup-simplify]: Simplify a2 into a2
14.082 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.082 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.082 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.082 * [taylor]: Taking taylor expansion of a1 in a1
14.082 * [backup-simplify]: Simplify 0 into 0
14.082 * [backup-simplify]: Simplify 1 into 1
14.083 * [backup-simplify]: Simplify (* 1 1) into 1
14.083 * [backup-simplify]: Simplify (/ 1 1) into 1
14.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.083 * [taylor]: Taking taylor expansion of 2.0 in a1
14.083 * [backup-simplify]: Simplify 2.0 into 2.0
14.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.084 * [backup-simplify]: Simplify (+ 0 1) into 1
14.084 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.084 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
14.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.084 * [taylor]: Taking taylor expansion of 2.0 in a2
14.085 * [backup-simplify]: Simplify 2.0 into 2.0
14.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.086 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.087 * [backup-simplify]: Simplify (+ 0 0) into 0
14.088 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.088 * [taylor]: Taking taylor expansion of 0 in a2
14.088 * [backup-simplify]: Simplify 0 into 0
14.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.089 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
14.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.091 * [backup-simplify]: Simplify (- (/ (/ 1 (pow a2 2)) (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (* (sqrt 2.0) (pow a2 2)))
14.091 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (pow a2 2))) in a2
14.091 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
14.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.091 * [taylor]: Taking taylor expansion of 2.0 in a2
14.091 * [backup-simplify]: Simplify 2.0 into 2.0
14.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.091 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.091 * [taylor]: Taking taylor expansion of a2 in a2
14.091 * [backup-simplify]: Simplify 0 into 0
14.091 * [backup-simplify]: Simplify 1 into 1
14.092 * [backup-simplify]: Simplify (* 1 1) into 1
14.092 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
14.093 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.093 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.094 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.094 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
14.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.096 * [backup-simplify]: Simplify (+ 0 0) into 0
14.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.098 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
14.098 * [taylor]: Taking taylor expansion of 0 in a2
14.098 * [backup-simplify]: Simplify 0 into 0
14.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.099 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
14.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.100 * [backup-simplify]: Simplify 0 into 0
14.100 * [backup-simplify]: Simplify 0 into 0
14.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.101 * [backup-simplify]: Simplify 0 into 0
14.101 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
14.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.103 * [backup-simplify]: Simplify (+ 0 0) into 0
14.104 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.108 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.108 * [taylor]: Taking taylor expansion of 0 in a2
14.108 * [backup-simplify]: Simplify 0 into 0
14.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.110 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.112 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
14.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.113 * [backup-simplify]: Simplify 0 into 0
14.113 * [backup-simplify]: Simplify 0 into 0
14.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.116 * [backup-simplify]: Simplify 0 into 0
14.118 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* (/ 1 (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
14.118 * * * * [progress]: [ 2 / 3 ] generating series at (2)
14.119 * [backup-simplify]: Simplify (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
14.119 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
14.119 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
14.119 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
14.119 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
14.119 * [taylor]: Taking taylor expansion of (pow a2 2) in th
14.119 * [taylor]: Taking taylor expansion of a2 in th
14.119 * [backup-simplify]: Simplify a2 into a2
14.119 * [taylor]: Taking taylor expansion of (pow a1 2) in th
14.119 * [taylor]: Taking taylor expansion of a1 in th
14.119 * [backup-simplify]: Simplify a1 into a1
14.119 * [taylor]: Taking taylor expansion of (cos th) in th
14.119 * [taylor]: Taking taylor expansion of th in th
14.119 * [backup-simplify]: Simplify 0 into 0
14.119 * [backup-simplify]: Simplify 1 into 1
14.119 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.119 * [taylor]: Taking taylor expansion of 2.0 in th
14.119 * [backup-simplify]: Simplify 2.0 into 2.0
14.120 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.121 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.121 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.121 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
14.121 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
14.122 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
14.122 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
14.122 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
14.122 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
14.122 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.122 * [taylor]: Taking taylor expansion of a2 in a2
14.122 * [backup-simplify]: Simplify 0 into 0
14.122 * [backup-simplify]: Simplify 1 into 1
14.122 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.122 * [taylor]: Taking taylor expansion of a1 in a2
14.122 * [backup-simplify]: Simplify a1 into a1
14.122 * [taylor]: Taking taylor expansion of (cos th) in a2
14.123 * [taylor]: Taking taylor expansion of th in a2
14.123 * [backup-simplify]: Simplify th into th
14.123 * [backup-simplify]: Simplify (cos th) into (cos th)
14.123 * [backup-simplify]: Simplify (sin th) into (sin th)
14.123 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.123 * [taylor]: Taking taylor expansion of 2.0 in a2
14.123 * [backup-simplify]: Simplify 2.0 into 2.0
14.123 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.124 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.124 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
14.125 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
14.125 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.125 * [backup-simplify]: Simplify (- 0) into 0
14.125 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
14.125 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
14.126 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
14.126 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
14.126 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
14.126 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
14.126 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.126 * [taylor]: Taking taylor expansion of a2 in a1
14.126 * [backup-simplify]: Simplify a2 into a2
14.126 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.126 * [taylor]: Taking taylor expansion of a1 in a1
14.126 * [backup-simplify]: Simplify 0 into 0
14.126 * [backup-simplify]: Simplify 1 into 1
14.126 * [taylor]: Taking taylor expansion of (cos th) in a1
14.126 * [taylor]: Taking taylor expansion of th in a1
14.126 * [backup-simplify]: Simplify th into th
14.126 * [backup-simplify]: Simplify (cos th) into (cos th)
14.126 * [backup-simplify]: Simplify (sin th) into (sin th)
14.126 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.126 * [taylor]: Taking taylor expansion of 2.0 in a1
14.126 * [backup-simplify]: Simplify 2.0 into 2.0
14.127 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.128 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.128 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
14.128 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
14.128 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.128 * [backup-simplify]: Simplify (- 0) into 0
14.128 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
14.129 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
14.129 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
14.129 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
14.129 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
14.129 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
14.129 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.129 * [taylor]: Taking taylor expansion of a2 in a1
14.129 * [backup-simplify]: Simplify a2 into a2
14.129 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.129 * [taylor]: Taking taylor expansion of a1 in a1
14.129 * [backup-simplify]: Simplify 0 into 0
14.129 * [backup-simplify]: Simplify 1 into 1
14.129 * [taylor]: Taking taylor expansion of (cos th) in a1
14.130 * [taylor]: Taking taylor expansion of th in a1
14.130 * [backup-simplify]: Simplify th into th
14.130 * [backup-simplify]: Simplify (cos th) into (cos th)
14.130 * [backup-simplify]: Simplify (sin th) into (sin th)
14.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.130 * [taylor]: Taking taylor expansion of 2.0 in a1
14.130 * [backup-simplify]: Simplify 2.0 into 2.0
14.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.131 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.131 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
14.131 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
14.131 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.131 * [backup-simplify]: Simplify (- 0) into 0
14.131 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
14.131 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
14.132 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
14.132 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
14.132 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
14.132 * [taylor]: Taking taylor expansion of (cos th) in a2
14.132 * [taylor]: Taking taylor expansion of th in a2
14.132 * [backup-simplify]: Simplify th into th
14.132 * [backup-simplify]: Simplify (cos th) into (cos th)
14.132 * [backup-simplify]: Simplify (sin th) into (sin th)
14.132 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.132 * [taylor]: Taking taylor expansion of a2 in a2
14.132 * [backup-simplify]: Simplify 0 into 0
14.132 * [backup-simplify]: Simplify 1 into 1
14.132 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.132 * [taylor]: Taking taylor expansion of 2.0 in a2
14.132 * [backup-simplify]: Simplify 2.0 into 2.0
14.132 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.133 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
14.133 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.133 * [backup-simplify]: Simplify (- 0) into 0
14.133 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
14.133 * [backup-simplify]: Simplify (* 1 1) into 1
14.133 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
14.134 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
14.134 * [backup-simplify]: Simplify (+ 0) into 0
14.134 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
14.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.135 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
14.135 * [backup-simplify]: Simplify (- 0) into 0
14.135 * [backup-simplify]: Simplify (+ 0 0) into 0
14.136 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.136 * [backup-simplify]: Simplify (+ 0 0) into 0
14.136 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
14.137 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.137 * [taylor]: Taking taylor expansion of 0 in a2
14.137 * [backup-simplify]: Simplify 0 into 0
14.137 * [taylor]: Taking taylor expansion of 0 in th
14.137 * [backup-simplify]: Simplify 0 into 0
14.137 * [backup-simplify]: Simplify 0 into 0
14.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.138 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
14.138 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.139 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
14.139 * [backup-simplify]: Simplify (- 0) into 0
14.139 * [backup-simplify]: Simplify (+ 0 0) into 0
14.140 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.140 * [backup-simplify]: Simplify (* 1 1) into 1
14.140 * [backup-simplify]: Simplify (+ 0 1) into 1
14.141 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
14.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.143 * [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))
14.143 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
14.143 * [taylor]: Taking taylor expansion of (cos th) in a2
14.143 * [taylor]: Taking taylor expansion of th in a2
14.143 * [backup-simplify]: Simplify th into th
14.143 * [backup-simplify]: Simplify (cos th) into (cos th)
14.143 * [backup-simplify]: Simplify (sin th) into (sin th)
14.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.143 * [taylor]: Taking taylor expansion of 2.0 in a2
14.143 * [backup-simplify]: Simplify 2.0 into 2.0
14.143 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.144 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
14.144 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.144 * [backup-simplify]: Simplify (- 0) into 0
14.144 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
14.144 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
14.144 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
14.144 * [taylor]: Taking taylor expansion of (cos th) in th
14.144 * [taylor]: Taking taylor expansion of th in th
14.144 * [backup-simplify]: Simplify 0 into 0
14.144 * [backup-simplify]: Simplify 1 into 1
14.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.144 * [taylor]: Taking taylor expansion of 2.0 in th
14.144 * [backup-simplify]: Simplify 2.0 into 2.0
14.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.146 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.146 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.146 * [taylor]: Taking taylor expansion of 0 in th
14.146 * [backup-simplify]: Simplify 0 into 0
14.146 * [backup-simplify]: Simplify 0 into 0
14.146 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
14.146 * [taylor]: Taking taylor expansion of (cos th) in th
14.146 * [taylor]: Taking taylor expansion of th in th
14.146 * [backup-simplify]: Simplify 0 into 0
14.146 * [backup-simplify]: Simplify 1 into 1
14.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.147 * [taylor]: Taking taylor expansion of 2.0 in th
14.147 * [backup-simplify]: Simplify 2.0 into 2.0
14.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.148 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.148 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
14.148 * [backup-simplify]: Simplify 0 into 0
14.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.149 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.151 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.151 * [backup-simplify]: Simplify (- 0) into 0
14.151 * [backup-simplify]: Simplify (+ 0 0) into 0
14.152 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
14.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.152 * [backup-simplify]: Simplify (+ 0 0) into 0
14.153 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
14.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.156 * [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
14.156 * [taylor]: Taking taylor expansion of 0 in a2
14.156 * [backup-simplify]: Simplify 0 into 0
14.156 * [taylor]: Taking taylor expansion of 0 in th
14.156 * [backup-simplify]: Simplify 0 into 0
14.156 * [backup-simplify]: Simplify 0 into 0
14.156 * [backup-simplify]: Simplify (+ 0) into 0
14.156 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
14.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.157 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
14.157 * [backup-simplify]: Simplify (- 0) into 0
14.158 * [backup-simplify]: Simplify (+ 0 0) into 0
14.159 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.159 * [taylor]: Taking taylor expansion of 0 in th
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [taylor]: Taking taylor expansion of 0 in th
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.159 * [backup-simplify]: Simplify (+ 0) into 0
14.160 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
14.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.160 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
14.161 * [backup-simplify]: Simplify (- 0) into 0
14.161 * [backup-simplify]: Simplify (+ 0 0) into 0
14.161 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
14.162 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.162 * [taylor]: Taking taylor expansion of 0 in th
14.162 * [backup-simplify]: Simplify 0 into 0
14.162 * [backup-simplify]: Simplify 0 into 0
14.162 * [backup-simplify]: Simplify (+ 0) into 0
14.163 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.163 * [backup-simplify]: Simplify 0 into 0
14.165 * [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)))
14.165 * [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))
14.165 * [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
14.165 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
14.165 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
14.165 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
14.165 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.165 * [taylor]: Taking taylor expansion of th in th
14.165 * [backup-simplify]: Simplify 0 into 0
14.165 * [backup-simplify]: Simplify 1 into 1
14.165 * [backup-simplify]: Simplify (/ 1 1) into 1
14.165 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
14.165 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
14.166 * [taylor]: Taking taylor expansion of (pow a2 2) in th
14.166 * [taylor]: Taking taylor expansion of a2 in th
14.166 * [backup-simplify]: Simplify a2 into a2
14.166 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.166 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.166 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
14.166 * [taylor]: Taking taylor expansion of (pow a1 2) in th
14.166 * [taylor]: Taking taylor expansion of a1 in th
14.166 * [backup-simplify]: Simplify a1 into a1
14.166 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.166 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.166 * [taylor]: Taking taylor expansion of 2.0 in th
14.166 * [backup-simplify]: Simplify 2.0 into 2.0
14.166 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.167 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
14.168 * [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))))
14.169 * [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))
14.169 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
14.169 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
14.169 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
14.169 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
14.169 * [taylor]: Taking taylor expansion of th in a2
14.169 * [backup-simplify]: Simplify th into th
14.169 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.169 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.169 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
14.169 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.169 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.169 * [taylor]: Taking taylor expansion of a2 in a2
14.169 * [backup-simplify]: Simplify 0 into 0
14.169 * [backup-simplify]: Simplify 1 into 1
14.170 * [backup-simplify]: Simplify (* 1 1) into 1
14.170 * [backup-simplify]: Simplify (/ 1 1) into 1
14.170 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
14.170 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.170 * [taylor]: Taking taylor expansion of a1 in a2
14.171 * [backup-simplify]: Simplify a1 into a1
14.171 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.171 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.171 * [taylor]: Taking taylor expansion of 2.0 in a2
14.171 * [backup-simplify]: Simplify 2.0 into 2.0
14.171 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.177 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.177 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
14.179 * [backup-simplify]: Simplify (- 0) into 0
14.179 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
14.179 * [backup-simplify]: Simplify (+ 1 0) into 1
14.179 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.180 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.180 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
14.180 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
14.180 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
14.180 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
14.180 * [taylor]: Taking taylor expansion of th in a1
14.180 * [backup-simplify]: Simplify th into th
14.180 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.180 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.180 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.180 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.180 * [taylor]: Taking taylor expansion of a2 in a1
14.180 * [backup-simplify]: Simplify a2 into a2
14.181 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.181 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.181 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.181 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.181 * [taylor]: Taking taylor expansion of a1 in a1
14.181 * [backup-simplify]: Simplify 0 into 0
14.181 * [backup-simplify]: Simplify 1 into 1
14.181 * [backup-simplify]: Simplify (* 1 1) into 1
14.182 * [backup-simplify]: Simplify (/ 1 1) into 1
14.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.182 * [taylor]: Taking taylor expansion of 2.0 in a1
14.182 * [backup-simplify]: Simplify 2.0 into 2.0
14.182 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.183 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.183 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
14.184 * [backup-simplify]: Simplify (- 0) into 0
14.184 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
14.184 * [backup-simplify]: Simplify (+ 0 1) into 1
14.184 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.185 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.185 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
14.185 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
14.185 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
14.185 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
14.185 * [taylor]: Taking taylor expansion of th in a1
14.185 * [backup-simplify]: Simplify th into th
14.185 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.185 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.185 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.185 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.185 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.185 * [taylor]: Taking taylor expansion of a2 in a1
14.185 * [backup-simplify]: Simplify a2 into a2
14.185 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.186 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.186 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.186 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.186 * [taylor]: Taking taylor expansion of a1 in a1
14.186 * [backup-simplify]: Simplify 0 into 0
14.186 * [backup-simplify]: Simplify 1 into 1
14.186 * [backup-simplify]: Simplify (* 1 1) into 1
14.187 * [backup-simplify]: Simplify (/ 1 1) into 1
14.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.187 * [taylor]: Taking taylor expansion of 2.0 in a1
14.187 * [backup-simplify]: Simplify 2.0 into 2.0
14.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.188 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.188 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
14.189 * [backup-simplify]: Simplify (- 0) into 0
14.189 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
14.189 * [backup-simplify]: Simplify (+ 0 1) into 1
14.189 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.190 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.190 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
14.190 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
14.190 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
14.190 * [taylor]: Taking taylor expansion of th in a2
14.190 * [backup-simplify]: Simplify th into th
14.190 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.190 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.190 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.190 * [taylor]: Taking taylor expansion of 2.0 in a2
14.190 * [backup-simplify]: Simplify 2.0 into 2.0
14.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.192 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.192 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
14.192 * [backup-simplify]: Simplify (- 0) into 0
14.192 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
14.193 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.195 * [backup-simplify]: Simplify (+ 0 0) into 0
14.195 * [backup-simplify]: Simplify (+ 0) into 0
14.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
14.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
14.198 * [backup-simplify]: Simplify (- 0) into 0
14.198 * [backup-simplify]: Simplify (+ 0 0) into 0
14.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
14.200 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.201 * [taylor]: Taking taylor expansion of 0 in a2
14.201 * [backup-simplify]: Simplify 0 into 0
14.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.203 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
14.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.207 * [backup-simplify]: Simplify (- 0) into 0
14.207 * [backup-simplify]: Simplify (+ 0 0) into 0
14.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
14.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.212 * [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)))
14.212 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
14.212 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
14.212 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
14.212 * [taylor]: Taking taylor expansion of th in a2
14.212 * [backup-simplify]: Simplify th into th
14.212 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.212 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.212 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.212 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
14.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.212 * [taylor]: Taking taylor expansion of 2.0 in a2
14.212 * [backup-simplify]: Simplify 2.0 into 2.0
14.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.213 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.213 * [taylor]: Taking taylor expansion of a2 in a2
14.213 * [backup-simplify]: Simplify 0 into 0
14.214 * [backup-simplify]: Simplify 1 into 1
14.214 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
14.214 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
14.214 * [backup-simplify]: Simplify (- 0) into 0
14.214 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
14.215 * [backup-simplify]: Simplify (* 1 1) into 1
14.215 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
14.216 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.216 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
14.216 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
14.216 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.216 * [taylor]: Taking taylor expansion of th in th
14.216 * [backup-simplify]: Simplify 0 into 0
14.216 * [backup-simplify]: Simplify 1 into 1
14.217 * [backup-simplify]: Simplify (/ 1 1) into 1
14.217 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.217 * [taylor]: Taking taylor expansion of 2.0 in th
14.217 * [backup-simplify]: Simplify 2.0 into 2.0
14.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.218 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.219 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.219 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
14.219 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
14.219 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.219 * [taylor]: Taking taylor expansion of th in th
14.219 * [backup-simplify]: Simplify 0 into 0
14.219 * [backup-simplify]: Simplify 1 into 1
14.219 * [backup-simplify]: Simplify (/ 1 1) into 1
14.220 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.220 * [taylor]: Taking taylor expansion of 2.0 in th
14.220 * [backup-simplify]: Simplify 2.0 into 2.0
14.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.221 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.222 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
14.222 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
14.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.224 * [backup-simplify]: Simplify (+ 0 0) into 0
14.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.227 * [backup-simplify]: Simplify (- 0) into 0
14.227 * [backup-simplify]: Simplify (+ 0 0) into 0
14.227 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
14.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.230 * [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
14.230 * [taylor]: Taking taylor expansion of 0 in a2
14.230 * [backup-simplify]: Simplify 0 into 0
14.230 * [backup-simplify]: Simplify (+ 0) into 0
14.231 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
14.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
14.232 * [backup-simplify]: Simplify (- 0) into 0
14.232 * [backup-simplify]: Simplify (+ 0 0) into 0
14.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
14.234 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.234 * [taylor]: Taking taylor expansion of 0 in th
14.234 * [backup-simplify]: Simplify 0 into 0
14.234 * [backup-simplify]: Simplify 0 into 0
14.234 * [taylor]: Taking taylor expansion of 0 in th
14.234 * [backup-simplify]: Simplify 0 into 0
14.234 * [backup-simplify]: Simplify 0 into 0
14.234 * [backup-simplify]: Simplify (+ 0) into 0
14.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
14.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
14.236 * [backup-simplify]: Simplify (- 0) into 0
14.236 * [backup-simplify]: Simplify (+ 0 0) into 0
14.237 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.237 * [taylor]: Taking taylor expansion of 0 in th
14.237 * [backup-simplify]: Simplify 0 into 0
14.237 * [backup-simplify]: Simplify 0 into 0
14.238 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.238 * [backup-simplify]: Simplify 0 into 0
14.239 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.239 * [backup-simplify]: Simplify 0 into 0
14.239 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
14.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.241 * [backup-simplify]: Simplify (+ 0 0) into 0
14.242 * [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
14.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.244 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
14.245 * [backup-simplify]: Simplify (- 0) into 0
14.245 * [backup-simplify]: Simplify (+ 0 0) into 0
14.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
14.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.249 * [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
14.249 * [taylor]: Taking taylor expansion of 0 in a2
14.249 * [backup-simplify]: Simplify 0 into 0
14.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.252 * [backup-simplify]: Simplify (- 0) into 0
14.253 * [backup-simplify]: Simplify (+ 0 0) into 0
14.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.256 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
14.258 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.258 * [taylor]: Taking taylor expansion of 0 in th
14.258 * [backup-simplify]: Simplify 0 into 0
14.258 * [backup-simplify]: Simplify 0 into 0
14.260 * [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)))
14.261 * [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))
14.261 * [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
14.261 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
14.261 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
14.261 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
14.261 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.261 * [taylor]: Taking taylor expansion of -1 in th
14.261 * [backup-simplify]: Simplify -1 into -1
14.261 * [taylor]: Taking taylor expansion of th in th
14.261 * [backup-simplify]: Simplify 0 into 0
14.261 * [backup-simplify]: Simplify 1 into 1
14.262 * [backup-simplify]: Simplify (/ -1 1) into -1
14.262 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
14.262 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
14.262 * [taylor]: Taking taylor expansion of (pow a2 2) in th
14.262 * [taylor]: Taking taylor expansion of a2 in th
14.262 * [backup-simplify]: Simplify a2 into a2
14.262 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.262 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.262 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
14.262 * [taylor]: Taking taylor expansion of (pow a1 2) in th
14.262 * [taylor]: Taking taylor expansion of a1 in th
14.262 * [backup-simplify]: Simplify a1 into a1
14.262 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.262 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.263 * [taylor]: Taking taylor expansion of 2.0 in th
14.263 * [backup-simplify]: Simplify 2.0 into 2.0
14.263 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.264 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
14.264 * [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))))
14.265 * [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))
14.265 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
14.265 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
14.265 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
14.265 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
14.265 * [taylor]: Taking taylor expansion of -1 in a2
14.265 * [backup-simplify]: Simplify -1 into -1
14.265 * [taylor]: Taking taylor expansion of th in a2
14.265 * [backup-simplify]: Simplify th into th
14.265 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.266 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.266 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
14.266 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.266 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.266 * [taylor]: Taking taylor expansion of a2 in a2
14.266 * [backup-simplify]: Simplify 0 into 0
14.266 * [backup-simplify]: Simplify 1 into 1
14.266 * [backup-simplify]: Simplify (* 1 1) into 1
14.267 * [backup-simplify]: Simplify (/ 1 1) into 1
14.267 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
14.267 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.267 * [taylor]: Taking taylor expansion of a1 in a2
14.267 * [backup-simplify]: Simplify a1 into a1
14.267 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.267 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.267 * [taylor]: Taking taylor expansion of 2.0 in a2
14.267 * [backup-simplify]: Simplify 2.0 into 2.0
14.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.268 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.268 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
14.269 * [backup-simplify]: Simplify (- 0) into 0
14.269 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
14.269 * [backup-simplify]: Simplify (+ 1 0) into 1
14.269 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.270 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.270 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
14.270 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
14.270 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
14.270 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
14.270 * [taylor]: Taking taylor expansion of -1 in a1
14.270 * [backup-simplify]: Simplify -1 into -1
14.270 * [taylor]: Taking taylor expansion of th in a1
14.270 * [backup-simplify]: Simplify th into th
14.270 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.270 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.270 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.270 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.271 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.271 * [taylor]: Taking taylor expansion of a2 in a1
14.271 * [backup-simplify]: Simplify a2 into a2
14.271 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.271 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.271 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.271 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.271 * [taylor]: Taking taylor expansion of a1 in a1
14.271 * [backup-simplify]: Simplify 0 into 0
14.271 * [backup-simplify]: Simplify 1 into 1
14.271 * [backup-simplify]: Simplify (* 1 1) into 1
14.272 * [backup-simplify]: Simplify (/ 1 1) into 1
14.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.272 * [taylor]: Taking taylor expansion of 2.0 in a1
14.272 * [backup-simplify]: Simplify 2.0 into 2.0
14.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.273 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.273 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
14.274 * [backup-simplify]: Simplify (- 0) into 0
14.274 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
14.274 * [backup-simplify]: Simplify (+ 0 1) into 1
14.274 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.275 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.275 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
14.275 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
14.275 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
14.275 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
14.275 * [taylor]: Taking taylor expansion of -1 in a1
14.275 * [backup-simplify]: Simplify -1 into -1
14.275 * [taylor]: Taking taylor expansion of th in a1
14.275 * [backup-simplify]: Simplify th into th
14.275 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.275 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.275 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.275 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.275 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.275 * [taylor]: Taking taylor expansion of a2 in a1
14.275 * [backup-simplify]: Simplify a2 into a2
14.276 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.276 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.276 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.276 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.276 * [taylor]: Taking taylor expansion of a1 in a1
14.276 * [backup-simplify]: Simplify 0 into 0
14.276 * [backup-simplify]: Simplify 1 into 1
14.276 * [backup-simplify]: Simplify (* 1 1) into 1
14.277 * [backup-simplify]: Simplify (/ 1 1) into 1
14.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
14.277 * [taylor]: Taking taylor expansion of 2.0 in a1
14.277 * [backup-simplify]: Simplify 2.0 into 2.0
14.277 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.278 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.278 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
14.278 * [backup-simplify]: Simplify (- 0) into 0
14.279 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
14.279 * [backup-simplify]: Simplify (+ 0 1) into 1
14.279 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.280 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.280 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
14.280 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
14.280 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
14.280 * [taylor]: Taking taylor expansion of -1 in a2
14.280 * [backup-simplify]: Simplify -1 into -1
14.280 * [taylor]: Taking taylor expansion of th in a2
14.280 * [backup-simplify]: Simplify th into th
14.280 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.280 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.280 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.280 * [taylor]: Taking taylor expansion of 2.0 in a2
14.280 * [backup-simplify]: Simplify 2.0 into 2.0
14.281 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.282 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.282 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
14.283 * [backup-simplify]: Simplify (- 0) into 0
14.283 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
14.283 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.285 * [backup-simplify]: Simplify (+ 0 0) into 0
14.285 * [backup-simplify]: Simplify (+ 0) into 0
14.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
14.286 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
14.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
14.288 * [backup-simplify]: Simplify (- 0) into 0
14.288 * [backup-simplify]: Simplify (+ 0 0) into 0
14.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
14.290 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.290 * [taylor]: Taking taylor expansion of 0 in a2
14.290 * [backup-simplify]: Simplify 0 into 0
14.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.293 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
14.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.294 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.296 * [backup-simplify]: Simplify (- 0) into 0
14.297 * [backup-simplify]: Simplify (+ 0 0) into 0
14.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
14.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.301 * [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)))
14.301 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
14.301 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
14.301 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
14.301 * [taylor]: Taking taylor expansion of -1 in a2
14.302 * [backup-simplify]: Simplify -1 into -1
14.302 * [taylor]: Taking taylor expansion of th in a2
14.302 * [backup-simplify]: Simplify th into th
14.302 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.302 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.302 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.302 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
14.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
14.302 * [taylor]: Taking taylor expansion of 2.0 in a2
14.302 * [backup-simplify]: Simplify 2.0 into 2.0
14.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.303 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.303 * [taylor]: Taking taylor expansion of a2 in a2
14.303 * [backup-simplify]: Simplify 0 into 0
14.303 * [backup-simplify]: Simplify 1 into 1
14.303 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
14.303 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
14.304 * [backup-simplify]: Simplify (- 0) into 0
14.304 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
14.304 * [backup-simplify]: Simplify (* 1 1) into 1
14.305 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
14.306 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.306 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
14.306 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
14.306 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.306 * [taylor]: Taking taylor expansion of -1 in th
14.306 * [backup-simplify]: Simplify -1 into -1
14.306 * [taylor]: Taking taylor expansion of th in th
14.306 * [backup-simplify]: Simplify 0 into 0
14.306 * [backup-simplify]: Simplify 1 into 1
14.307 * [backup-simplify]: Simplify (/ -1 1) into -1
14.307 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.307 * [taylor]: Taking taylor expansion of 2.0 in th
14.307 * [backup-simplify]: Simplify 2.0 into 2.0
14.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.308 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.309 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.309 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
14.309 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
14.309 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.309 * [taylor]: Taking taylor expansion of -1 in th
14.309 * [backup-simplify]: Simplify -1 into -1
14.309 * [taylor]: Taking taylor expansion of th in th
14.309 * [backup-simplify]: Simplify 0 into 0
14.309 * [backup-simplify]: Simplify 1 into 1
14.310 * [backup-simplify]: Simplify (/ -1 1) into -1
14.310 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
14.310 * [taylor]: Taking taylor expansion of 2.0 in th
14.310 * [backup-simplify]: Simplify 2.0 into 2.0
14.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.312 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.312 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
14.312 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
14.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.321 * [backup-simplify]: Simplify (+ 0 0) into 0
14.322 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.323 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.324 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.326 * [backup-simplify]: Simplify (- 0) into 0
14.326 * [backup-simplify]: Simplify (+ 0 0) into 0
14.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
14.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.330 * [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
14.330 * [taylor]: Taking taylor expansion of 0 in a2
14.330 * [backup-simplify]: Simplify 0 into 0
14.330 * [backup-simplify]: Simplify (+ 0) into 0
14.330 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
14.330 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
14.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
14.332 * [backup-simplify]: Simplify (- 0) into 0
14.332 * [backup-simplify]: Simplify (+ 0 0) into 0
14.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.333 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
14.334 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.334 * [taylor]: Taking taylor expansion of 0 in th
14.334 * [backup-simplify]: Simplify 0 into 0
14.334 * [backup-simplify]: Simplify 0 into 0
14.334 * [taylor]: Taking taylor expansion of 0 in th
14.334 * [backup-simplify]: Simplify 0 into 0
14.334 * [backup-simplify]: Simplify 0 into 0
14.334 * [backup-simplify]: Simplify (+ 0) into 0
14.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
14.335 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
14.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
14.335 * [backup-simplify]: Simplify (- 0) into 0
14.336 * [backup-simplify]: Simplify (+ 0 0) into 0
14.337 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.337 * [taylor]: Taking taylor expansion of 0 in th
14.337 * [backup-simplify]: Simplify 0 into 0
14.337 * [backup-simplify]: Simplify 0 into 0
14.338 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.338 * [backup-simplify]: Simplify 0 into 0
14.339 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
14.339 * [backup-simplify]: Simplify 0 into 0
14.339 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
14.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.341 * [backup-simplify]: Simplify (+ 0 0) into 0
14.342 * [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
14.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.343 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.344 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
14.345 * [backup-simplify]: Simplify (- 0) into 0
14.345 * [backup-simplify]: Simplify (+ 0 0) into 0
14.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
14.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.349 * [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
14.349 * [taylor]: Taking taylor expansion of 0 in a2
14.349 * [backup-simplify]: Simplify 0 into 0
14.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.350 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.351 * [backup-simplify]: Simplify (- 0) into 0
14.352 * [backup-simplify]: Simplify (+ 0 0) into 0
14.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.354 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
14.356 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
14.356 * [taylor]: Taking taylor expansion of 0 in th
14.356 * [backup-simplify]: Simplify 0 into 0
14.356 * [backup-simplify]: Simplify 0 into 0
14.357 * [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)))
14.357 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
14.358 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
14.358 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
14.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
14.358 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.358 * [taylor]: Taking taylor expansion of a2 in a2
14.358 * [backup-simplify]: Simplify 0 into 0
14.358 * [backup-simplify]: Simplify 1 into 1
14.358 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.358 * [taylor]: Taking taylor expansion of a1 in a2
14.358 * [backup-simplify]: Simplify a1 into a1
14.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
14.358 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.358 * [taylor]: Taking taylor expansion of a2 in a1
14.358 * [backup-simplify]: Simplify a2 into a2
14.358 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.358 * [taylor]: Taking taylor expansion of a1 in a1
14.358 * [backup-simplify]: Simplify 0 into 0
14.358 * [backup-simplify]: Simplify 1 into 1
14.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
14.358 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.358 * [taylor]: Taking taylor expansion of a2 in a1
14.358 * [backup-simplify]: Simplify a2 into a2
14.358 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.358 * [taylor]: Taking taylor expansion of a1 in a1
14.358 * [backup-simplify]: Simplify 0 into 0
14.358 * [backup-simplify]: Simplify 1 into 1
14.358 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.359 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
14.359 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.359 * [taylor]: Taking taylor expansion of a2 in a2
14.359 * [backup-simplify]: Simplify 0 into 0
14.359 * [backup-simplify]: Simplify 1 into 1
14.359 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.359 * [backup-simplify]: Simplify (+ 0 0) into 0
14.359 * [taylor]: Taking taylor expansion of 0 in a2
14.359 * [backup-simplify]: Simplify 0 into 0
14.359 * [backup-simplify]: Simplify 0 into 0
14.360 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.360 * [backup-simplify]: Simplify (* 1 1) into 1
14.361 * [backup-simplify]: Simplify (+ 0 1) into 1
14.361 * [taylor]: Taking taylor expansion of 1 in a2
14.361 * [backup-simplify]: Simplify 1 into 1
14.361 * [backup-simplify]: Simplify 1 into 1
14.361 * [backup-simplify]: Simplify 0 into 0
14.361 * [backup-simplify]: Simplify (* 1 1) into 1
14.361 * [backup-simplify]: Simplify 1 into 1
14.362 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
14.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.363 * [backup-simplify]: Simplify (+ 0 0) into 0
14.363 * [taylor]: Taking taylor expansion of 0 in a2
14.363 * [backup-simplify]: Simplify 0 into 0
14.363 * [backup-simplify]: Simplify 0 into 0
14.363 * [backup-simplify]: Simplify 0 into 0
14.363 * [backup-simplify]: Simplify 0 into 0
14.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.364 * [backup-simplify]: Simplify 0 into 0
14.365 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
14.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.367 * [backup-simplify]: Simplify (+ 0 0) into 0
14.367 * [taylor]: Taking taylor expansion of 0 in a2
14.367 * [backup-simplify]: Simplify 0 into 0
14.367 * [backup-simplify]: Simplify 0 into 0
14.367 * [backup-simplify]: Simplify 0 into 0
14.367 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
14.368 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
14.368 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
14.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
14.368 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.368 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.368 * [taylor]: Taking taylor expansion of a2 in a2
14.368 * [backup-simplify]: Simplify 0 into 0
14.368 * [backup-simplify]: Simplify 1 into 1
14.368 * [backup-simplify]: Simplify (* 1 1) into 1
14.369 * [backup-simplify]: Simplify (/ 1 1) into 1
14.369 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
14.369 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.369 * [taylor]: Taking taylor expansion of a1 in a2
14.369 * [backup-simplify]: Simplify a1 into a1
14.369 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.369 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.369 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.369 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.369 * [taylor]: Taking taylor expansion of a2 in a1
14.369 * [backup-simplify]: Simplify a2 into a2
14.369 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.369 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.369 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.369 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.369 * [taylor]: Taking taylor expansion of a1 in a1
14.369 * [backup-simplify]: Simplify 0 into 0
14.369 * [backup-simplify]: Simplify 1 into 1
14.370 * [backup-simplify]: Simplify (* 1 1) into 1
14.370 * [backup-simplify]: Simplify (/ 1 1) into 1
14.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.370 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.370 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.370 * [taylor]: Taking taylor expansion of a2 in a1
14.370 * [backup-simplify]: Simplify a2 into a2
14.370 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.371 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.371 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.371 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.371 * [taylor]: Taking taylor expansion of a1 in a1
14.371 * [backup-simplify]: Simplify 0 into 0
14.371 * [backup-simplify]: Simplify 1 into 1
14.371 * [backup-simplify]: Simplify (* 1 1) into 1
14.372 * [backup-simplify]: Simplify (/ 1 1) into 1
14.372 * [backup-simplify]: Simplify (+ 0 1) into 1
14.372 * [taylor]: Taking taylor expansion of 1 in a2
14.372 * [backup-simplify]: Simplify 1 into 1
14.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.374 * [backup-simplify]: Simplify (+ 0 0) into 0
14.374 * [taylor]: Taking taylor expansion of 0 in a2
14.374 * [backup-simplify]: Simplify 0 into 0
14.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.376 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
14.376 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.376 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.376 * [taylor]: Taking taylor expansion of a2 in a2
14.376 * [backup-simplify]: Simplify 0 into 0
14.376 * [backup-simplify]: Simplify 1 into 1
14.377 * [backup-simplify]: Simplify (* 1 1) into 1
14.377 * [backup-simplify]: Simplify (/ 1 1) into 1
14.377 * [backup-simplify]: Simplify 1 into 1
14.377 * [backup-simplify]: Simplify 1 into 1
14.377 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
14.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.380 * [backup-simplify]: Simplify (+ 0 0) into 0
14.380 * [taylor]: Taking taylor expansion of 0 in a2
14.380 * [backup-simplify]: Simplify 0 into 0
14.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.382 * [backup-simplify]: Simplify 0 into 0
14.382 * [backup-simplify]: Simplify 0 into 0
14.382 * [backup-simplify]: Simplify 0 into 0
14.383 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
14.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.386 * [backup-simplify]: Simplify (+ 0 0) into 0
14.386 * [taylor]: Taking taylor expansion of 0 in a2
14.386 * [backup-simplify]: Simplify 0 into 0
14.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.388 * [backup-simplify]: Simplify 0 into 0
14.388 * [backup-simplify]: Simplify 0 into 0
14.388 * [backup-simplify]: Simplify 0 into 0
14.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
14.389 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
14.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
14.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
14.389 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.389 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.389 * [taylor]: Taking taylor expansion of a2 in a2
14.389 * [backup-simplify]: Simplify 0 into 0
14.389 * [backup-simplify]: Simplify 1 into 1
14.389 * [backup-simplify]: Simplify (* 1 1) into 1
14.390 * [backup-simplify]: Simplify (/ 1 1) into 1
14.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
14.390 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
14.390 * [taylor]: Taking taylor expansion of a1 in a2
14.390 * [backup-simplify]: Simplify a1 into a1
14.390 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
14.390 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
14.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.390 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.390 * [taylor]: Taking taylor expansion of a2 in a1
14.390 * [backup-simplify]: Simplify a2 into a2
14.390 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.390 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.390 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.390 * [taylor]: Taking taylor expansion of a1 in a1
14.390 * [backup-simplify]: Simplify 0 into 0
14.390 * [backup-simplify]: Simplify 1 into 1
14.391 * [backup-simplify]: Simplify (* 1 1) into 1
14.391 * [backup-simplify]: Simplify (/ 1 1) into 1
14.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
14.391 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
14.391 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
14.391 * [taylor]: Taking taylor expansion of a2 in a1
14.391 * [backup-simplify]: Simplify a2 into a2
14.391 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
14.391 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
14.391 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
14.391 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
14.391 * [taylor]: Taking taylor expansion of a1 in a1
14.391 * [backup-simplify]: Simplify 0 into 0
14.391 * [backup-simplify]: Simplify 1 into 1
14.391 * [backup-simplify]: Simplify (* 1 1) into 1
14.392 * [backup-simplify]: Simplify (/ 1 1) into 1
14.392 * [backup-simplify]: Simplify (+ 0 1) into 1
14.392 * [taylor]: Taking taylor expansion of 1 in a2
14.392 * [backup-simplify]: Simplify 1 into 1
14.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.393 * [backup-simplify]: Simplify (+ 0 0) into 0
14.393 * [taylor]: Taking taylor expansion of 0 in a2
14.393 * [backup-simplify]: Simplify 0 into 0
14.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.394 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
14.394 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
14.394 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
14.394 * [taylor]: Taking taylor expansion of a2 in a2
14.394 * [backup-simplify]: Simplify 0 into 0
14.394 * [backup-simplify]: Simplify 1 into 1
14.395 * [backup-simplify]: Simplify (* 1 1) into 1
14.395 * [backup-simplify]: Simplify (/ 1 1) into 1
14.395 * [backup-simplify]: Simplify 1 into 1
14.395 * [backup-simplify]: Simplify 1 into 1
14.395 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
14.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
14.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.397 * [backup-simplify]: Simplify (+ 0 0) into 0
14.397 * [taylor]: Taking taylor expansion of 0 in a2
14.397 * [backup-simplify]: Simplify 0 into 0
14.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.398 * [backup-simplify]: Simplify 0 into 0
14.398 * [backup-simplify]: Simplify 0 into 0
14.398 * [backup-simplify]: Simplify 0 into 0
14.398 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
14.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
14.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.400 * [backup-simplify]: Simplify (+ 0 0) into 0
14.400 * [taylor]: Taking taylor expansion of 0 in a2
14.400 * [backup-simplify]: Simplify 0 into 0
14.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
14.401 * * * [progress]: simplifying candidates
14.403 * [simplify]: Simplifying:
  (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2.0)))
  (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (sqrt 2.0))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 1))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (+ (* a1 a1) (* a2 a2)))
  (* (sqrt 2.0) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (* (sqrt 2.0) (- (* a1 a1) (* a2 a2)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th))
  (+ (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt 2.0))) (log (cos th)))
  (+ (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (log (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)) (sqrt 2.0)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (* (* (cos th) (cos th)) (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)))
  (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (sqrt (cos th)))
  (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (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)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (sqrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) 1)
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (cos th))
  (* (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (cbrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (* (+ (* a1 a1) (* a2 a2)) (cos th))
  (* (exp (* a1 a1)) (exp (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
  (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (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)))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
14.404 * * [simplify]: iteration 0: 139 enodes
14.432 * * [simplify]: iteration 1: 365 enodes
14.595 * * [simplify]: iteration 2: 1997 enodes
15.326 * * [simplify]: iteration complete: 5002 enodes
15.326 * * [simplify]: Extracting #0: cost 78 inf + 0
15.328 * * [simplify]: Extracting #1: cost 567 inf + 1
15.336 * * [simplify]: Extracting #2: cost 1673 inf + 586
15.348 * * [simplify]: Extracting #3: cost 1816 inf + 17036
15.369 * * [simplify]: Extracting #4: cost 915 inf + 137079
15.419 * * [simplify]: Extracting #5: cost 194 inf + 315395
15.531 * * [simplify]: Extracting #6: cost 15 inf + 353245
15.597 * * [simplify]: Extracting #7: cost 0 inf + 356888
15.679 * [simplify]: Simplified to:
  (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (log (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (exp (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (* (/ (+ (* a2 a2) (* a1 a1)) 2.0) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))))
  (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (* (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (- (* a1 (- a1)) (* a2 a2))
  (- (sqrt 2.0))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (* (/ (cbrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  1
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  1
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (+ (* a2 a2) (* a1 a1)))
  (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (sqrt 2.0) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (+ (* a2 a2) (* a1 a1)))
  (* (sqrt 2.0) (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
  (* (* (sqrt 2.0) (+ a1 a2)) (- a1 a2))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (log (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (log (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (log (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (exp (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (* (/ (* (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (sqrt 2.0) (/ 2.0 (+ (* a2 a2) (* a1 a1))))) (cos th))
  (* (/ (* (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))))
  (* (cbrt (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (cbrt (/ (* (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) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (sqrt (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (sqrt (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))) (sqrt (cos th)))
  (* (sqrt (/ (+ (* a2 a2) (* a1 a1)) (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))) (sqrt (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)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (sqrt (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))
  (* (cos th) (cbrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))))
  (* (cos th) (sqrt (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)) (sqrt (sqrt 2.0)))
  (/ (cbrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt 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))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt (cbrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (exp (+ (* a2 a2) (* a1 a1)))
  (log (+ (* a2 a2) (* a1 a1)))
  (exp (+ (* a2 a2) (* a1 a1)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (cbrt (+ (* a2 a2) (* a1 a1)))
  (* (+ (* a2 a2) (* a1 a1)) (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
  (* (+ (* a1 a1) (* a2 a2)) (- (* a1 a1) (* a2 a2)))
  (* (+ a1 a2) (- a1 a2))
  (+ (/ a1 (/ (sqrt 2.0) a1)) (/ (* a2 a2) (sqrt 2.0)))
  (+ (/ a1 (/ (sqrt 2.0) a1)) (/ (* a2 a2) (sqrt 2.0)))
  (+ (/ a1 (/ (sqrt 2.0) a1)) (/ (* a2 a2) (sqrt 2.0)))
  (+ (/ a1 (/ (sqrt 2.0) a1)) (/ (* a2 a2) (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)))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
15.693 * * * [progress]: adding candidates to table
16.632 * * [progress]: iteration 4 / 4
16.632 * * * [progress]: picking best candidate
16.662 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))>
16.662 * * * [progress]: localizing error
16.715 * * * [progress]: generating rewritten candidates
16.715 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
16.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
16.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
17.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
17.973 * * * [progress]: generating series expansions
17.973 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
17.975 * [backup-simplify]: Simplify (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (+ (pow a2 2) (pow a1 2)) (cos th)))
17.975 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in (a1 a2 th) around 0
17.975 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in th
17.975 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
17.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
17.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
17.975 * [taylor]: Taking taylor expansion of 1/3 in th
17.975 * [backup-simplify]: Simplify 1/3 into 1/3
17.975 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
17.975 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
17.975 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
17.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
17.975 * [taylor]: Taking taylor expansion of 2.0 in th
17.975 * [backup-simplify]: Simplify 2.0 into 2.0
17.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
17.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
17.977 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
17.978 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
17.979 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
17.981 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
17.984 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
17.984 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
17.984 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
17.984 * [taylor]: Taking taylor expansion of (pow a2 2) in th
17.984 * [taylor]: Taking taylor expansion of a2 in th
17.984 * [backup-simplify]: Simplify a2 into a2
17.984 * [taylor]: Taking taylor expansion of (pow a1 2) in th
17.984 * [taylor]: Taking taylor expansion of a1 in th
17.984 * [backup-simplify]: Simplify a1 into a1
17.984 * [taylor]: Taking taylor expansion of (cos th) in th
17.984 * [taylor]: Taking taylor expansion of th in th
17.984 * [backup-simplify]: Simplify 0 into 0
17.984 * [backup-simplify]: Simplify 1 into 1
17.984 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a2
17.984 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
17.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
17.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
17.984 * [taylor]: Taking taylor expansion of 1/3 in a2
17.984 * [backup-simplify]: Simplify 1/3 into 1/3
17.984 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
17.984 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
17.984 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
17.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
17.984 * [taylor]: Taking taylor expansion of 2.0 in a2
17.984 * [backup-simplify]: Simplify 2.0 into 2.0
17.985 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
17.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
17.986 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
17.987 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
17.988 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
17.991 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
17.993 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
17.993 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
17.993 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
17.993 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
17.993 * [taylor]: Taking taylor expansion of a2 in a2
17.993 * [backup-simplify]: Simplify 0 into 0
17.993 * [backup-simplify]: Simplify 1 into 1
17.994 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
17.994 * [taylor]: Taking taylor expansion of a1 in a2
17.994 * [backup-simplify]: Simplify a1 into a1
17.994 * [taylor]: Taking taylor expansion of (cos th) in a2
17.994 * [taylor]: Taking taylor expansion of th in a2
17.994 * [backup-simplify]: Simplify th into th
17.994 * [backup-simplify]: Simplify (cos th) into (cos th)
17.994 * [backup-simplify]: Simplify (sin th) into (sin th)
17.994 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a1
17.994 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
17.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
17.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
17.994 * [taylor]: Taking taylor expansion of 1/3 in a1
17.994 * [backup-simplify]: Simplify 1/3 into 1/3
17.994 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
17.994 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
17.994 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
17.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
17.994 * [taylor]: Taking taylor expansion of 2.0 in a1
17.994 * [backup-simplify]: Simplify 2.0 into 2.0
17.994 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
17.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
17.995 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
17.996 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
17.998 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.000 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.003 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.003 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
18.003 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
18.004 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.004 * [taylor]: Taking taylor expansion of a2 in a1
18.004 * [backup-simplify]: Simplify a2 into a2
18.004 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.004 * [taylor]: Taking taylor expansion of a1 in a1
18.004 * [backup-simplify]: Simplify 0 into 0
18.004 * [backup-simplify]: Simplify 1 into 1
18.004 * [taylor]: Taking taylor expansion of (cos th) in a1
18.004 * [taylor]: Taking taylor expansion of th in a1
18.004 * [backup-simplify]: Simplify th into th
18.004 * [backup-simplify]: Simplify (cos th) into (cos th)
18.004 * [backup-simplify]: Simplify (sin th) into (sin th)
18.004 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a1
18.004 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
18.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
18.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
18.004 * [taylor]: Taking taylor expansion of 1/3 in a1
18.004 * [backup-simplify]: Simplify 1/3 into 1/3
18.004 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
18.004 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
18.004 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
18.004 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.004 * [taylor]: Taking taylor expansion of 2.0 in a1
18.004 * [backup-simplify]: Simplify 2.0 into 2.0
18.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.007 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.017 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.020 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.024 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.029 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.029 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
18.029 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
18.029 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.029 * [taylor]: Taking taylor expansion of a2 in a1
18.029 * [backup-simplify]: Simplify a2 into a2
18.029 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.029 * [taylor]: Taking taylor expansion of a1 in a1
18.029 * [backup-simplify]: Simplify 0 into 0
18.029 * [backup-simplify]: Simplify 1 into 1
18.029 * [taylor]: Taking taylor expansion of (cos th) in a1
18.029 * [taylor]: Taking taylor expansion of th in a1
18.029 * [backup-simplify]: Simplify th into th
18.029 * [backup-simplify]: Simplify (cos th) into (cos th)
18.029 * [backup-simplify]: Simplify (sin th) into (sin th)
18.029 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.030 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
18.030 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
18.030 * [backup-simplify]: Simplify (* (sin th) 0) into 0
18.030 * [backup-simplify]: Simplify (- 0) into 0
18.030 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
18.030 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
18.034 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2)))
18.034 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2))) in a2
18.034 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.034 * [taylor]: Taking taylor expansion of 1/3 in a2
18.034 * [backup-simplify]: Simplify 1/3 into 1/3
18.034 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.034 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.034 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.034 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.034 * [taylor]: Taking taylor expansion of 2.0 in a2
18.034 * [backup-simplify]: Simplify 2.0 into 2.0
18.034 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.036 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.037 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.038 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.040 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.043 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.043 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
18.043 * [taylor]: Taking taylor expansion of (cos th) in a2
18.043 * [taylor]: Taking taylor expansion of th in a2
18.043 * [backup-simplify]: Simplify th into th
18.043 * [backup-simplify]: Simplify (cos th) into (cos th)
18.043 * [backup-simplify]: Simplify (sin th) into (sin th)
18.043 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.043 * [taylor]: Taking taylor expansion of a2 in a2
18.043 * [backup-simplify]: Simplify 0 into 0
18.043 * [backup-simplify]: Simplify 1 into 1
18.044 * [backup-simplify]: Simplify (+ 0) into 0
18.044 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
18.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.045 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
18.045 * [backup-simplify]: Simplify (- 0) into 0
18.045 * [backup-simplify]: Simplify (+ 0 0) into 0
18.045 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
18.045 * [backup-simplify]: Simplify (+ 0 0) into 0
18.045 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
18.046 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.049 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.051 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (* (cos th) (pow a2 2)))) into 0
18.051 * [taylor]: Taking taylor expansion of 0 in a2
18.051 * [backup-simplify]: Simplify 0 into 0
18.051 * [taylor]: Taking taylor expansion of 0 in th
18.051 * [backup-simplify]: Simplify 0 into 0
18.051 * [backup-simplify]: Simplify 0 into 0
18.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
18.052 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
18.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
18.053 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
18.053 * [backup-simplify]: Simplify (- 0) into 0
18.054 * [backup-simplify]: Simplify (+ 0 0) into 0
18.054 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
18.054 * [backup-simplify]: Simplify (* 1 1) into 1
18.054 * [backup-simplify]: Simplify (+ 0 1) into 1
18.055 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
18.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.056 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
18.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
18.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
18.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.064 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th)) (+ (* 0 0) (* 0 (* (cos th) (pow a2 2))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th))
18.064 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th)) in a2
18.064 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.064 * [taylor]: Taking taylor expansion of 1/3 in a2
18.064 * [backup-simplify]: Simplify 1/3 into 1/3
18.064 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.064 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.064 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.064 * [taylor]: Taking taylor expansion of 2.0 in a2
18.064 * [backup-simplify]: Simplify 2.0 into 2.0
18.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.065 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.067 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.069 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.073 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.078 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.078 * [taylor]: Taking taylor expansion of (cos th) in a2
18.078 * [taylor]: Taking taylor expansion of th in a2
18.078 * [backup-simplify]: Simplify th into th
18.078 * [backup-simplify]: Simplify (cos th) into (cos th)
18.078 * [backup-simplify]: Simplify (sin th) into (sin th)
18.078 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
18.078 * [backup-simplify]: Simplify (* (sin th) 0) into 0
18.078 * [backup-simplify]: Simplify (- 0) into 0
18.079 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
18.081 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th)) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th))
18.081 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th)) in th
18.081 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.082 * [taylor]: Taking taylor expansion of 1/3 in th
18.082 * [backup-simplify]: Simplify 1/3 into 1/3
18.082 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.082 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.082 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.082 * [taylor]: Taking taylor expansion of 2.0 in th
18.082 * [backup-simplify]: Simplify 2.0 into 2.0
18.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.084 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.086 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.088 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.092 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.097 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.097 * [taylor]: Taking taylor expansion of (cos th) in th
18.097 * [taylor]: Taking taylor expansion of th in th
18.097 * [backup-simplify]: Simplify 0 into 0
18.097 * [backup-simplify]: Simplify 1 into 1
18.101 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 1) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.104 * [backup-simplify]: Simplify (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.104 * [taylor]: Taking taylor expansion of 0 in th
18.104 * [backup-simplify]: Simplify 0 into 0
18.104 * [backup-simplify]: Simplify 0 into 0
18.104 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
18.104 * [backup-simplify]: Simplify (* (sin th) 0) into 0
18.105 * [backup-simplify]: Simplify (- 0) into 0
18.105 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
18.105 * [backup-simplify]: Simplify (* 1 1) into 1
18.105 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
18.108 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th)) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th))
18.108 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos th)) in th
18.108 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.108 * [taylor]: Taking taylor expansion of 1/3 in th
18.108 * [backup-simplify]: Simplify 1/3 into 1/3
18.108 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.108 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.108 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.108 * [taylor]: Taking taylor expansion of 2.0 in th
18.108 * [backup-simplify]: Simplify 2.0 into 2.0
18.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.111 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.112 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.115 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.119 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.124 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.124 * [taylor]: Taking taylor expansion of (cos th) in th
18.124 * [taylor]: Taking taylor expansion of th in th
18.124 * [backup-simplify]: Simplify 0 into 0
18.124 * [backup-simplify]: Simplify 1 into 1
18.128 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 1) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.130 * [backup-simplify]: Simplify (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.130 * [backup-simplify]: Simplify 0 into 0
18.131 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
18.132 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
18.135 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
18.135 * [backup-simplify]: Simplify (- 0) into 0
18.136 * [backup-simplify]: Simplify (+ 0 0) into 0
18.137 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
18.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.140 * [backup-simplify]: Simplify (+ 0 0) into 0
18.141 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
18.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
18.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.152 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 6) into 0
18.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))))) into 0
18.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.160 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 (cos th)) (+ (* 0 0) (* 0 (* (cos th) (pow a2 2)))))) into 0
18.160 * [taylor]: Taking taylor expansion of 0 in a2
18.160 * [backup-simplify]: Simplify 0 into 0
18.160 * [taylor]: Taking taylor expansion of 0 in th
18.160 * [backup-simplify]: Simplify 0 into 0
18.160 * [backup-simplify]: Simplify 0 into 0
18.160 * [backup-simplify]: Simplify (+ 0) into 0
18.161 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
18.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.162 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
18.162 * [backup-simplify]: Simplify (- 0) into 0
18.163 * [backup-simplify]: Simplify (+ 0 0) into 0
18.164 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.172 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos th))) into 0
18.173 * [taylor]: Taking taylor expansion of 0 in th
18.173 * [backup-simplify]: Simplify 0 into 0
18.173 * [backup-simplify]: Simplify 0 into 0
18.173 * [taylor]: Taking taylor expansion of 0 in th
18.173 * [backup-simplify]: Simplify 0 into 0
18.173 * [backup-simplify]: Simplify 0 into 0
18.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.174 * [backup-simplify]: Simplify (+ 0) into 0
18.174 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
18.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.175 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
18.175 * [backup-simplify]: Simplify (- 0) into 0
18.175 * [backup-simplify]: Simplify (+ 0 0) into 0
18.176 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
18.176 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.181 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos th))) into 0
18.181 * [taylor]: Taking taylor expansion of 0 in th
18.181 * [backup-simplify]: Simplify 0 into 0
18.181 * [backup-simplify]: Simplify 0 into 0
18.181 * [backup-simplify]: Simplify (+ 0) into 0
18.182 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.186 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.187 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 1)) into 0
18.187 * [backup-simplify]: Simplify 0 into 0
18.190 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (pow (* 1 (* a2 1)) 2)) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (pow (* 1 (* 1 a1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (pow a1 2)) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (pow a2 2)))
18.192 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos (/ 1 th)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
18.192 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a1 a2 th) around 0
18.192 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
18.192 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.192 * [taylor]: Taking taylor expansion of 1/3 in th
18.192 * [backup-simplify]: Simplify 1/3 into 1/3
18.192 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.192 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.192 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.192 * [taylor]: Taking taylor expansion of 2.0 in th
18.192 * [backup-simplify]: Simplify 2.0 into 2.0
18.192 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.193 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.194 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.196 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.198 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.203 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.203 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
18.203 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
18.203 * [taylor]: Taking taylor expansion of (/ 1 th) in th
18.203 * [taylor]: Taking taylor expansion of th in th
18.203 * [backup-simplify]: Simplify 0 into 0
18.203 * [backup-simplify]: Simplify 1 into 1
18.203 * [backup-simplify]: Simplify (/ 1 1) into 1
18.203 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
18.203 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
18.203 * [taylor]: Taking taylor expansion of (pow a2 2) in th
18.203 * [taylor]: Taking taylor expansion of a2 in th
18.203 * [backup-simplify]: Simplify a2 into a2
18.203 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.203 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.203 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
18.203 * [taylor]: Taking taylor expansion of (pow a1 2) in th
18.203 * [taylor]: Taking taylor expansion of a1 in th
18.203 * [backup-simplify]: Simplify a1 into a1
18.203 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
18.203 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
18.203 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
18.203 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.204 * [taylor]: Taking taylor expansion of 1/3 in a2
18.204 * [backup-simplify]: Simplify 1/3 into 1/3
18.204 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.204 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.204 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.204 * [taylor]: Taking taylor expansion of 2.0 in a2
18.204 * [backup-simplify]: Simplify 2.0 into 2.0
18.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.205 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.206 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.208 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.210 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.212 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.212 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
18.212 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
18.212 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
18.212 * [taylor]: Taking taylor expansion of th in a2
18.212 * [backup-simplify]: Simplify th into th
18.213 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
18.213 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.213 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
18.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
18.213 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
18.213 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.213 * [taylor]: Taking taylor expansion of a2 in a2
18.213 * [backup-simplify]: Simplify 0 into 0
18.213 * [backup-simplify]: Simplify 1 into 1
18.213 * [backup-simplify]: Simplify (* 1 1) into 1
18.213 * [backup-simplify]: Simplify (/ 1 1) into 1
18.213 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
18.213 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
18.213 * [taylor]: Taking taylor expansion of a1 in a2
18.213 * [backup-simplify]: Simplify a1 into a1
18.213 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
18.213 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
18.213 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
18.213 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
18.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
18.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
18.214 * [taylor]: Taking taylor expansion of 1/3 in a1
18.214 * [backup-simplify]: Simplify 1/3 into 1/3
18.214 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
18.214 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
18.214 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
18.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.214 * [taylor]: Taking taylor expansion of 2.0 in a1
18.214 * [backup-simplify]: Simplify 2.0 into 2.0
18.214 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.215 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.216 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.218 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.220 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.223 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.223 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.223 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
18.223 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
18.223 * [taylor]: Taking taylor expansion of th in a1
18.223 * [backup-simplify]: Simplify th into th
18.223 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
18.223 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.223 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
18.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.223 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.223 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.223 * [taylor]: Taking taylor expansion of a2 in a1
18.223 * [backup-simplify]: Simplify a2 into a2
18.223 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.223 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.223 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.223 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.223 * [taylor]: Taking taylor expansion of a1 in a1
18.223 * [backup-simplify]: Simplify 0 into 0
18.223 * [backup-simplify]: Simplify 1 into 1
18.223 * [backup-simplify]: Simplify (* 1 1) into 1
18.224 * [backup-simplify]: Simplify (/ 1 1) into 1
18.224 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
18.224 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
18.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
18.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
18.224 * [taylor]: Taking taylor expansion of 1/3 in a1
18.224 * [backup-simplify]: Simplify 1/3 into 1/3
18.224 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
18.224 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
18.224 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
18.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.224 * [taylor]: Taking taylor expansion of 2.0 in a1
18.224 * [backup-simplify]: Simplify 2.0 into 2.0
18.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.225 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.227 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.228 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.230 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.235 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.235 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.236 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
18.236 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
18.236 * [taylor]: Taking taylor expansion of th in a1
18.236 * [backup-simplify]: Simplify th into th
18.236 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
18.236 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.236 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
18.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.236 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.236 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.236 * [taylor]: Taking taylor expansion of a2 in a1
18.236 * [backup-simplify]: Simplify a2 into a2
18.236 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.236 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.236 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.236 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.236 * [taylor]: Taking taylor expansion of a1 in a1
18.236 * [backup-simplify]: Simplify 0 into 0
18.236 * [backup-simplify]: Simplify 1 into 1
18.237 * [backup-simplify]: Simplify (* 1 1) into 1
18.237 * [backup-simplify]: Simplify (/ 1 1) into 1
18.237 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
18.238 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
18.238 * [backup-simplify]: Simplify (- 0) into 0
18.238 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
18.238 * [backup-simplify]: Simplify (+ 0 1) into 1
18.239 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
18.241 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.241 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) in a2
18.241 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.242 * [taylor]: Taking taylor expansion of 1/3 in a2
18.242 * [backup-simplify]: Simplify 1/3 into 1/3
18.242 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.242 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.242 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.242 * [taylor]: Taking taylor expansion of 2.0 in a2
18.242 * [backup-simplify]: Simplify 2.0 into 2.0
18.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.244 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.246 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.248 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.255 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.259 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.259 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
18.259 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
18.259 * [taylor]: Taking taylor expansion of th in a2
18.259 * [backup-simplify]: Simplify th into th
18.259 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
18.259 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.259 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
18.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.260 * [backup-simplify]: Simplify (+ 0 0) into 0
18.261 * [backup-simplify]: Simplify (+ 0) into 0
18.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
18.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
18.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
18.262 * [backup-simplify]: Simplify (- 0) into 0
18.262 * [backup-simplify]: Simplify (+ 0 0) into 0
18.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
18.263 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.267 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.268 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ 1 th)))) into 0
18.268 * [taylor]: Taking taylor expansion of 0 in a2
18.268 * [backup-simplify]: Simplify 0 into 0
18.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.270 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
18.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
18.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
18.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
18.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
18.272 * [backup-simplify]: Simplify (- 0) into 0
18.272 * [backup-simplify]: Simplify (+ 0 0) into 0
18.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
18.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
18.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
18.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
18.279 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.281 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (pow a2 2)))
18.281 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (pow a2 2))) in a2
18.281 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.281 * [taylor]: Taking taylor expansion of 1/3 in a2
18.281 * [backup-simplify]: Simplify 1/3 into 1/3
18.281 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.281 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.281 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.282 * [taylor]: Taking taylor expansion of 2.0 in a2
18.282 * [backup-simplify]: Simplify 2.0 into 2.0
18.282 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.283 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.284 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.285 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.288 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.290 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.290 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
18.290 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
18.291 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
18.291 * [taylor]: Taking taylor expansion of th in a2
18.291 * [backup-simplify]: Simplify th into th
18.291 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
18.291 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.291 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
18.291 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.291 * [taylor]: Taking taylor expansion of a2 in a2
18.291 * [backup-simplify]: Simplify 0 into 0
18.291 * [backup-simplify]: Simplify 1 into 1
18.291 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
18.291 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
18.291 * [backup-simplify]: Simplify (- 0) into 0
18.291 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
18.291 * [backup-simplify]: Simplify (* 1 1) into 1
18.291 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
18.293 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.293 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) in th
18.293 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.293 * [taylor]: Taking taylor expansion of 1/3 in th
18.293 * [backup-simplify]: Simplify 1/3 into 1/3
18.293 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.293 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.293 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.293 * [taylor]: Taking taylor expansion of 2.0 in th
18.293 * [backup-simplify]: Simplify 2.0 into 2.0
18.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.295 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.296 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.297 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.299 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.302 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.303 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
18.303 * [taylor]: Taking taylor expansion of (/ 1 th) in th
18.303 * [taylor]: Taking taylor expansion of th in th
18.303 * [backup-simplify]: Simplify 0 into 0
18.303 * [backup-simplify]: Simplify 1 into 1
18.303 * [backup-simplify]: Simplify (/ 1 1) into 1
18.303 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.305 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.306 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.306 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
18.306 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
18.307 * [backup-simplify]: Simplify (- 0) into 0
18.307 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
18.308 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.308 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) in th
18.308 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.308 * [taylor]: Taking taylor expansion of 1/3 in th
18.308 * [backup-simplify]: Simplify 1/3 into 1/3
18.308 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.308 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.308 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.308 * [taylor]: Taking taylor expansion of 2.0 in th
18.308 * [backup-simplify]: Simplify 2.0 into 2.0
18.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.310 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.311 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.312 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.315 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.318 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.318 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
18.318 * [taylor]: Taking taylor expansion of (/ 1 th) in th
18.318 * [taylor]: Taking taylor expansion of th in th
18.318 * [backup-simplify]: Simplify 0 into 0
18.318 * [backup-simplify]: Simplify 1 into 1
18.318 * [backup-simplify]: Simplify (/ 1 1) into 1
18.318 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
18.320 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.321 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 th)))
18.321 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
18.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
18.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.323 * [backup-simplify]: Simplify (+ 0 0) into 0
18.324 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
18.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
18.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
18.326 * [backup-simplify]: Simplify (- 0) into 0
18.326 * [backup-simplify]: Simplify (+ 0 0) into 0
18.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
18.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
18.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.333 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 6) into 0
18.334 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))))) into 0
18.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.340 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 (/ (cos (/ 1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ 1 th)))))) into 0
18.340 * [taylor]: Taking taylor expansion of 0 in a2
18.340 * [backup-simplify]: Simplify 0 into 0
18.340 * [backup-simplify]: Simplify (+ 0) into 0
18.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
18.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
18.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
18.342 * [backup-simplify]: Simplify (- 0) into 0
18.343 * [backup-simplify]: Simplify (+ 0 0) into 0
18.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
18.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.356 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.357 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ 1 th)))) into 0
18.357 * [taylor]: Taking taylor expansion of 0 in th
18.357 * [backup-simplify]: Simplify 0 into 0
18.357 * [backup-simplify]: Simplify 0 into 0
18.357 * [taylor]: Taking taylor expansion of 0 in th
18.357 * [backup-simplify]: Simplify 0 into 0
18.357 * [backup-simplify]: Simplify 0 into 0
18.358 * [backup-simplify]: Simplify (+ 0) into 0
18.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
18.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
18.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
18.360 * [backup-simplify]: Simplify (- 0) into 0
18.361 * [backup-simplify]: Simplify (+ 0 0) into 0
18.361 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.371 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ 1 th)))) into 0
18.371 * [taylor]: Taking taylor expansion of 0 in th
18.371 * [backup-simplify]: Simplify 0 into 0
18.371 * [backup-simplify]: Simplify 0 into 0
18.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.379 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.380 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ 1 th)))) into 0
18.380 * [backup-simplify]: Simplify 0 into 0
18.381 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.389 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.390 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ 1 th)))) into 0
18.390 * [backup-simplify]: Simplify 0 into 0
18.391 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
18.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
18.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.394 * [backup-simplify]: Simplify (+ 0 0) into 0
18.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
18.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.399 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
18.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
18.400 * [backup-simplify]: Simplify (- 0) into 0
18.401 * [backup-simplify]: Simplify (+ 0 0) into 0
18.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
18.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.405 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
18.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.420 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2.0) 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 24) into 0
18.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))))) into 0
18.428 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.430 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ 1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ 1 th))))))) into 0
18.430 * [taylor]: Taking taylor expansion of 0 in a2
18.431 * [backup-simplify]: Simplify 0 into 0
18.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
18.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
18.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
18.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
18.435 * [backup-simplify]: Simplify (- 0) into 0
18.435 * [backup-simplify]: Simplify (+ 0 0) into 0
18.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.440 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
18.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
18.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
18.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.452 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
18.452 * [taylor]: Taking taylor expansion of 0 in th
18.452 * [backup-simplify]: Simplify 0 into 0
18.452 * [backup-simplify]: Simplify 0 into 0
18.455 * [backup-simplify]: Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 (/ 1 th)))) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ 1 (/ 1 th)))) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (pow a1 2) (cos th))))
18.457 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos (/ 1 (- th))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
18.457 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a1 a2 th) around 0
18.457 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
18.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.457 * [taylor]: Taking taylor expansion of 1/3 in th
18.457 * [backup-simplify]: Simplify 1/3 into 1/3
18.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.457 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.457 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.457 * [taylor]: Taking taylor expansion of 2.0 in th
18.457 * [backup-simplify]: Simplify 2.0 into 2.0
18.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.459 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.460 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.461 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.464 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.466 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.466 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
18.466 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
18.466 * [taylor]: Taking taylor expansion of (/ -1 th) in th
18.466 * [taylor]: Taking taylor expansion of -1 in th
18.467 * [backup-simplify]: Simplify -1 into -1
18.467 * [taylor]: Taking taylor expansion of th in th
18.467 * [backup-simplify]: Simplify 0 into 0
18.467 * [backup-simplify]: Simplify 1 into 1
18.467 * [backup-simplify]: Simplify (/ -1 1) into -1
18.467 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
18.467 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
18.467 * [taylor]: Taking taylor expansion of (pow a2 2) in th
18.467 * [taylor]: Taking taylor expansion of a2 in th
18.467 * [backup-simplify]: Simplify a2 into a2
18.467 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.467 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.467 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
18.467 * [taylor]: Taking taylor expansion of (pow a1 2) in th
18.467 * [taylor]: Taking taylor expansion of a1 in th
18.467 * [backup-simplify]: Simplify a1 into a1
18.467 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
18.467 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
18.467 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
18.467 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.467 * [taylor]: Taking taylor expansion of 1/3 in a2
18.467 * [backup-simplify]: Simplify 1/3 into 1/3
18.467 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.467 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.467 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.468 * [taylor]: Taking taylor expansion of 2.0 in a2
18.468 * [backup-simplify]: Simplify 2.0 into 2.0
18.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.469 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.470 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.471 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.474 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.477 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.477 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
18.477 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
18.477 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
18.477 * [taylor]: Taking taylor expansion of -1 in a2
18.477 * [backup-simplify]: Simplify -1 into -1
18.477 * [taylor]: Taking taylor expansion of th in a2
18.477 * [backup-simplify]: Simplify th into th
18.477 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
18.477 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.477 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
18.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
18.477 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
18.477 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.477 * [taylor]: Taking taylor expansion of a2 in a2
18.477 * [backup-simplify]: Simplify 0 into 0
18.477 * [backup-simplify]: Simplify 1 into 1
18.477 * [backup-simplify]: Simplify (* 1 1) into 1
18.478 * [backup-simplify]: Simplify (/ 1 1) into 1
18.478 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
18.478 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
18.478 * [taylor]: Taking taylor expansion of a1 in a2
18.478 * [backup-simplify]: Simplify a1 into a1
18.478 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
18.478 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
18.478 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
18.478 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
18.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
18.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
18.478 * [taylor]: Taking taylor expansion of 1/3 in a1
18.478 * [backup-simplify]: Simplify 1/3 into 1/3
18.478 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
18.478 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
18.478 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
18.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.478 * [taylor]: Taking taylor expansion of 2.0 in a1
18.478 * [backup-simplify]: Simplify 2.0 into 2.0
18.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.481 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.482 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.485 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.489 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.494 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.494 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.494 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
18.494 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
18.494 * [taylor]: Taking taylor expansion of -1 in a1
18.494 * [backup-simplify]: Simplify -1 into -1
18.494 * [taylor]: Taking taylor expansion of th in a1
18.494 * [backup-simplify]: Simplify th into th
18.494 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
18.494 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.494 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
18.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.494 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.494 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.494 * [taylor]: Taking taylor expansion of a2 in a1
18.494 * [backup-simplify]: Simplify a2 into a2
18.494 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.494 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.494 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.494 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.494 * [taylor]: Taking taylor expansion of a1 in a1
18.494 * [backup-simplify]: Simplify 0 into 0
18.495 * [backup-simplify]: Simplify 1 into 1
18.495 * [backup-simplify]: Simplify (* 1 1) into 1
18.495 * [backup-simplify]: Simplify (/ 1 1) into 1
18.495 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
18.495 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
18.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
18.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
18.495 * [taylor]: Taking taylor expansion of 1/3 in a1
18.495 * [backup-simplify]: Simplify 1/3 into 1/3
18.496 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
18.496 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
18.496 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
18.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.496 * [taylor]: Taking taylor expansion of 2.0 in a1
18.496 * [backup-simplify]: Simplify 2.0 into 2.0
18.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.498 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.500 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.502 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.506 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.511 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.511 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.511 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
18.511 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
18.511 * [taylor]: Taking taylor expansion of -1 in a1
18.511 * [backup-simplify]: Simplify -1 into -1
18.511 * [taylor]: Taking taylor expansion of th in a1
18.511 * [backup-simplify]: Simplify th into th
18.511 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
18.511 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.511 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
18.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.511 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.511 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.511 * [taylor]: Taking taylor expansion of a2 in a1
18.511 * [backup-simplify]: Simplify a2 into a2
18.512 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.512 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.512 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.512 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.512 * [taylor]: Taking taylor expansion of a1 in a1
18.512 * [backup-simplify]: Simplify 0 into 0
18.512 * [backup-simplify]: Simplify 1 into 1
18.512 * [backup-simplify]: Simplify (* 1 1) into 1
18.513 * [backup-simplify]: Simplify (/ 1 1) into 1
18.513 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
18.513 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
18.513 * [backup-simplify]: Simplify (- 0) into 0
18.513 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
18.514 * [backup-simplify]: Simplify (+ 0 1) into 1
18.514 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
18.517 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.517 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) in a2
18.517 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.517 * [taylor]: Taking taylor expansion of 1/3 in a2
18.517 * [backup-simplify]: Simplify 1/3 into 1/3
18.517 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.517 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.517 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.517 * [taylor]: Taking taylor expansion of 2.0 in a2
18.517 * [backup-simplify]: Simplify 2.0 into 2.0
18.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.519 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.520 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.522 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.524 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.527 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.527 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
18.527 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
18.527 * [taylor]: Taking taylor expansion of -1 in a2
18.527 * [backup-simplify]: Simplify -1 into -1
18.527 * [taylor]: Taking taylor expansion of th in a2
18.527 * [backup-simplify]: Simplify th into th
18.527 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
18.527 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.527 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
18.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.528 * [backup-simplify]: Simplify (+ 0 0) into 0
18.529 * [backup-simplify]: Simplify (+ 0) into 0
18.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
18.529 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
18.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.530 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
18.530 * [backup-simplify]: Simplify (- 0) into 0
18.530 * [backup-simplify]: Simplify (+ 0 0) into 0
18.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
18.531 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.535 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.537 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
18.537 * [taylor]: Taking taylor expansion of 0 in a2
18.537 * [backup-simplify]: Simplify 0 into 0
18.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.538 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
18.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
18.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
18.539 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.539 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
18.540 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
18.540 * [backup-simplify]: Simplify (- 0) into 0
18.540 * [backup-simplify]: Simplify (+ 0 0) into 0
18.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
18.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
18.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
18.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
18.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.550 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2)))
18.550 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) in a2
18.550 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
18.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
18.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
18.550 * [taylor]: Taking taylor expansion of 1/3 in a2
18.550 * [backup-simplify]: Simplify 1/3 into 1/3
18.550 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
18.550 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
18.550 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
18.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.550 * [taylor]: Taking taylor expansion of 2.0 in a2
18.550 * [backup-simplify]: Simplify 2.0 into 2.0
18.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.553 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.554 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.557 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.561 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.566 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.566 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
18.566 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
18.566 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
18.566 * [taylor]: Taking taylor expansion of -1 in a2
18.567 * [backup-simplify]: Simplify -1 into -1
18.567 * [taylor]: Taking taylor expansion of th in a2
18.567 * [backup-simplify]: Simplify th into th
18.567 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
18.567 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.567 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
18.567 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.567 * [taylor]: Taking taylor expansion of a2 in a2
18.567 * [backup-simplify]: Simplify 0 into 0
18.567 * [backup-simplify]: Simplify 1 into 1
18.567 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
18.567 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
18.568 * [backup-simplify]: Simplify (- 0) into 0
18.568 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
18.568 * [backup-simplify]: Simplify (* 1 1) into 1
18.568 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
18.571 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.571 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) in th
18.571 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.572 * [taylor]: Taking taylor expansion of 1/3 in th
18.572 * [backup-simplify]: Simplify 1/3 into 1/3
18.572 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.572 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.572 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.572 * [taylor]: Taking taylor expansion of 2.0 in th
18.572 * [backup-simplify]: Simplify 2.0 into 2.0
18.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.574 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.576 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.579 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.583 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.588 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.588 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
18.588 * [taylor]: Taking taylor expansion of (/ -1 th) in th
18.588 * [taylor]: Taking taylor expansion of -1 in th
18.588 * [backup-simplify]: Simplify -1 into -1
18.588 * [taylor]: Taking taylor expansion of th in th
18.588 * [backup-simplify]: Simplify 0 into 0
18.588 * [backup-simplify]: Simplify 1 into 1
18.589 * [backup-simplify]: Simplify (/ -1 1) into -1
18.589 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.591 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.594 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.594 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
18.594 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
18.595 * [backup-simplify]: Simplify (- 0) into 0
18.595 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
18.598 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.598 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) in th
18.598 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
18.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
18.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
18.598 * [taylor]: Taking taylor expansion of 1/3 in th
18.598 * [backup-simplify]: Simplify 1/3 into 1/3
18.598 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
18.598 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
18.598 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
18.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
18.598 * [taylor]: Taking taylor expansion of 2.0 in th
18.598 * [backup-simplify]: Simplify 2.0 into 2.0
18.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.600 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
18.602 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
18.605 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
18.611 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
18.616 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
18.616 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
18.616 * [taylor]: Taking taylor expansion of (/ -1 th) in th
18.616 * [taylor]: Taking taylor expansion of -1 in th
18.616 * [backup-simplify]: Simplify -1 into -1
18.616 * [taylor]: Taking taylor expansion of th in th
18.616 * [backup-simplify]: Simplify 0 into 0
18.616 * [backup-simplify]: Simplify 1 into 1
18.616 * [backup-simplify]: Simplify (/ -1 1) into -1
18.616 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
18.619 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.622 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 th)))
18.622 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
18.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
18.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.625 * [backup-simplify]: Simplify (+ 0 0) into 0
18.626 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
18.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.628 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
18.630 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
18.630 * [backup-simplify]: Simplify (- 0) into 0
18.631 * [backup-simplify]: Simplify (+ 0 0) into 0
18.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
18.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
18.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.643 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 6) into 0
18.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))))) into 0
18.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
18.652 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
18.652 * [taylor]: Taking taylor expansion of 0 in a2
18.652 * [backup-simplify]: Simplify 0 into 0
18.652 * [backup-simplify]: Simplify (+ 0) into 0
18.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
18.653 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
18.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.655 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
18.655 * [backup-simplify]: Simplify (- 0) into 0
18.655 * [backup-simplify]: Simplify (+ 0 0) into 0
18.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
18.658 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.665 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.667 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
18.667 * [taylor]: Taking taylor expansion of 0 in th
18.667 * [backup-simplify]: Simplify 0 into 0
18.667 * [backup-simplify]: Simplify 0 into 0
18.667 * [taylor]: Taking taylor expansion of 0 in th
18.667 * [backup-simplify]: Simplify 0 into 0
18.667 * [backup-simplify]: Simplify 0 into 0
18.668 * [backup-simplify]: Simplify (+ 0) into 0
18.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
18.668 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
18.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
18.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
18.670 * [backup-simplify]: Simplify (- 0) into 0
18.670 * [backup-simplify]: Simplify (+ 0 0) into 0
18.671 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.679 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.680 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
18.680 * [taylor]: Taking taylor expansion of 0 in th
18.680 * [backup-simplify]: Simplify 0 into 0
18.680 * [backup-simplify]: Simplify 0 into 0
18.681 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.690 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
18.690 * [backup-simplify]: Simplify 0 into 0
18.691 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
18.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
18.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
18.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
18.700 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
18.700 * [backup-simplify]: Simplify 0 into 0
18.701 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
18.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
18.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.704 * [backup-simplify]: Simplify (+ 0 0) into 0
18.706 * [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
18.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.708 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.709 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
18.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
18.711 * [backup-simplify]: Simplify (- 0) into 0
18.711 * [backup-simplify]: Simplify (+ 0 0) into 0
18.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
18.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.715 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
18.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.730 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2.0) 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 24) into 0
18.732 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))))) into 0
18.738 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.740 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ -1 th)) (pow a2 2))) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
18.740 * [taylor]: Taking taylor expansion of 0 in a2
18.740 * [backup-simplify]: Simplify 0 into 0
18.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
18.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
18.742 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
18.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
18.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
18.744 * [backup-simplify]: Simplify (- 0) into 0
18.744 * [backup-simplify]: Simplify (+ 0 0) into 0
18.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.749 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
18.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
18.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
18.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
18.759 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
18.761 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
18.761 * [taylor]: Taking taylor expansion of 0 in th
18.762 * [backup-simplify]: Simplify 0 into 0
18.762 * [backup-simplify]: Simplify 0 into 0
18.770 * [backup-simplify]: Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 (/ 1 (- th))))) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (cos (/ -1 (/ 1 (- th))))) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (pow a1 2) (cos th))))
18.771 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
18.772 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2)))
18.772 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
18.772 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a2
18.772 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.772 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.772 * [taylor]: Taking taylor expansion of 2.0 in a2
18.772 * [backup-simplify]: Simplify 2.0 into 2.0
18.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.774 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.776 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.778 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
18.778 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.778 * [taylor]: Taking taylor expansion of a2 in a2
18.778 * [backup-simplify]: Simplify 0 into 0
18.778 * [backup-simplify]: Simplify 1 into 1
18.778 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
18.778 * [taylor]: Taking taylor expansion of a1 in a2
18.778 * [backup-simplify]: Simplify a1 into a1
18.778 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a1
18.779 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
18.779 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
18.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.779 * [taylor]: Taking taylor expansion of 2.0 in a1
18.779 * [backup-simplify]: Simplify 2.0 into 2.0
18.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.781 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.783 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.785 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
18.785 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.785 * [taylor]: Taking taylor expansion of a2 in a1
18.785 * [backup-simplify]: Simplify a2 into a2
18.785 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.785 * [taylor]: Taking taylor expansion of a1 in a1
18.785 * [backup-simplify]: Simplify 0 into 0
18.785 * [backup-simplify]: Simplify 1 into 1
18.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a1
18.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
18.785 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
18.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.785 * [taylor]: Taking taylor expansion of 2.0 in a1
18.785 * [backup-simplify]: Simplify 2.0 into 2.0
18.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.788 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.790 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.792 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
18.792 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.792 * [taylor]: Taking taylor expansion of a2 in a1
18.792 * [backup-simplify]: Simplify a2 into a2
18.792 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.792 * [taylor]: Taking taylor expansion of a1 in a1
18.792 * [backup-simplify]: Simplify 0 into 0
18.792 * [backup-simplify]: Simplify 1 into 1
18.793 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.793 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
18.794 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) into (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2))
18.794 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) in a2
18.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.795 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.795 * [taylor]: Taking taylor expansion of 2.0 in a2
18.795 * [backup-simplify]: Simplify 2.0 into 2.0
18.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.796 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.797 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.798 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.798 * [taylor]: Taking taylor expansion of a2 in a2
18.798 * [backup-simplify]: Simplify 0 into 0
18.798 * [backup-simplify]: Simplify 1 into 1
18.798 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
18.798 * [backup-simplify]: Simplify (+ 0 0) into 0
18.799 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (pow a2 2))) into 0
18.799 * [taylor]: Taking taylor expansion of 0 in a2
18.799 * [backup-simplify]: Simplify 0 into 0
18.799 * [backup-simplify]: Simplify 0 into 0
18.799 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
18.800 * [backup-simplify]: Simplify (* 1 1) into 1
18.800 * [backup-simplify]: Simplify (+ 0 1) into 1
18.801 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.802 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.804 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1) (+ (* 0 0) (* 0 (pow a2 2)))) into (sqrt (/ 1 (sqrt 2.0)))
18.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.804 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.804 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.804 * [taylor]: Taking taylor expansion of 2.0 in a2
18.804 * [backup-simplify]: Simplify 2.0 into 2.0
18.804 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.805 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.806 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.808 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.808 * [backup-simplify]: Simplify 0 into 0
18.809 * [backup-simplify]: Simplify (* 1 1) into 1
18.810 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
18.811 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.812 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
18.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.812 * [backup-simplify]: Simplify (+ 0 0) into 0
18.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.816 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
18.816 * [taylor]: Taking taylor expansion of 0 in a2
18.816 * [backup-simplify]: Simplify 0 into 0
18.816 * [backup-simplify]: Simplify 0 into 0
18.816 * [backup-simplify]: Simplify 0 into 0
18.816 * [backup-simplify]: Simplify 0 into 0
18.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.817 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
18.817 * [backup-simplify]: Simplify 0 into 0
18.818 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
18.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.819 * [backup-simplify]: Simplify (+ 0 0) into 0
18.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.823 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
18.823 * [taylor]: Taking taylor expansion of 0 in a2
18.823 * [backup-simplify]: Simplify 0 into 0
18.823 * [backup-simplify]: Simplify 0 into 0
18.823 * [backup-simplify]: Simplify 0 into 0
18.825 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* a2 1) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 a1) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
18.826 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
18.826 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
18.826 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
18.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.826 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.826 * [taylor]: Taking taylor expansion of 2.0 in a2
18.826 * [backup-simplify]: Simplify 2.0 into 2.0
18.826 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.827 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.829 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
18.831 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
18.831 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.831 * [taylor]: Taking taylor expansion of a2 in a2
18.831 * [backup-simplify]: Simplify 0 into 0
18.831 * [backup-simplify]: Simplify 1 into 1
18.832 * [backup-simplify]: Simplify (* 1 1) into 1
18.832 * [backup-simplify]: Simplify (/ 1 1) into 1
18.832 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
18.832 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
18.832 * [taylor]: Taking taylor expansion of a1 in a2
18.832 * [backup-simplify]: Simplify a1 into a1
18.832 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
18.833 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
18.833 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
18.833 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
18.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.833 * [taylor]: Taking taylor expansion of 2.0 in a1
18.833 * [backup-simplify]: Simplify 2.0 into 2.0
18.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.835 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.836 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.839 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.839 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.839 * [taylor]: Taking taylor expansion of a2 in a1
18.839 * [backup-simplify]: Simplify a2 into a2
18.839 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.839 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.839 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.839 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.839 * [taylor]: Taking taylor expansion of a1 in a1
18.839 * [backup-simplify]: Simplify 0 into 0
18.839 * [backup-simplify]: Simplify 1 into 1
18.840 * [backup-simplify]: Simplify (* 1 1) into 1
18.840 * [backup-simplify]: Simplify (/ 1 1) into 1
18.840 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
18.840 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
18.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.840 * [taylor]: Taking taylor expansion of 2.0 in a1
18.840 * [backup-simplify]: Simplify 2.0 into 2.0
18.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.842 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.844 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.846 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.846 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.846 * [taylor]: Taking taylor expansion of a2 in a1
18.846 * [backup-simplify]: Simplify a2 into a2
18.846 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.846 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.846 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.847 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.847 * [taylor]: Taking taylor expansion of a1 in a1
18.847 * [backup-simplify]: Simplify 0 into 0
18.847 * [backup-simplify]: Simplify 1 into 1
18.847 * [backup-simplify]: Simplify (* 1 1) into 1
18.848 * [backup-simplify]: Simplify (/ 1 1) into 1
18.848 * [backup-simplify]: Simplify (+ 0 1) into 1
18.850 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
18.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.850 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.851 * [taylor]: Taking taylor expansion of 2.0 in a2
18.851 * [backup-simplify]: Simplify 2.0 into 2.0
18.851 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.853 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.854 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.859 * [backup-simplify]: Simplify (+ 0 0) into 0
18.860 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
18.860 * [taylor]: Taking taylor expansion of 0 in a2
18.860 * [backup-simplify]: Simplify 0 into 0
18.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.862 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
18.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.869 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))
18.869 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) in a2
18.869 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.869 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.869 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.869 * [taylor]: Taking taylor expansion of 2.0 in a2
18.869 * [backup-simplify]: Simplify 2.0 into 2.0
18.870 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.871 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.873 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.875 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
18.875 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.875 * [taylor]: Taking taylor expansion of a2 in a2
18.875 * [backup-simplify]: Simplify 0 into 0
18.875 * [backup-simplify]: Simplify 1 into 1
18.876 * [backup-simplify]: Simplify (* 1 1) into 1
18.876 * [backup-simplify]: Simplify (/ 1 1) into 1
18.878 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
18.880 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.881 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.882 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
18.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
18.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.884 * [backup-simplify]: Simplify (+ 0 0) into 0
18.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.889 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
18.889 * [taylor]: Taking taylor expansion of 0 in a2
18.889 * [backup-simplify]: Simplify 0 into 0
18.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.890 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
18.890 * [backup-simplify]: Simplify 0 into 0
18.890 * [backup-simplify]: Simplify 0 into 0
18.890 * [backup-simplify]: Simplify 0 into 0
18.891 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
18.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
18.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.893 * [backup-simplify]: Simplify (+ 0 0) into 0
18.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.896 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
18.897 * [taylor]: Taking taylor expansion of 0 in a2
18.897 * [backup-simplify]: Simplify 0 into 0
18.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.901 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0
18.901 * [backup-simplify]: Simplify 0 into 0
18.901 * [backup-simplify]: Simplify 0 into 0
18.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.903 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.903 * [backup-simplify]: Simplify 0 into 0
18.906 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
18.906 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
18.906 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
18.906 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
18.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.906 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.906 * [taylor]: Taking taylor expansion of 2.0 in a2
18.907 * [backup-simplify]: Simplify 2.0 into 2.0
18.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.908 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.909 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
18.910 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
18.910 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.910 * [taylor]: Taking taylor expansion of a2 in a2
18.910 * [backup-simplify]: Simplify 0 into 0
18.910 * [backup-simplify]: Simplify 1 into 1
18.910 * [backup-simplify]: Simplify (* 1 1) into 1
18.911 * [backup-simplify]: Simplify (/ 1 1) into 1
18.911 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
18.911 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
18.911 * [taylor]: Taking taylor expansion of a1 in a2
18.911 * [backup-simplify]: Simplify a1 into a1
18.911 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
18.911 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
18.911 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
18.911 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
18.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.911 * [taylor]: Taking taylor expansion of 2.0 in a1
18.911 * [backup-simplify]: Simplify 2.0 into 2.0
18.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.912 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.913 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.915 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.915 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.915 * [taylor]: Taking taylor expansion of a2 in a1
18.915 * [backup-simplify]: Simplify a2 into a2
18.915 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.915 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.915 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.915 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.915 * [taylor]: Taking taylor expansion of a1 in a1
18.915 * [backup-simplify]: Simplify 0 into 0
18.915 * [backup-simplify]: Simplify 1 into 1
18.916 * [backup-simplify]: Simplify (* 1 1) into 1
18.916 * [backup-simplify]: Simplify (/ 1 1) into 1
18.916 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
18.916 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1
18.916 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
18.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
18.916 * [taylor]: Taking taylor expansion of 2.0 in a1
18.916 * [backup-simplify]: Simplify 2.0 into 2.0
18.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.918 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.920 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
18.922 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
18.922 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
18.922 * [taylor]: Taking taylor expansion of a2 in a1
18.922 * [backup-simplify]: Simplify a2 into a2
18.922 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
18.923 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
18.923 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
18.923 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
18.923 * [taylor]: Taking taylor expansion of a1 in a1
18.923 * [backup-simplify]: Simplify 0 into 0
18.923 * [backup-simplify]: Simplify 1 into 1
18.923 * [backup-simplify]: Simplify (* 1 1) into 1
18.924 * [backup-simplify]: Simplify (/ 1 1) into 1
18.924 * [backup-simplify]: Simplify (+ 0 1) into 1
18.926 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
18.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.927 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.927 * [taylor]: Taking taylor expansion of 2.0 in a2
18.927 * [backup-simplify]: Simplify 2.0 into 2.0
18.927 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.929 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.930 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.934 * [backup-simplify]: Simplify (+ 0 0) into 0
18.936 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
18.936 * [taylor]: Taking taylor expansion of 0 in a2
18.936 * [backup-simplify]: Simplify 0 into 0
18.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.938 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
18.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.944 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))
18.944 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))) in a2
18.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
18.945 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
18.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
18.945 * [taylor]: Taking taylor expansion of 2.0 in a2
18.945 * [backup-simplify]: Simplify 2.0 into 2.0
18.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.947 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
18.949 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
18.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.951 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
18.951 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
18.951 * [taylor]: Taking taylor expansion of a2 in a2
18.951 * [backup-simplify]: Simplify 0 into 0
18.951 * [backup-simplify]: Simplify 1 into 1
18.952 * [backup-simplify]: Simplify (* 1 1) into 1
18.952 * [backup-simplify]: Simplify (/ 1 1) into 1
18.955 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
18.956 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.958 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
18.958 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
18.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
18.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.961 * [backup-simplify]: Simplify (+ 0 0) into 0
18.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.967 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
18.967 * [taylor]: Taking taylor expansion of 0 in a2
18.967 * [backup-simplify]: Simplify 0 into 0
18.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.970 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
18.970 * [backup-simplify]: Simplify 0 into 0
18.970 * [backup-simplify]: Simplify 0 into 0
18.970 * [backup-simplify]: Simplify 0 into 0
18.971 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
18.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
18.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.974 * [backup-simplify]: Simplify (+ 0 0) into 0
18.975 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.981 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
18.981 * [taylor]: Taking taylor expansion of 0 in a2
18.981 * [backup-simplify]: Simplify 0 into 0
18.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.989 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 1))) into 0
18.989 * [backup-simplify]: Simplify 0 into 0
18.989 * [backup-simplify]: Simplify 0 into 0
18.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
18.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
18.993 * [backup-simplify]: Simplify 0 into 0
18.997 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
18.997 * * * * [progress]: [ 3 / 4 ] generating series at (2)
19.002 * [backup-simplify]: Simplify (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3))))
19.002 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) in (a1 a2 th) around 0
19.003 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.003 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.003 * [taylor]: Taking taylor expansion of 1/3 in th
19.003 * [backup-simplify]: Simplify 1/3 into 1/3
19.003 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.003 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.003 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.003 * [taylor]: Taking taylor expansion of 2.0 in th
19.003 * [backup-simplify]: Simplify 2.0 into 2.0
19.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.005 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.007 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.010 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.013 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.019 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.019 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3))) in th
19.019 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
19.019 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
19.019 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.019 * [taylor]: Taking taylor expansion of a2 in th
19.019 * [backup-simplify]: Simplify a2 into a2
19.019 * [taylor]: Taking taylor expansion of (pow a1 2) in th
19.019 * [taylor]: Taking taylor expansion of a1 in th
19.019 * [backup-simplify]: Simplify a1 into a1
19.019 * [taylor]: Taking taylor expansion of (cos th) in th
19.019 * [taylor]: Taking taylor expansion of th in th
19.019 * [backup-simplify]: Simplify 0 into 0
19.019 * [backup-simplify]: Simplify 1 into 1
19.019 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.025 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.025 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.025 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
19.025 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
19.026 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
19.028 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (+ (pow a2 2) (pow a1 2)) (fabs (pow (sqrt 2.0) 1/3)))
19.028 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.028 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.028 * [taylor]: Taking taylor expansion of 1/3 in a2
19.028 * [backup-simplify]: Simplify 1/3 into 1/3
19.028 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.028 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.028 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.028 * [taylor]: Taking taylor expansion of 2.0 in a2
19.028 * [backup-simplify]: Simplify 2.0 into 2.0
19.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.031 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.032 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.035 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.039 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.044 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.044 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.044 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
19.044 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
19.044 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.044 * [taylor]: Taking taylor expansion of a2 in a2
19.044 * [backup-simplify]: Simplify 0 into 0
19.044 * [backup-simplify]: Simplify 1 into 1
19.044 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
19.044 * [taylor]: Taking taylor expansion of a1 in a2
19.044 * [backup-simplify]: Simplify a1 into a1
19.044 * [taylor]: Taking taylor expansion of (cos th) in a2
19.044 * [taylor]: Taking taylor expansion of th in a2
19.044 * [backup-simplify]: Simplify th into th
19.044 * [backup-simplify]: Simplify (cos th) into (cos th)
19.045 * [backup-simplify]: Simplify (sin th) into (sin th)
19.045 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.047 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.047 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
19.047 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
19.047 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.047 * [backup-simplify]: Simplify (* (sin th) 0) into 0
19.048 * [backup-simplify]: Simplify (- 0) into 0
19.048 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
19.048 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
19.050 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (* (pow a1 2) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))
19.050 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) in a1
19.050 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
19.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
19.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
19.050 * [taylor]: Taking taylor expansion of 1/3 in a1
19.050 * [backup-simplify]: Simplify 1/3 into 1/3
19.050 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
19.050 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
19.050 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
19.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
19.051 * [taylor]: Taking taylor expansion of 2.0 in a1
19.051 * [backup-simplify]: Simplify 2.0 into 2.0
19.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.053 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.055 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.057 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.061 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.066 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.066 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3))) in a1
19.066 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
19.066 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
19.066 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
19.066 * [taylor]: Taking taylor expansion of a2 in a1
19.066 * [backup-simplify]: Simplify a2 into a2
19.066 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
19.067 * [taylor]: Taking taylor expansion of a1 in a1
19.067 * [backup-simplify]: Simplify 0 into 0
19.067 * [backup-simplify]: Simplify 1 into 1
19.067 * [taylor]: Taking taylor expansion of (cos th) in a1
19.067 * [taylor]: Taking taylor expansion of th in a1
19.067 * [backup-simplify]: Simplify th into th
19.067 * [backup-simplify]: Simplify (cos th) into (cos th)
19.067 * [backup-simplify]: Simplify (sin th) into (sin th)
19.067 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a1
19.069 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.069 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.069 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
19.069 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.069 * [backup-simplify]: Simplify (* (sin th) 0) into 0
19.069 * [backup-simplify]: Simplify (- 0) into 0
19.069 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
19.070 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
19.072 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))
19.072 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) in a1
19.072 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
19.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
19.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
19.072 * [taylor]: Taking taylor expansion of 1/3 in a1
19.072 * [backup-simplify]: Simplify 1/3 into 1/3
19.072 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
19.072 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
19.072 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
19.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
19.072 * [taylor]: Taking taylor expansion of 2.0 in a1
19.072 * [backup-simplify]: Simplify 2.0 into 2.0
19.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.074 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.076 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.079 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.083 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.088 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.088 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (fabs (pow (sqrt 2.0) 1/3))) in a1
19.088 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
19.088 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
19.088 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
19.088 * [taylor]: Taking taylor expansion of a2 in a1
19.088 * [backup-simplify]: Simplify a2 into a2
19.088 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
19.088 * [taylor]: Taking taylor expansion of a1 in a1
19.088 * [backup-simplify]: Simplify 0 into 0
19.088 * [backup-simplify]: Simplify 1 into 1
19.088 * [taylor]: Taking taylor expansion of (cos th) in a1
19.088 * [taylor]: Taking taylor expansion of th in a1
19.088 * [backup-simplify]: Simplify th into th
19.088 * [backup-simplify]: Simplify (cos th) into (cos th)
19.088 * [backup-simplify]: Simplify (sin th) into (sin th)
19.088 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a1
19.090 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.090 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.090 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
19.090 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.091 * [backup-simplify]: Simplify (* (sin th) 0) into 0
19.091 * [backup-simplify]: Simplify (- 0) into 0
19.091 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
19.091 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
19.093 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))
19.098 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))))
19.098 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.098 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.098 * [taylor]: Taking taylor expansion of 1/3 in a2
19.098 * [backup-simplify]: Simplify 1/3 into 1/3
19.098 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.098 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.098 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.098 * [taylor]: Taking taylor expansion of 2.0 in a2
19.098 * [backup-simplify]: Simplify 2.0 into 2.0
19.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.100 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.101 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.102 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.105 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.107 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.107 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.107 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
19.107 * [taylor]: Taking taylor expansion of (cos th) in a2
19.108 * [taylor]: Taking taylor expansion of th in a2
19.108 * [backup-simplify]: Simplify th into th
19.108 * [backup-simplify]: Simplify (cos th) into (cos th)
19.108 * [backup-simplify]: Simplify (sin th) into (sin th)
19.108 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.108 * [taylor]: Taking taylor expansion of a2 in a2
19.108 * [backup-simplify]: Simplify 0 into 0
19.108 * [backup-simplify]: Simplify 1 into 1
19.108 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.109 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.109 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.109 * [backup-simplify]: Simplify (* (sin th) 0) into 0
19.109 * [backup-simplify]: Simplify (- 0) into 0
19.109 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
19.110 * [backup-simplify]: Simplify (* 1 1) into 1
19.110 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.111 * [backup-simplify]: Simplify (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))
19.111 * [backup-simplify]: Simplify (+ 0) into 0
19.111 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
19.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.112 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
19.112 * [backup-simplify]: Simplify (- 0) into 0
19.112 * [backup-simplify]: Simplify (+ 0 0) into 0
19.113 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
19.113 * [backup-simplify]: Simplify (+ 0 0) into 0
19.113 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
19.115 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.115 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.120 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.122 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.122 * [taylor]: Taking taylor expansion of 0 in a2
19.122 * [backup-simplify]: Simplify 0 into 0
19.122 * [taylor]: Taking taylor expansion of 0 in th
19.122 * [backup-simplify]: Simplify 0 into 0
19.122 * [backup-simplify]: Simplify 0 into 0
19.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.123 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
19.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.124 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
19.124 * [backup-simplify]: Simplify (- 0) into 0
19.124 * [backup-simplify]: Simplify (+ 0 0) into 0
19.124 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
19.125 * [backup-simplify]: Simplify (* 1 1) into 1
19.125 * [backup-simplify]: Simplify (+ 0 1) into 1
19.125 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
19.128 * [backup-simplify]: Simplify (- (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))
19.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.130 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
19.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
19.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
19.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.147 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) (+ (* 0 0) (* 0 (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))))
19.147 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.147 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.147 * [taylor]: Taking taylor expansion of 1/3 in a2
19.147 * [backup-simplify]: Simplify 1/3 into 1/3
19.147 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.147 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.147 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.147 * [taylor]: Taking taylor expansion of 2.0 in a2
19.147 * [backup-simplify]: Simplify 2.0 into 2.0
19.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.149 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.152 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.153 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.155 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.158 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.158 * [taylor]: Taking taylor expansion of (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.158 * [taylor]: Taking taylor expansion of (cos th) in a2
19.158 * [taylor]: Taking taylor expansion of th in a2
19.158 * [backup-simplify]: Simplify th into th
19.158 * [backup-simplify]: Simplify (cos th) into (cos th)
19.159 * [backup-simplify]: Simplify (sin th) into (sin th)
19.159 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.160 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.160 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.160 * [backup-simplify]: Simplify (* (sin th) 0) into 0
19.160 * [backup-simplify]: Simplify (- 0) into 0
19.160 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
19.161 * [backup-simplify]: Simplify (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))
19.164 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))))
19.164 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.164 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.164 * [taylor]: Taking taylor expansion of 1/3 in th
19.164 * [backup-simplify]: Simplify 1/3 into 1/3
19.164 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.164 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.164 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.164 * [taylor]: Taking taylor expansion of 2.0 in th
19.164 * [backup-simplify]: Simplify 2.0 into 2.0
19.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.166 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.167 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.168 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.170 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.173 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.173 * [taylor]: Taking taylor expansion of (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) in th
19.173 * [taylor]: Taking taylor expansion of (cos th) in th
19.173 * [taylor]: Taking taylor expansion of th in th
19.173 * [backup-simplify]: Simplify 0 into 0
19.173 * [backup-simplify]: Simplify 1 into 1
19.173 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.174 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.176 * [backup-simplify]: Simplify (/ 1 (fabs (pow (sqrt 2.0) 1/3))) into (/ 1 (fabs (pow (sqrt 2.0) 1/3)))
19.180 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3))))
19.184 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3))))
19.185 * [taylor]: Taking taylor expansion of 0 in th
19.185 * [backup-simplify]: Simplify 0 into 0
19.185 * [backup-simplify]: Simplify 0 into 0
19.188 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))))
19.188 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.188 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.188 * [taylor]: Taking taylor expansion of 1/3 in th
19.188 * [backup-simplify]: Simplify 1/3 into 1/3
19.188 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.188 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.188 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.188 * [taylor]: Taking taylor expansion of 2.0 in th
19.188 * [backup-simplify]: Simplify 2.0 into 2.0
19.188 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.190 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.191 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.192 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.194 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.197 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.197 * [taylor]: Taking taylor expansion of (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) in th
19.197 * [taylor]: Taking taylor expansion of (cos th) in th
19.197 * [taylor]: Taking taylor expansion of th in th
19.197 * [backup-simplify]: Simplify 0 into 0
19.197 * [backup-simplify]: Simplify 1 into 1
19.197 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.198 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.200 * [backup-simplify]: Simplify (/ 1 (fabs (pow (sqrt 2.0) 1/3))) into (/ 1 (fabs (pow (sqrt 2.0) 1/3)))
19.203 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3))))
19.207 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3))))
19.207 * [backup-simplify]: Simplify 0 into 0
19.208 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.209 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.210 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.211 * [backup-simplify]: Simplify (- 0) into 0
19.211 * [backup-simplify]: Simplify (+ 0 0) into 0
19.211 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
19.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.212 * [backup-simplify]: Simplify (+ 0 0) into 0
19.213 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
19.217 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
19.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.227 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 6) into 0
19.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))))) into 0
19.233 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
19.238 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 (/ (cos th) (fabs (pow (sqrt 2.0) 1/3)))) (+ (* 0 0) (* 0 (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))))))) into 0
19.238 * [taylor]: Taking taylor expansion of 0 in a2
19.238 * [backup-simplify]: Simplify 0 into 0
19.239 * [taylor]: Taking taylor expansion of 0 in th
19.239 * [backup-simplify]: Simplify 0 into 0
19.239 * [backup-simplify]: Simplify 0 into 0
19.239 * [backup-simplify]: Simplify (+ 0) into 0
19.240 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
19.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.241 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
19.241 * [backup-simplify]: Simplify (- 0) into 0
19.242 * [backup-simplify]: Simplify (+ 0 0) into 0
19.245 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.251 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.254 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.254 * [taylor]: Taking taylor expansion of 0 in th
19.254 * [backup-simplify]: Simplify 0 into 0
19.254 * [backup-simplify]: Simplify 0 into 0
19.254 * [taylor]: Taking taylor expansion of 0 in th
19.254 * [backup-simplify]: Simplify 0 into 0
19.254 * [backup-simplify]: Simplify 0 into 0
19.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.255 * [backup-simplify]: Simplify (+ 0) into 0
19.255 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
19.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.256 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
19.256 * [backup-simplify]: Simplify (- 0) into 0
19.257 * [backup-simplify]: Simplify (+ 0 0) into 0
19.257 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
19.259 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.260 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.266 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos th) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.266 * [taylor]: Taking taylor expansion of 0 in th
19.266 * [backup-simplify]: Simplify 0 into 0
19.266 * [backup-simplify]: Simplify 0 into 0
19.266 * [backup-simplify]: Simplify (+ 0) into 0
19.267 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ 1 (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.268 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.272 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.273 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ 1 (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.273 * [backup-simplify]: Simplify 0 into 0
19.283 * [backup-simplify]: Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3)))) (pow (* 1 (* a2 1)) 2)) (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ 1 (fabs (pow (sqrt 2.0) 1/3)))) (pow (* 1 (* 1 a1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (pow a1 2) (fabs (pow (sqrt 2.0) 1/3)))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (pow a2 2) (fabs (pow (sqrt 2.0) 1/3)))))
19.288 * [backup-simplify]: Simplify (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos (/ 1 th))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))))
19.288 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in (a1 a2 th) around 0
19.288 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.288 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.289 * [taylor]: Taking taylor expansion of 1/3 in th
19.289 * [backup-simplify]: Simplify 1/3 into 1/3
19.289 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.289 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.289 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.289 * [taylor]: Taking taylor expansion of 2.0 in th
19.289 * [backup-simplify]: Simplify 2.0 into 2.0
19.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.291 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.293 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.295 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.299 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.304 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in th
19.304 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
19.304 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.304 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.304 * [taylor]: Taking taylor expansion of th in th
19.304 * [backup-simplify]: Simplify 0 into 0
19.304 * [backup-simplify]: Simplify 1 into 1
19.305 * [backup-simplify]: Simplify (/ 1 1) into 1
19.305 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
19.305 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
19.305 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.305 * [taylor]: Taking taylor expansion of a2 in th
19.305 * [backup-simplify]: Simplify a2 into a2
19.305 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.305 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
19.305 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
19.305 * [taylor]: Taking taylor expansion of (pow a1 2) in th
19.305 * [taylor]: Taking taylor expansion of a1 in th
19.305 * [backup-simplify]: Simplify a1 into a1
19.305 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
19.306 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
19.306 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.307 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.308 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
19.308 * [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))))
19.310 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))
19.310 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.310 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.310 * [taylor]: Taking taylor expansion of 1/3 in a2
19.310 * [backup-simplify]: Simplify 1/3 into 1/3
19.310 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.310 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.311 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.311 * [taylor]: Taking taylor expansion of 2.0 in a2
19.311 * [backup-simplify]: Simplify 2.0 into 2.0
19.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.313 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.315 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.317 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.321 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.326 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.326 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.326 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
19.326 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
19.326 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
19.326 * [taylor]: Taking taylor expansion of th in a2
19.326 * [backup-simplify]: Simplify th into th
19.326 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.326 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.326 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
19.326 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
19.326 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.326 * [taylor]: Taking taylor expansion of a2 in a2
19.326 * [backup-simplify]: Simplify 0 into 0
19.326 * [backup-simplify]: Simplify 1 into 1
19.327 * [backup-simplify]: Simplify (* 1 1) into 1
19.327 * [backup-simplify]: Simplify (/ 1 1) into 1
19.327 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
19.327 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
19.327 * [taylor]: Taking taylor expansion of a1 in a2
19.327 * [backup-simplify]: Simplify a1 into a1
19.327 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
19.328 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
19.328 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.329 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.329 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.329 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.330 * [backup-simplify]: Simplify (- 0) into 0
19.330 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.330 * [backup-simplify]: Simplify (+ 1 0) into 1
19.330 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.332 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.332 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in a1
19.332 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
19.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
19.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
19.332 * [taylor]: Taking taylor expansion of 1/3 in a1
19.332 * [backup-simplify]: Simplify 1/3 into 1/3
19.332 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
19.332 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
19.333 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
19.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
19.333 * [taylor]: Taking taylor expansion of 2.0 in a1
19.333 * [backup-simplify]: Simplify 2.0 into 2.0
19.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.335 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.336 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.339 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.343 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.348 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.348 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in a1
19.348 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
19.348 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
19.348 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
19.348 * [taylor]: Taking taylor expansion of th in a1
19.348 * [backup-simplify]: Simplify th into th
19.349 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.349 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.349 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
19.349 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
19.349 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
19.349 * [taylor]: Taking taylor expansion of a2 in a1
19.349 * [backup-simplify]: Simplify a2 into a2
19.349 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.349 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
19.349 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
19.349 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
19.349 * [taylor]: Taking taylor expansion of a1 in a1
19.349 * [backup-simplify]: Simplify 0 into 0
19.349 * [backup-simplify]: Simplify 1 into 1
19.350 * [backup-simplify]: Simplify (* 1 1) into 1
19.350 * [backup-simplify]: Simplify (/ 1 1) into 1
19.350 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a1
19.352 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.352 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.352 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.352 * [backup-simplify]: Simplify (- 0) into 0
19.352 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.353 * [backup-simplify]: Simplify (+ 0 1) into 1
19.353 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.355 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.355 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in a1
19.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
19.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
19.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
19.355 * [taylor]: Taking taylor expansion of 1/3 in a1
19.355 * [backup-simplify]: Simplify 1/3 into 1/3
19.355 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
19.355 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
19.355 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
19.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
19.355 * [taylor]: Taking taylor expansion of 2.0 in a1
19.355 * [backup-simplify]: Simplify 2.0 into 2.0
19.355 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.357 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.359 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.362 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.366 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.371 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.371 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in a1
19.371 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
19.371 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
19.371 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
19.371 * [taylor]: Taking taylor expansion of th in a1
19.371 * [backup-simplify]: Simplify th into th
19.371 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.371 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.371 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
19.371 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
19.371 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
19.371 * [taylor]: Taking taylor expansion of a2 in a1
19.371 * [backup-simplify]: Simplify a2 into a2
19.371 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.371 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
19.371 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
19.372 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
19.372 * [taylor]: Taking taylor expansion of a1 in a1
19.372 * [backup-simplify]: Simplify 0 into 0
19.372 * [backup-simplify]: Simplify 1 into 1
19.372 * [backup-simplify]: Simplify (* 1 1) into 1
19.372 * [backup-simplify]: Simplify (/ 1 1) into 1
19.372 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a1
19.374 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.374 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.374 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.375 * [backup-simplify]: Simplify (- 0) into 0
19.375 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.375 * [backup-simplify]: Simplify (+ 0 1) into 1
19.375 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.377 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.381 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.381 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.381 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.382 * [taylor]: Taking taylor expansion of 1/3 in a2
19.382 * [backup-simplify]: Simplify 1/3 into 1/3
19.382 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.382 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.382 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.382 * [taylor]: Taking taylor expansion of 2.0 in a2
19.382 * [backup-simplify]: Simplify 2.0 into 2.0
19.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.387 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.389 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.392 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.395 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.400 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.400 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.400 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
19.400 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
19.400 * [taylor]: Taking taylor expansion of th in a2
19.401 * [backup-simplify]: Simplify th into th
19.401 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.401 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.401 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.401 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.402 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.403 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.403 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.403 * [backup-simplify]: Simplify (- 0) into 0
19.403 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.405 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.407 * [backup-simplify]: Simplify (+ 0 0) into 0
19.407 * [backup-simplify]: Simplify (+ 0) into 0
19.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
19.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
19.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
19.410 * [backup-simplify]: Simplify (- 0) into 0
19.410 * [backup-simplify]: Simplify (+ 0 0) into 0
19.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
19.412 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.413 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.416 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.417 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.419 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.419 * [taylor]: Taking taylor expansion of 0 in a2
19.419 * [backup-simplify]: Simplify 0 into 0
19.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.420 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
19.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
19.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
19.422 * [backup-simplify]: Simplify (- 0) into 0
19.423 * [backup-simplify]: Simplify (+ 0 0) into 0
19.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
19.426 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into (/ (cos (/ 1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))
19.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
19.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
19.432 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
19.433 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.437 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))) (+ (* 0 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2))))
19.437 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2)))) in a2
19.437 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.438 * [taylor]: Taking taylor expansion of 1/3 in a2
19.438 * [backup-simplify]: Simplify 1/3 into 1/3
19.438 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.438 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.438 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.438 * [taylor]: Taking taylor expansion of 2.0 in a2
19.438 * [backup-simplify]: Simplify 2.0 into 2.0
19.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.439 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.440 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.442 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.444 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.447 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.447 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2))) in a2
19.447 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
19.447 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
19.447 * [taylor]: Taking taylor expansion of th in a2
19.447 * [backup-simplify]: Simplify th into th
19.447 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.447 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.447 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.447 * [taylor]: Taking taylor expansion of (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2)) in a2
19.447 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.448 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.448 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.448 * [taylor]: Taking taylor expansion of a2 in a2
19.448 * [backup-simplify]: Simplify 0 into 0
19.448 * [backup-simplify]: Simplify 1 into 1
19.448 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.449 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.449 * [backup-simplify]: Simplify (- 0) into 0
19.449 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.449 * [backup-simplify]: Simplify (* 1 1) into 1
19.451 * [backup-simplify]: Simplify (* (fabs (pow (sqrt 2.0) 1/3)) 1) into (fabs (pow (sqrt 2.0) 1/3))
19.452 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.454 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.454 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.454 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.454 * [taylor]: Taking taylor expansion of 1/3 in th
19.454 * [backup-simplify]: Simplify 1/3 into 1/3
19.454 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.455 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.455 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.455 * [taylor]: Taking taylor expansion of 2.0 in th
19.455 * [backup-simplify]: Simplify 2.0 into 2.0
19.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.456 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.457 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.459 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.461 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.465 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.465 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) in th
19.465 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.465 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.465 * [taylor]: Taking taylor expansion of th in th
19.465 * [backup-simplify]: Simplify 0 into 0
19.465 * [backup-simplify]: Simplify 1 into 1
19.465 * [backup-simplify]: Simplify (/ 1 1) into 1
19.465 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.465 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.467 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.469 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.473 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.477 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.482 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.482 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.482 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.482 * [taylor]: Taking taylor expansion of 1/3 in th
19.482 * [backup-simplify]: Simplify 1/3 into 1/3
19.482 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.482 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.482 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.482 * [taylor]: Taking taylor expansion of 2.0 in th
19.482 * [backup-simplify]: Simplify 2.0 into 2.0
19.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.485 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.486 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.489 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.495 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.501 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.501 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) in th
19.501 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.501 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.501 * [taylor]: Taking taylor expansion of th in th
19.501 * [backup-simplify]: Simplify 0 into 0
19.501 * [backup-simplify]: Simplify 1 into 1
19.501 * [backup-simplify]: Simplify (/ 1 1) into 1
19.501 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.501 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.503 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.505 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.509 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.514 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.514 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
19.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
19.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.516 * [backup-simplify]: Simplify (+ 0 0) into 0
19.517 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.519 * [backup-simplify]: Simplify (- 0) into 0
19.519 * [backup-simplify]: Simplify (+ 0 0) into 0
19.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
19.524 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* (/ (cos (/ 1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3)))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.525 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
19.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.530 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 6) into 0
19.531 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))))) into 0
19.533 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
19.536 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 (/ (cos (/ 1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))) (+ (* 0 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))))) into 0
19.536 * [taylor]: Taking taylor expansion of 0 in a2
19.536 * [backup-simplify]: Simplify 0 into 0
19.536 * [backup-simplify]: Simplify (+ 0) into 0
19.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
19.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
19.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
19.538 * [backup-simplify]: Simplify (- 0) into 0
19.538 * [backup-simplify]: Simplify (+ 0 0) into 0
19.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.539 * [backup-simplify]: Simplify (+ (* (fabs (pow (sqrt 2.0) 1/3)) 0) (* 0 1)) into 0
19.541 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.549 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.553 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.553 * [taylor]: Taking taylor expansion of 0 in th
19.553 * [backup-simplify]: Simplify 0 into 0
19.553 * [backup-simplify]: Simplify 0 into 0
19.553 * [taylor]: Taking taylor expansion of 0 in th
19.553 * [backup-simplify]: Simplify 0 into 0
19.553 * [backup-simplify]: Simplify 0 into 0
19.553 * [backup-simplify]: Simplify (+ 0) into 0
19.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
19.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
19.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
19.556 * [backup-simplify]: Simplify (- 0) into 0
19.556 * [backup-simplify]: Simplify (+ 0 0) into 0
19.560 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.561 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.566 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.568 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.572 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.572 * [taylor]: Taking taylor expansion of 0 in th
19.572 * [backup-simplify]: Simplify 0 into 0
19.572 * [backup-simplify]: Simplify 0 into 0
19.576 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.576 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.587 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.588 * [backup-simplify]: Simplify 0 into 0
19.591 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.592 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.596 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.599 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.599 * [backup-simplify]: Simplify 0 into 0
19.599 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
19.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
19.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
19.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.601 * [backup-simplify]: Simplify (+ 0 0) into 0
19.602 * [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
19.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
19.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.604 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
19.605 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
19.605 * [backup-simplify]: Simplify (- 0) into 0
19.605 * [backup-simplify]: Simplify (+ 0 0) into 0
19.606 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
19.611 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* (/ (cos (/ 1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3)))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.614 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
19.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.628 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2.0) 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 24) into 0
19.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))))) into 0
19.636 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.642 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ 1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))) (+ (* 0 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))))))) into 0
19.642 * [taylor]: Taking taylor expansion of 0 in a2
19.642 * [backup-simplify]: Simplify 0 into 0
19.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
19.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.645 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
19.646 * [backup-simplify]: Simplify (- 0) into 0
19.646 * [backup-simplify]: Simplify (+ 0 0) into 0
19.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.649 * [backup-simplify]: Simplify (+ (* (fabs (pow (sqrt 2.0) 1/3)) 0) (+ (* 0 0) (* 0 1))) into 0
19.654 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.656 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
19.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
19.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
19.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.670 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 th)) (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.670 * [taylor]: Taking taylor expansion of 0 in th
19.670 * [backup-simplify]: Simplify 0 into 0
19.670 * [backup-simplify]: Simplify 0 into 0
19.680 * [backup-simplify]: Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 (/ 1 th))) (fabs (pow (sqrt 2.0) 1/3)))) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ 1 (/ 1 th))) (fabs (pow (sqrt 2.0) 1/3)))) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (pow a1 2) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))))
19.686 * [backup-simplify]: Simplify (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos (/ 1 (- th)))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))))
19.686 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in (a1 a2 th) around 0
19.686 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.686 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.686 * [taylor]: Taking taylor expansion of 1/3 in th
19.686 * [backup-simplify]: Simplify 1/3 into 1/3
19.686 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.686 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.686 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.686 * [taylor]: Taking taylor expansion of 2.0 in th
19.686 * [backup-simplify]: Simplify 2.0 into 2.0
19.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.689 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.691 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.693 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.696 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.699 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.699 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in th
19.699 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
19.699 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.699 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.699 * [taylor]: Taking taylor expansion of -1 in th
19.699 * [backup-simplify]: Simplify -1 into -1
19.699 * [taylor]: Taking taylor expansion of th in th
19.699 * [backup-simplify]: Simplify 0 into 0
19.699 * [backup-simplify]: Simplify 1 into 1
19.699 * [backup-simplify]: Simplify (/ -1 1) into -1
19.699 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
19.700 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
19.700 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.700 * [taylor]: Taking taylor expansion of a2 in th
19.700 * [backup-simplify]: Simplify a2 into a2
19.700 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.700 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
19.700 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
19.700 * [taylor]: Taking taylor expansion of (pow a1 2) in th
19.700 * [taylor]: Taking taylor expansion of a1 in th
19.700 * [backup-simplify]: Simplify a1 into a1
19.700 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
19.700 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
19.700 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.701 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.701 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
19.701 * [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))))
19.703 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))
19.703 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.703 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.703 * [taylor]: Taking taylor expansion of 1/3 in a2
19.703 * [backup-simplify]: Simplify 1/3 into 1/3
19.703 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.703 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.703 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.703 * [taylor]: Taking taylor expansion of 2.0 in a2
19.703 * [backup-simplify]: Simplify 2.0 into 2.0
19.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.704 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.705 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.707 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.709 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.712 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.712 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.712 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
19.712 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
19.712 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
19.712 * [taylor]: Taking taylor expansion of -1 in a2
19.712 * [backup-simplify]: Simplify -1 into -1
19.712 * [taylor]: Taking taylor expansion of th in a2
19.712 * [backup-simplify]: Simplify th into th
19.712 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
19.712 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.712 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
19.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
19.712 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
19.712 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.712 * [taylor]: Taking taylor expansion of a2 in a2
19.713 * [backup-simplify]: Simplify 0 into 0
19.713 * [backup-simplify]: Simplify 1 into 1
19.713 * [backup-simplify]: Simplify (* 1 1) into 1
19.713 * [backup-simplify]: Simplify (/ 1 1) into 1
19.713 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
19.713 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
19.713 * [taylor]: Taking taylor expansion of a1 in a2
19.713 * [backup-simplify]: Simplify a1 into a1
19.713 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
19.713 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
19.713 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.714 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.714 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.714 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
19.715 * [backup-simplify]: Simplify (- 0) into 0
19.715 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
19.715 * [backup-simplify]: Simplify (+ 1 0) into 1
19.715 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.716 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.716 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in a1
19.716 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
19.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
19.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
19.716 * [taylor]: Taking taylor expansion of 1/3 in a1
19.716 * [backup-simplify]: Simplify 1/3 into 1/3
19.716 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
19.716 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
19.716 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
19.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
19.716 * [taylor]: Taking taylor expansion of 2.0 in a1
19.716 * [backup-simplify]: Simplify 2.0 into 2.0
19.717 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.718 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.719 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.721 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.723 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.726 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.726 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in a1
19.726 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
19.726 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
19.726 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
19.726 * [taylor]: Taking taylor expansion of -1 in a1
19.726 * [backup-simplify]: Simplify -1 into -1
19.726 * [taylor]: Taking taylor expansion of th in a1
19.726 * [backup-simplify]: Simplify th into th
19.726 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
19.726 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.726 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
19.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
19.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
19.726 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
19.726 * [taylor]: Taking taylor expansion of a2 in a1
19.726 * [backup-simplify]: Simplify a2 into a2
19.726 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.726 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
19.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
19.726 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
19.726 * [taylor]: Taking taylor expansion of a1 in a1
19.726 * [backup-simplify]: Simplify 0 into 0
19.726 * [backup-simplify]: Simplify 1 into 1
19.727 * [backup-simplify]: Simplify (* 1 1) into 1
19.727 * [backup-simplify]: Simplify (/ 1 1) into 1
19.727 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a1
19.729 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.729 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.729 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
19.729 * [backup-simplify]: Simplify (- 0) into 0
19.729 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
19.730 * [backup-simplify]: Simplify (+ 0 1) into 1
19.730 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.732 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.732 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3)))) in a1
19.732 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a1
19.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a1
19.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a1
19.732 * [taylor]: Taking taylor expansion of 1/3 in a1
19.732 * [backup-simplify]: Simplify 1/3 into 1/3
19.732 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a1
19.732 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a1
19.732 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a1
19.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
19.732 * [taylor]: Taking taylor expansion of 2.0 in a1
19.732 * [backup-simplify]: Simplify 2.0 into 2.0
19.733 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.735 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.736 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.739 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.743 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.751 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.751 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (fabs (pow (sqrt 2.0) 1/3))) in a1
19.751 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
19.751 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
19.751 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
19.751 * [taylor]: Taking taylor expansion of -1 in a1
19.751 * [backup-simplify]: Simplify -1 into -1
19.751 * [taylor]: Taking taylor expansion of th in a1
19.751 * [backup-simplify]: Simplify th into th
19.751 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
19.751 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.751 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
19.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
19.751 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
19.752 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
19.752 * [taylor]: Taking taylor expansion of a2 in a1
19.752 * [backup-simplify]: Simplify a2 into a2
19.752 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.752 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
19.752 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
19.752 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
19.752 * [taylor]: Taking taylor expansion of a1 in a1
19.752 * [backup-simplify]: Simplify 0 into 0
19.752 * [backup-simplify]: Simplify 1 into 1
19.752 * [backup-simplify]: Simplify (* 1 1) into 1
19.753 * [backup-simplify]: Simplify (/ 1 1) into 1
19.753 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a1
19.754 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.755 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.755 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
19.755 * [backup-simplify]: Simplify (- 0) into 0
19.755 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
19.756 * [backup-simplify]: Simplify (+ 0 1) into 1
19.756 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.757 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.762 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.762 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) in a2
19.762 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.762 * [taylor]: Taking taylor expansion of 1/3 in a2
19.762 * [backup-simplify]: Simplify 1/3 into 1/3
19.762 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.762 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.762 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.762 * [taylor]: Taking taylor expansion of 2.0 in a2
19.763 * [backup-simplify]: Simplify 2.0 into 2.0
19.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.765 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.767 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.769 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.773 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.778 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.778 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) in a2
19.778 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
19.778 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
19.778 * [taylor]: Taking taylor expansion of -1 in a2
19.778 * [backup-simplify]: Simplify -1 into -1
19.778 * [taylor]: Taking taylor expansion of th in a2
19.778 * [backup-simplify]: Simplify th into th
19.778 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
19.778 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.778 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
19.778 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.780 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.780 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.780 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
19.781 * [backup-simplify]: Simplify (- 0) into 0
19.781 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
19.782 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.784 * [backup-simplify]: Simplify (+ 0 0) into 0
19.785 * [backup-simplify]: Simplify (+ 0) into 0
19.785 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
19.785 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
19.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.787 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
19.787 * [backup-simplify]: Simplify (- 0) into 0
19.787 * [backup-simplify]: Simplify (+ 0 0) into 0
19.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
19.791 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.792 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.800 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.803 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.803 * [taylor]: Taking taylor expansion of 0 in a2
19.803 * [backup-simplify]: Simplify 0 into 0
19.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.805 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
19.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
19.807 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.808 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.808 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
19.809 * [backup-simplify]: Simplify (- 0) into 0
19.809 * [backup-simplify]: Simplify (+ 0 0) into 0
19.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
19.816 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into (/ (cos (/ -1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))
19.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.817 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
19.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
19.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
19.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.826 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2))))
19.826 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2)))) in a2
19.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in a2
19.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in a2
19.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in a2
19.826 * [taylor]: Taking taylor expansion of 1/3 in a2
19.826 * [backup-simplify]: Simplify 1/3 into 1/3
19.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in a2
19.826 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in a2
19.827 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in a2
19.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.827 * [taylor]: Taking taylor expansion of 2.0 in a2
19.827 * [backup-simplify]: Simplify 2.0 into 2.0
19.827 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.828 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.829 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.831 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.833 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.836 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.836 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2))) in a2
19.836 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
19.836 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
19.836 * [taylor]: Taking taylor expansion of -1 in a2
19.836 * [backup-simplify]: Simplify -1 into -1
19.836 * [taylor]: Taking taylor expansion of th in a2
19.836 * [backup-simplify]: Simplify th into th
19.836 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
19.836 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.836 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
19.836 * [taylor]: Taking taylor expansion of (* (fabs (pow (sqrt 2.0) 1/3)) (pow a2 2)) in a2
19.836 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in a2
19.837 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.837 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.837 * [taylor]: Taking taylor expansion of a2 in a2
19.837 * [backup-simplify]: Simplify 0 into 0
19.837 * [backup-simplify]: Simplify 1 into 1
19.837 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
19.837 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
19.837 * [backup-simplify]: Simplify (- 0) into 0
19.837 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
19.838 * [backup-simplify]: Simplify (* 1 1) into 1
19.839 * [backup-simplify]: Simplify (* (fabs (pow (sqrt 2.0) 1/3)) 1) into (fabs (pow (sqrt 2.0) 1/3))
19.840 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.843 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.843 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.843 * [taylor]: Taking taylor expansion of 1/3 in th
19.843 * [backup-simplify]: Simplify 1/3 into 1/3
19.843 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.843 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.843 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.843 * [taylor]: Taking taylor expansion of 2.0 in th
19.843 * [backup-simplify]: Simplify 2.0 into 2.0
19.844 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.846 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.848 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.850 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.854 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.859 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.859 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) in th
19.859 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.859 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.859 * [taylor]: Taking taylor expansion of -1 in th
19.859 * [backup-simplify]: Simplify -1 into -1
19.859 * [taylor]: Taking taylor expansion of th in th
19.859 * [backup-simplify]: Simplify 0 into 0
19.859 * [backup-simplify]: Simplify 1 into 1
19.860 * [backup-simplify]: Simplify (/ -1 1) into -1
19.860 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.860 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.862 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.863 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.867 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.870 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.874 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.874 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) in th
19.874 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) in th
19.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) in th
19.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) in th
19.874 * [taylor]: Taking taylor expansion of 1/3 in th
19.874 * [backup-simplify]: Simplify 1/3 into 1/3
19.874 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2.0) 2))) in th
19.874 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 2)) in th
19.874 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in th
19.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.874 * [taylor]: Taking taylor expansion of 2.0 in th
19.874 * [backup-simplify]: Simplify 2.0 into 2.0
19.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.876 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
19.877 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
19.878 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2.0) 2))) into (log (/ 1 (pow (sqrt 2.0) 2)))
19.881 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2)))) into (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))
19.883 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) into (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3)
19.883 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) in th
19.884 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.884 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.884 * [taylor]: Taking taylor expansion of -1 in th
19.884 * [backup-simplify]: Simplify -1 into -1
19.884 * [taylor]: Taking taylor expansion of th in th
19.884 * [backup-simplify]: Simplify 0 into 0
19.884 * [backup-simplify]: Simplify 1 into 1
19.884 * [backup-simplify]: Simplify (/ -1 1) into -1
19.884 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.884 * [taylor]: Taking taylor expansion of (fabs (pow (sqrt 2.0) 1/3)) in th
19.885 * [backup-simplify]: Simplify (fabs (pow (sqrt 2.0) 1/3)) into (fabs (pow (sqrt 2.0) 1/3))
19.886 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) into (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))
19.888 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.891 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))) into (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))
19.891 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
19.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
19.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.893 * [backup-simplify]: Simplify (+ 0 0) into 0
19.893 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.894 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.895 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.895 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.895 * [backup-simplify]: Simplify (- 0) into 0
19.896 * [backup-simplify]: Simplify (+ 0 0) into 0
19.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
19.902 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* (/ (cos (/ -1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3)))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.904 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
19.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.913 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 6) into 0
19.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))))) into 0
19.919 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
19.924 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 (/ (cos (/ -1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))))) into 0
19.924 * [taylor]: Taking taylor expansion of 0 in a2
19.924 * [backup-simplify]: Simplify 0 into 0
19.924 * [backup-simplify]: Simplify (+ 0) into 0
19.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
19.925 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
19.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
19.927 * [backup-simplify]: Simplify (- 0) into 0
19.927 * [backup-simplify]: Simplify (+ 0 0) into 0
19.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.929 * [backup-simplify]: Simplify (+ (* (fabs (pow (sqrt 2.0) 1/3)) 0) (* 0 1)) into 0
19.933 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.933 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.941 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.944 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.944 * [taylor]: Taking taylor expansion of 0 in th
19.944 * [backup-simplify]: Simplify 0 into 0
19.944 * [backup-simplify]: Simplify 0 into 0
19.944 * [taylor]: Taking taylor expansion of 0 in th
19.944 * [backup-simplify]: Simplify 0 into 0
19.944 * [backup-simplify]: Simplify 0 into 0
19.945 * [backup-simplify]: Simplify (+ 0) into 0
19.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
19.945 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
19.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
19.947 * [backup-simplify]: Simplify (- 0) into 0
19.947 * [backup-simplify]: Simplify (+ 0 0) into 0
19.951 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.951 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.956 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.962 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.962 * [taylor]: Taking taylor expansion of 0 in th
19.962 * [backup-simplify]: Simplify 0 into 0
19.962 * [backup-simplify]: Simplify 0 into 0
19.965 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.972 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.974 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.977 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.977 * [backup-simplify]: Simplify 0 into 0
19.981 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
19.982 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
19.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
19.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 1) into 0
19.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2))))) into 0
19.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.992 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))))) into 0
19.993 * [backup-simplify]: Simplify 0 into 0
19.993 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
19.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
19.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
19.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.996 * [backup-simplify]: Simplify (+ 0 0) into 0
19.999 * [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
20.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
20.000 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.004 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
20.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
20.005 * [backup-simplify]: Simplify (- 0) into 0
20.006 * [backup-simplify]: Simplify (+ 0 0) into 0
20.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
20.015 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* (/ (cos (/ -1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3)))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
20.017 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.018 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
20.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
20.028 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2.0) 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 24) into 0
20.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))))) into 0
20.032 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.035 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 (/ (cos (/ -1 th)) (* (pow a2 2) (fabs (pow (sqrt 2.0) 1/3))))) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))))))) into 0
20.035 * [taylor]: Taking taylor expansion of 0 in a2
20.036 * [backup-simplify]: Simplify 0 into 0
20.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
20.037 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
20.038 * [backup-simplify]: Simplify (- 0) into 0
20.038 * [backup-simplify]: Simplify (+ 0 0) into 0
20.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.039 * [backup-simplify]: Simplify (+ (* (fabs (pow (sqrt 2.0) 1/3)) 0) (+ (* 0 0) (* 0 1))) into 0
20.042 * [backup-simplify]: Simplify (- (/ 0 (fabs (pow (sqrt 2.0) 1/3))) (+ (* (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3))) (/ 0 (fabs (pow (sqrt 2.0) 1/3)))) (* 0 (/ 0 (fabs (pow (sqrt 2.0) 1/3)))))) into 0
20.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.043 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
20.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
20.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2.0) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2.0) 2)) 1)))) 2) into 0
20.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2.0) 2)))))) into 0
20.049 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (sqrt 2.0) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.051 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (fabs (pow (sqrt 2.0) 1/3)))))) into 0
20.051 * [taylor]: Taking taylor expansion of 0 in th
20.051 * [backup-simplify]: Simplify 0 into 0
20.051 * [backup-simplify]: Simplify 0 into 0
20.057 * [backup-simplify]: Simplify (+ (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 (/ 1 (- th)))) (fabs (pow (sqrt 2.0) 1/3)))) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (cos (/ -1 (/ 1 (- th)))) (fabs (pow (sqrt 2.0) 1/3)))) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (pow a1 2) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))))
20.057 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
20.058 * [backup-simplify]: Simplify (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
20.058 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th))) in (th) around 0
20.058 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th))) in th
20.058 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in th
20.058 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in th
20.058 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in th
20.058 * [taylor]: Taking taylor expansion of 1/6 in th
20.058 * [backup-simplify]: Simplify 1/6 into 1/6
20.058 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in th
20.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.058 * [taylor]: Taking taylor expansion of 2.0 in th
20.058 * [backup-simplify]: Simplify 2.0 into 2.0
20.059 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.060 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
20.060 * [backup-simplify]: Simplify (* 1/6 (log (sqrt 2.0))) into (* 1/6 (log (sqrt 2.0)))
20.062 * [backup-simplify]: Simplify (exp (* 1/6 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/6)
20.062 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th
20.062 * [taylor]: Taking taylor expansion of (cos th) in th
20.062 * [taylor]: Taking taylor expansion of th in th
20.062 * [backup-simplify]: Simplify 0 into 0
20.062 * [backup-simplify]: Simplify 1 into 1
20.062 * [backup-simplify]: Simplify (/ 1 1) into 1
20.062 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th))) in th
20.062 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in th
20.062 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in th
20.062 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in th
20.062 * [taylor]: Taking taylor expansion of 1/6 in th
20.062 * [backup-simplify]: Simplify 1/6 into 1/6
20.062 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in th
20.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.062 * [taylor]: Taking taylor expansion of 2.0 in th
20.062 * [backup-simplify]: Simplify 2.0 into 2.0
20.063 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.063 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
20.064 * [backup-simplify]: Simplify (* 1/6 (log (sqrt 2.0))) into (* 1/6 (log (sqrt 2.0)))
20.066 * [backup-simplify]: Simplify (exp (* 1/6 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/6)
20.066 * [taylor]: Taking taylor expansion of (/ 1 (cos th)) in th
20.066 * [taylor]: Taking taylor expansion of (cos th) in th
20.066 * [taylor]: Taking taylor expansion of th in th
20.066 * [backup-simplify]: Simplify 0 into 0
20.066 * [backup-simplify]: Simplify 1 into 1
20.066 * [backup-simplify]: Simplify (/ 1 1) into 1
20.067 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) 1) into (pow (sqrt 2.0) 1/6)
20.068 * [backup-simplify]: Simplify (pow (sqrt 2.0) 1/6) into (pow (sqrt 2.0) 1/6)
20.068 * [backup-simplify]: Simplify (+ 0) into 0
20.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
20.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
20.070 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (sqrt 2.0)))) into 0
20.071 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.072 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (* 0 1)) into 0
20.073 * [backup-simplify]: Simplify 0 into 0
20.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
20.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
20.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
20.081 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
20.083 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.087 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 1/2) (+ (* 0 0) (* 0 1))) into (* 1/2 (pow (sqrt 2.0) 1/6))
20.088 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2.0) 1/6)) into (* 1/2 (pow (sqrt 2.0) 1/6))
20.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
20.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.094 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
20.094 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
20.096 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.097 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
20.097 * [backup-simplify]: Simplify 0 into 0
20.099 * [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
20.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 5/24
20.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.110 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2.0) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 1)))) 24) into 0
20.112 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))) into 0
20.116 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.121 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 5/24) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into (* 5/24 (pow (sqrt 2.0) 1/6))
20.123 * [backup-simplify]: Simplify (* 5/24 (pow (sqrt 2.0) 1/6)) into (* 5/24 (pow (sqrt 2.0) 1/6))
20.128 * [backup-simplify]: Simplify (+ (* (* 5/24 (pow (sqrt 2.0) 1/6)) (pow th 4)) (+ (* (* 1/2 (pow (sqrt 2.0) 1/6)) (pow th 2)) (pow (sqrt 2.0) 1/6))) into (+ (pow (sqrt 2.0) 1/6) (+ (* 1/2 (* (pow (sqrt 2.0) 1/6) (pow th 2))) (* 5/24 (* (pow (sqrt 2.0) 1/6) (pow th 4)))))
20.130 * [backup-simplify]: Simplify (/ (sqrt (cbrt (sqrt 2.0))) (cos (/ 1 th))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th))))
20.130 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th)))) in (th) around 0
20.130 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th)))) in th
20.130 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in th
20.130 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in th
20.130 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in th
20.130 * [taylor]: Taking taylor expansion of 1/6 in th
20.130 * [backup-simplify]: Simplify 1/6 into 1/6
20.130 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in th
20.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.130 * [taylor]: Taking taylor expansion of 2.0 in th
20.130 * [backup-simplify]: Simplify 2.0 into 2.0
20.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.132 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
20.133 * [backup-simplify]: Simplify (* 1/6 (log (sqrt 2.0))) into (* 1/6 (log (sqrt 2.0)))
20.136 * [backup-simplify]: Simplify (exp (* 1/6 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/6)
20.136 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th
20.136 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
20.136 * [taylor]: Taking taylor expansion of (/ 1 th) in th
20.136 * [taylor]: Taking taylor expansion of th in th
20.136 * [backup-simplify]: Simplify 0 into 0
20.136 * [backup-simplify]: Simplify 1 into 1
20.136 * [backup-simplify]: Simplify (/ 1 1) into 1
20.136 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
20.136 * [backup-simplify]: Simplify (/ 1 (cos (/ 1 th))) into (/ 1 (cos (/ 1 th)))
20.136 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th)))) in th
20.136 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in th
20.136 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in th
20.137 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in th
20.137 * [taylor]: Taking taylor expansion of 1/6 in th
20.137 * [backup-simplify]: Simplify 1/6 into 1/6
20.137 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in th
20.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.137 * [taylor]: Taking taylor expansion of 2.0 in th
20.137 * [backup-simplify]: Simplify 2.0 into 2.0
20.137 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.139 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
20.141 * [backup-simplify]: Simplify (* 1/6 (log (sqrt 2.0))) into (* 1/6 (log (sqrt 2.0)))
20.143 * [backup-simplify]: Simplify (exp (* 1/6 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/6)
20.143 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ 1 th))) in th
20.143 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
20.143 * [taylor]: Taking taylor expansion of (/ 1 th) in th
20.143 * [taylor]: Taking taylor expansion of th in th
20.143 * [backup-simplify]: Simplify 0 into 0
20.143 * [backup-simplify]: Simplify 1 into 1
20.143 * [backup-simplify]: Simplify (/ 1 1) into 1
20.144 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
20.144 * [backup-simplify]: Simplify (/ 1 (cos (/ 1 th))) into (/ 1 (cos (/ 1 th)))
20.145 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th)))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th))))
20.146 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th)))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 th))))
20.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
20.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
20.149 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (sqrt 2.0)))) into 0
20.151 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.152 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (* 0 (/ 1 (cos (/ 1 th))))) into 0
20.152 * [backup-simplify]: Simplify 0 into 0
20.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
20.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
20.158 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
20.161 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.162 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))) into 0
20.162 * [backup-simplify]: Simplify 0 into 0
20.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
20.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.170 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
20.171 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
20.175 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.176 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th))))))) into 0
20.176 * [backup-simplify]: Simplify 0 into 0
20.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
20.179 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.190 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2.0) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 1)))) 24) into 0
20.192 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))) into 0
20.196 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.199 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))))) into 0
20.199 * [backup-simplify]: Simplify 0 into 0
20.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
20.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.217 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2.0) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2.0) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2.0) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2.0) 1)))) 120) into 0
20.218 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))))) into 0
20.221 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.222 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th))))))))) into 0
20.223 * [backup-simplify]: Simplify 0 into 0
20.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
20.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.248 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2.0) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2.0) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2.0) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2.0) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2.0) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2.0) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2.0) 1)))) 720) into 0
20.250 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))))) into 0
20.258 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.261 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1 th)))))))))) into 0
20.261 * [backup-simplify]: Simplify 0 into 0
20.262 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ 1 (/ 1 th))))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
20.264 * [backup-simplify]: Simplify (/ (sqrt (cbrt (sqrt 2.0))) (cos (/ 1 (- th)))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th))))
20.264 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th)))) in (th) around 0
20.264 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th)))) in th
20.264 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in th
20.264 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in th
20.264 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in th
20.264 * [taylor]: Taking taylor expansion of 1/6 in th
20.264 * [backup-simplify]: Simplify 1/6 into 1/6
20.264 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in th
20.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.264 * [taylor]: Taking taylor expansion of 2.0 in th
20.264 * [backup-simplify]: Simplify 2.0 into 2.0
20.264 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.266 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
20.267 * [backup-simplify]: Simplify (* 1/6 (log (sqrt 2.0))) into (* 1/6 (log (sqrt 2.0)))
20.269 * [backup-simplify]: Simplify (exp (* 1/6 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/6)
20.269 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th
20.270 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
20.270 * [taylor]: Taking taylor expansion of (/ -1 th) in th
20.270 * [taylor]: Taking taylor expansion of -1 in th
20.270 * [backup-simplify]: Simplify -1 into -1
20.270 * [taylor]: Taking taylor expansion of th in th
20.270 * [backup-simplify]: Simplify 0 into 0
20.270 * [backup-simplify]: Simplify 1 into 1
20.270 * [backup-simplify]: Simplify (/ -1 1) into -1
20.270 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.270 * [backup-simplify]: Simplify (/ 1 (cos (/ -1 th))) into (/ 1 (cos (/ -1 th)))
20.270 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th)))) in th
20.270 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/6) in th
20.270 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (sqrt 2.0)))) in th
20.270 * [taylor]: Taking taylor expansion of (* 1/6 (log (sqrt 2.0))) in th
20.270 * [taylor]: Taking taylor expansion of 1/6 in th
20.271 * [backup-simplify]: Simplify 1/6 into 1/6
20.271 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in th
20.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.271 * [taylor]: Taking taylor expansion of 2.0 in th
20.271 * [backup-simplify]: Simplify 2.0 into 2.0
20.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.272 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
20.273 * [backup-simplify]: Simplify (* 1/6 (log (sqrt 2.0))) into (* 1/6 (log (sqrt 2.0)))
20.274 * [backup-simplify]: Simplify (exp (* 1/6 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/6)
20.274 * [taylor]: Taking taylor expansion of (/ 1 (cos (/ -1 th))) in th
20.274 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
20.274 * [taylor]: Taking taylor expansion of (/ -1 th) in th
20.274 * [taylor]: Taking taylor expansion of -1 in th
20.274 * [backup-simplify]: Simplify -1 into -1
20.274 * [taylor]: Taking taylor expansion of th in th
20.274 * [backup-simplify]: Simplify 0 into 0
20.274 * [backup-simplify]: Simplify 1 into 1
20.274 * [backup-simplify]: Simplify (/ -1 1) into -1
20.274 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.274 * [backup-simplify]: Simplify (/ 1 (cos (/ -1 th))) into (/ 1 (cos (/ -1 th)))
20.275 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th)))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th))))
20.276 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th)))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 th))))
20.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
20.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
20.278 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (sqrt 2.0)))) into 0
20.278 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.279 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (* 0 (/ 1 (cos (/ -1 th))))) into 0
20.279 * [backup-simplify]: Simplify 0 into 0
20.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
20.280 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
20.282 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
20.284 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.284 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))) into 0
20.284 * [backup-simplify]: Simplify 0 into 0
20.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
20.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.288 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
20.289 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
20.291 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.292 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th))))))) into 0
20.292 * [backup-simplify]: Simplify 0 into 0
20.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
20.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.300 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2.0) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2.0) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2.0) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 1)))) 24) into 0
20.302 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))) into 0
20.306 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.309 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))))) into 0
20.309 * [backup-simplify]: Simplify 0 into 0
20.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
20.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.329 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2.0) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2.0) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2.0) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2.0) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2.0) 1)))) 120) into 0
20.331 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))))) into 0
20.337 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.339 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th))))))))) into 0
20.339 * [backup-simplify]: Simplify 0 into 0
20.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
20.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.375 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2.0) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2.0) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2.0) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2.0) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2.0) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2.0) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2.0) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2.0) 1)))) 720) into 0
20.377 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))))))) into 0
20.381 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (sqrt 2.0)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.382 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/6) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1 th)))))))))) into 0
20.382 * [backup-simplify]: Simplify 0 into 0
20.383 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/6) (/ 1 (cos (/ -1 (/ 1 (- th)))))) into (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
20.383 * * * [progress]: simplifying candidates
20.483 * [simplify]: Simplifying:
  (- (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2.0)))) (- (log (sqrt (cbrt (sqrt 2.0)))) (log (cos th))))
  (- (- (log (+ (* a1 a1) (* a2 a2))) (log (sqrt (sqrt 2.0)))) (log (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (- (log (sqrt (cbrt (sqrt 2.0)))) (log (cos th))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (log (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (log (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (exp (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (cbrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* (* (cos th) (cos th)) (cos th))))
  (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (cbrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* (* (cos th) (cos th)) (cos th))))
  (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (- (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (- (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) 1)
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
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  (sqrt (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (* (fabs (cbrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 1))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1)) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1)) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 1))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt 1)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 1) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt 1))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 1)) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (/ 1 1)))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) 1)
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))))
  (* (cbrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ (cbrt 1) (cbrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ (cbrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ (cbrt 1) (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ (sqrt 1) (cbrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ (sqrt 1) (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (cbrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (* 1 (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (- (log (sqrt (cbrt (sqrt 2.0)))) (log (cos th)))
  (log (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (exp (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (* (sqrt (cbrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (- (sqrt (cbrt (sqrt 2.0))))
  (- (cos th))
  (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) 1)
  (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) 1)
  (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 1))) 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) 1)
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cbrt 1)) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt 1)) 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) 1)
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt 1) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt 1) 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) 1)
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ 1 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) 1)
  (/ (cos th) (cbrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt (cbrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (pow a1 2)) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (pow a2 2)))
  (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (pow a1 2) (cos th))))
  (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (cos th) (pow a2 2))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (* (pow a1 2) (cos th))))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (* (sqrt (/ 1 (sqrt 2.0))) (pow a1 2)) (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))
  (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (pow a1 2) (fabs (pow (sqrt 2.0) 1/3)))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (pow a2 2) (fabs (pow (sqrt 2.0) 1/3)))))
  (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (pow a1 2) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))))
  (+ (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (pow a1 2) (cos th)) (fabs (pow (sqrt 2.0) 1/3)))) (* (pow (/ 1 (pow (sqrt 2.0) 2)) 1/3) (/ (* (cos th) (pow a2 2)) (fabs (pow (sqrt 2.0) 1/3)))))
  (+ (pow (sqrt 2.0) 1/6) (+ (* 1/2 (* (pow (sqrt 2.0) 1/6) (pow th 2))) (* 5/24 (* (pow (sqrt 2.0) 1/6) (pow th 4)))))
  (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
  (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
20.635 * * [simplify]: iteration 0: 2479 enodes
24.176 * * [simplify]: iteration complete: 5000 enodes
24.191 * * [simplify]: Extracting #0: cost 2163 inf + 0
24.207 * * [simplify]: Extracting #1: cost 3437 inf + 1
24.225 * * [simplify]: Extracting #2: cost 3491 inf + 519
24.243 * * [simplify]: Extracting #3: cost 3494 inf + 2061
24.264 * * [simplify]: Extracting #4: cost 3434 inf + 13101
24.298 * * [simplify]: Extracting #5: cost 3251 inf + 78093
24.404 * * [simplify]: Extracting #6: cost 2073 inf + 683204
24.654 * * [simplify]: Extracting #7: cost 685 inf + 1546882
24.971 * * [simplify]: Extracting #8: cost 41 inf + 2012431
25.367 * * [simplify]: Extracting #9: cost 1 inf + 2042796
25.733 * * [simplify]: Extracting #10: cost 0 inf + 2043581
26.170 * [simplify]: Simplified to:
  (log (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (log (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (log (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (log (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (log (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (exp (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt 2.0))) (/ (* (cbrt (sqrt 2.0)) (sqrt (cbrt (sqrt 2.0)))) (* (cos th) (* (cos th) (cos th)))))
  (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt 2.0))) (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt 2.0)) (sqrt (cbrt (sqrt 2.0)))) (* (cos th) (* (cos th) (cos th)))))
  (* (/ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (- (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (- (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt (fabs (cbrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 1))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (cbrt 1)))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (fabs (cbrt (cbrt (sqrt 2.0)))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 1))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt 1)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (fabs (cbrt (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 1))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt 1)))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (fabs (cbrt (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt 1))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
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  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 1))))
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  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 1)))
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  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 1))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (fabs (cbrt 2.0)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt 1)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (cos th)))
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  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
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  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (cbrt 2.0)))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
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  (/ (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ 1 (sqrt (sqrt 2.0))))
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  (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (sqrt (sqrt 2.0)))
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  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (cbrt 2.0))))
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  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt 1)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
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  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
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  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt (sqrt 2.0))))
  1
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  (/ (* (/ 1 (* (* (fabs (cbrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt 2.0)) (sqrt (cbrt (sqrt 2.0)))) (* (cos th) (* (cos th) (cos th)))))
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  (* (/ 1 (* (* (fabs (cbrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt 2.0))) (/ (* (cbrt (sqrt 2.0)) (sqrt (cbrt (sqrt 2.0)))) (* (cos th) (* (cos th) (cos th))))))
  (/ (* (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (sqrt 2.0)) (sqrt 2.0)))) (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt 2.0)) (sqrt (cbrt (sqrt 2.0)))) (* (cos th) (* (cos th) (cos th)))))
  (/ (* (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (* (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (* (* (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (cbrt (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))) (cbrt (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (cbrt (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (sqrt (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (sqrt (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (* (fabs (cbrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (sqrt 1) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (/ (* (sqrt 1) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (sqrt (fabs (cbrt (sqrt 2.0)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (cbrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))) (/ (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (cbrt 1)))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (fabs (cbrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1)))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (cbrt (sqrt 2.0))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 1)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt 1)))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* 1 (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))) (fabs (cbrt (sqrt 2.0))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (fabs (cbrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (sqrt 1))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0))))) (/ 1 (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (fabs (cbrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt 1)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (sqrt (sqrt (cbrt (sqrt 2.0))))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0))))) (/ 1 (sqrt (cos th))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
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  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (fabs (cbrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 1)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cbrt 1))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (fabs (cbrt (cbrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 1 (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (fabs (cbrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 1)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt 1)))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (fabs (cbrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ 1 (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* 1 (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))) (fabs (cbrt (sqrt 2.0))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (sqrt (cbrt (fabs (cbrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (sqrt (cbrt (sqrt 1))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (cbrt 1)) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt 1))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (fabs (cbrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (sqrt 1))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0))))) (/ 1 (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (fabs (cbrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (fabs (cbrt 2.0))))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 1)))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1))) (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1))) (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt 1))) (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) (sqrt (cos th))))
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  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (cos th))))
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  (/ 1 (fabs (cbrt (sqrt 2.0))))
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  (/ (* (sqrt (/ 1 (fabs (cbrt (sqrt 2.0))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
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  (/ (* (/ (cbrt 1) (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (/ (sqrt 1) (cbrt (fabs (cbrt (sqrt 2.0))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (sqrt 1) (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (/ (sqrt 1) (fabs (cbrt (sqrt 2.0)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (/ 1 (cbrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (sqrt (fabs (cbrt (sqrt 2.0))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (/ (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (log (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (log (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (exp (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (sqrt (cbrt (sqrt 2.0)))) (* (cos th) (* (cos th) (cos th))))
  (* (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th))))
  (cbrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (* (/ (sqrt (cbrt (sqrt 2.0))) (cos th)) (/ (sqrt (cbrt (sqrt 2.0))) (cos th))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (sqrt (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (- (sqrt (cbrt (sqrt 2.0))))
  (- (cos th))
  (* (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))) (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th))))
  (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (cbrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (sqrt (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (sqrt (cbrt (fabs (cbrt 2.0))))
  (/ (sqrt (cbrt (sqrt (cbrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (sqrt (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt (sqrt 1))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt 1))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (cbrt (sqrt 1)))
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (sqrt (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt (sqrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (cbrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cbrt 1)) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (cbrt 1))
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (fabs (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (fabs (cbrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (sqrt (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt 1) (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt 1)
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (sqrt (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (cbrt (sqrt 2.0)))) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  1
  (/ (sqrt (cbrt (sqrt 2.0))) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (cbrt (sqrt 2.0)))
  (/ (cos th) (cbrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt (cbrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (* (cbrt (/ 1 (* (sqrt 2.0) (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (/ 1 (* (sqrt 2.0) (sqrt 2.0)))) (+ (* (cos th) (* a2 a2)) (* (* a1 a1) (cos th))))
  (* (cbrt (/ 1 (* (sqrt 2.0) (sqrt 2.0)))) (+ (* (cos th) (* a2 a2)) (* (* a1 a1) (cos th))))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
  (* (sqrt (/ 1 (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (/ 1 (* (sqrt 2.0) (sqrt 2.0)))) (+ (/ (* a1 a1) (fabs (cbrt (sqrt 2.0)))) (/ (* a2 a2) (fabs (cbrt (sqrt 2.0))))))
  (* (cbrt (/ 1 (* (sqrt 2.0) (sqrt 2.0)))) (+ (/ (* (* a1 a1) (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (* (cos th) (* a2 a2)) (fabs (cbrt (sqrt 2.0))))))
  (* (cbrt (/ 1 (* (sqrt 2.0) (sqrt 2.0)))) (+ (/ (* (* a1 a1) (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (* (cos th) (* a2 a2)) (fabs (cbrt (sqrt 2.0))))))
  (+ (+ (pow (sqrt 2.0) 1/6) (* 1/2 (* (pow (sqrt 2.0) 1/6) (* th th)))) (* (* 5/24 (pow (sqrt 2.0) 1/6)) (pow th 4)))
  (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
  (* (pow (sqrt 2.0) 1/6) (/ 1 (cos th)))
26.899 * * * [progress]: adding candidates to table
50.456 * [progress]: [Phase 3 of 3] Extracting.
50.456 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.457 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1)
50.457 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.547 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.608 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.677 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.728 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.786 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (* (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 1)) (sqrt (cbrt (sqrt 2.0))))) (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ 1 (sqrt (sqrt 2.0))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ 1 (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th)))> #<alt (λ (a1 a2 th) (* (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))>)
50.854 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
50.854 * [simplify]: Simplifying:
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cos th))
50.854 * * [simplify]: iteration 0: 11 enodes
50.855 * * [simplify]: iteration 1: 13 enodes
50.856 * * [simplify]: iteration complete: 13 enodes
50.856 * * [simplify]: Extracting #0: cost 1 inf + 0
50.856 * * [simplify]: Extracting #1: cost 3 inf + 0
50.856 * * [simplify]: Extracting #2: cost 6 inf + 0
50.856 * * [simplify]: Extracting #3: cost 8 inf + 1
50.856 * * [simplify]: Extracting #4: cost 7 inf + 104
50.856 * * [simplify]: Extracting #5: cost 4 inf + 147
50.856 * * [simplify]: Extracting #6: cost 0 inf + 817
50.856 * [simplify]: Simplified to:
  (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)))
57.894 * [regime-testing]: Baseline error score: 0.48606921960753036
57.907 * [regime-testing]: Oracle error score: 0.08101012626578322
57.924 * [regime-testing]: End program error score: 0.48606921960753036