52.149 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.175 * * * [progress]: [2/2] Setting up program.
0.179 * [progress]: [Phase 2 of 3] Improving.
0.182 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.182 * * [simplify]: iteration 0: 12 enodes
0.185 * * [simplify]: iteration 1: 25 enodes
0.192 * * [simplify]: iteration 2: 49 enodes
0.203 * * [simplify]: iteration 3: 76 enodes
0.212 * * [simplify]: iteration 4: 95 enodes
0.223 * * [simplify]: iteration 5: 111 enodes
0.239 * * [simplify]: iteration 6: 126 enodes
0.271 * * [simplify]: iteration 7: 142 enodes
0.286 * * [simplify]: iteration complete: 142 enodes
0.286 * * [simplify]: Extracting #0: cost 1 inf + 0
0.286 * * [simplify]: Extracting #1: cost 12 inf + 0
0.287 * * [simplify]: Extracting #2: cost 34 inf + 0
0.287 * * [simplify]: Extracting #3: cost 25 inf + 24
0.287 * * [simplify]: Extracting #4: cost 4 inf + 156
0.287 * * [simplify]: Extracting #5: cost 0 inf + 193
0.287 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
0.292 * * [progress]: iteration 1 / 4
0.293 * * * [progress]: picking best candidate
0.301 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))>
0.301 * * * [progress]: localizing error
0.326 * * * [progress]: generating rewritten candidates
0.326 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.373 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.378 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.394 * * * [progress]: generating series expansions
0.394 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.395 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
0.395 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
0.395 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
0.396 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
0.396 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
0.396 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.396 * [taylor]: Taking taylor expansion of a2 in th
0.396 * [backup-simplify]: Simplify a2 into a2
0.396 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.396 * [taylor]: Taking taylor expansion of a1 in th
0.396 * [backup-simplify]: Simplify a1 into a1
0.396 * [taylor]: Taking taylor expansion of (cos th) in th
0.396 * [taylor]: Taking taylor expansion of th in th
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.396 * [taylor]: Taking taylor expansion of 2.0 in th
0.396 * [backup-simplify]: Simplify 2.0 into 2.0
0.396 * [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 (* a2 a2) into (pow a2 2)
0.397 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.397 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
0.398 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
0.398 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
0.398 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
0.398 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
0.398 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.398 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.398 * [taylor]: Taking taylor expansion of a2 in a2
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.398 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.398 * [taylor]: Taking taylor expansion of a1 in a2
0.399 * [backup-simplify]: Simplify a1 into a1
0.399 * [taylor]: Taking taylor expansion of (cos th) in a2
0.399 * [taylor]: Taking taylor expansion of th in a2
0.399 * [backup-simplify]: Simplify th into th
0.399 * [backup-simplify]: Simplify (cos th) into (cos th)
0.399 * [backup-simplify]: Simplify (sin th) into (sin th)
0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.399 * [taylor]: Taking taylor expansion of 2.0 in a2
0.399 * [backup-simplify]: Simplify 2.0 into 2.0
0.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.400 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.400 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
0.400 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.401 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.401 * [backup-simplify]: Simplify (- 0) into 0
0.401 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.401 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
0.402 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.402 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.402 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.402 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.402 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.402 * [taylor]: Taking taylor expansion of a2 in a1
0.402 * [backup-simplify]: Simplify a2 into a2
0.402 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.402 * [taylor]: Taking taylor expansion of a1 in a1
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [taylor]: Taking taylor expansion of (cos th) in a1
0.402 * [taylor]: Taking taylor expansion of th in a1
0.402 * [backup-simplify]: Simplify th into th
0.402 * [backup-simplify]: Simplify (cos th) into (cos th)
0.402 * [backup-simplify]: Simplify (sin th) into (sin th)
0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.402 * [taylor]: Taking taylor expansion of 2.0 in a1
0.402 * [backup-simplify]: Simplify 2.0 into 2.0
0.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.403 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.404 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.404 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.404 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.404 * [backup-simplify]: Simplify (- 0) into 0
0.404 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.404 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.405 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.405 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.405 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.405 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.405 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.405 * [taylor]: Taking taylor expansion of a2 in a1
0.405 * [backup-simplify]: Simplify a2 into a2
0.405 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.405 * [taylor]: Taking taylor expansion of a1 in a1
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [taylor]: Taking taylor expansion of (cos th) in a1
0.405 * [taylor]: Taking taylor expansion of th in a1
0.405 * [backup-simplify]: Simplify th into th
0.405 * [backup-simplify]: Simplify (cos th) into (cos th)
0.405 * [backup-simplify]: Simplify (sin th) into (sin th)
0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.405 * [taylor]: Taking taylor expansion of 2.0 in a1
0.405 * [backup-simplify]: Simplify 2.0 into 2.0
0.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.407 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.407 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.407 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.407 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.407 * [backup-simplify]: Simplify (- 0) into 0
0.407 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.407 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.408 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.408 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.408 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) 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 (pow a2 2) in a2
0.408 * [taylor]: Taking taylor expansion of a2 in a2
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
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 (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.410 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.410 * [backup-simplify]: Simplify (+ 0) into 0
0.410 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.411 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.412 * [backup-simplify]: Simplify (- 0) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
0.413 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.413 * [taylor]: Taking taylor expansion of 0 in a2
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [taylor]: Taking taylor expansion of 0 in th
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.414 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
0.415 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.415 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
0.415 * [backup-simplify]: Simplify (- 0) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.416 * [backup-simplify]: Simplify (+ 0 1) into 1
0.417 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.419 * [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))
0.419 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
0.419 * [taylor]: Taking taylor expansion of (cos th) in a2
0.419 * [taylor]: Taking taylor expansion of th in a2
0.419 * [backup-simplify]: Simplify th into th
0.419 * [backup-simplify]: Simplify (cos th) into (cos th)
0.419 * [backup-simplify]: Simplify (sin th) into (sin th)
0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.419 * [taylor]: Taking taylor expansion of 2.0 in a2
0.419 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.420 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.420 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.420 * [backup-simplify]: Simplify (- 0) into 0
0.420 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.420 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.420 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.420 * [taylor]: Taking taylor expansion of (cos th) in th
0.420 * [taylor]: Taking taylor expansion of th in th
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.420 * [taylor]: Taking taylor expansion of 2.0 in th
0.420 * [backup-simplify]: Simplify 2.0 into 2.0
0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.422 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.422 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.422 * [taylor]: Taking taylor expansion of 0 in th
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.422 * [taylor]: Taking taylor expansion of (cos th) in th
0.422 * [taylor]: Taking taylor expansion of th in th
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.422 * [taylor]: Taking taylor expansion of 2.0 in th
0.422 * [backup-simplify]: Simplify 2.0 into 2.0
0.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.424 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.425 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.427 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.427 * [backup-simplify]: Simplify (- 0) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.427 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.432 * [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
0.432 * [taylor]: Taking taylor expansion of 0 in a2
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [taylor]: Taking taylor expansion of 0 in th
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify (+ 0) into 0
0.433 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.434 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.434 * [backup-simplify]: Simplify (- 0) into 0
0.434 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.436 * [taylor]: Taking taylor expansion of 0 in th
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [taylor]: Taking taylor expansion of 0 in th
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify (+ 0) into 0
0.437 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.439 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.439 * [backup-simplify]: Simplify (- 0) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.441 * [taylor]: Taking taylor expansion of 0 in th
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ 0) into 0
0.443 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.445 * [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)))
0.446 * [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))
0.446 * [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
0.446 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.446 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.446 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.446 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.446 * [taylor]: Taking taylor expansion of th in th
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (/ 1 1) into 1
0.446 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.446 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.446 * [taylor]: Taking taylor expansion of a2 in th
0.446 * [backup-simplify]: Simplify a2 into a2
0.446 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.447 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.447 * [taylor]: Taking taylor expansion of a1 in th
0.447 * [backup-simplify]: Simplify a1 into a1
0.447 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.447 * [taylor]: Taking taylor expansion of 2.0 in th
0.447 * [backup-simplify]: Simplify 2.0 into 2.0
0.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.448 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.448 * [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))))
0.449 * [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))
0.449 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.449 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.449 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.449 * [taylor]: Taking taylor expansion of th in a2
0.449 * [backup-simplify]: Simplify th into th
0.449 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.449 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.449 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.449 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.449 * [taylor]: Taking taylor expansion of a2 in a2
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (/ 1 1) into 1
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.450 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.450 * [taylor]: Taking taylor expansion of a1 in a2
0.450 * [backup-simplify]: Simplify a1 into a1
0.450 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.450 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.450 * [taylor]: Taking taylor expansion of 2.0 in a2
0.450 * [backup-simplify]: Simplify 2.0 into 2.0
0.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.451 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.451 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.451 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.451 * [backup-simplify]: Simplify (+ 1 0) into 1
0.451 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.452 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.452 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.452 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.452 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.452 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.452 * [taylor]: Taking taylor expansion of th in a1
0.452 * [backup-simplify]: Simplify th into th
0.452 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.452 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.452 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.452 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.452 * [taylor]: Taking taylor expansion of a2 in a1
0.452 * [backup-simplify]: Simplify a2 into a2
0.452 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.452 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.452 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.452 * [taylor]: Taking taylor expansion of a1 in a1
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.453 * [taylor]: Taking taylor expansion of 2.0 in a1
0.453 * [backup-simplify]: Simplify 2.0 into 2.0
0.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.454 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.454 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.454 * [backup-simplify]: Simplify (- 0) into 0
0.454 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.458 * [backup-simplify]: Simplify (+ 0 1) into 1
0.458 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.458 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.459 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.459 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.459 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.459 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.459 * [taylor]: Taking taylor expansion of th in a1
0.459 * [backup-simplify]: Simplify th into th
0.459 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.459 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.459 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.459 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.459 * [taylor]: Taking taylor expansion of a2 in a1
0.459 * [backup-simplify]: Simplify a2 into a2
0.459 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.459 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.459 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.459 * [taylor]: Taking taylor expansion of a1 in a1
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.460 * [taylor]: Taking taylor expansion of 2.0 in a1
0.460 * [backup-simplify]: Simplify 2.0 into 2.0
0.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.460 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.460 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.461 * [backup-simplify]: Simplify (+ 0 1) into 1
0.461 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
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 a2
0.462 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.462 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.462 * [taylor]: Taking taylor expansion of th in a2
0.462 * [backup-simplify]: Simplify th into th
0.462 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.462 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.462 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.462 * [taylor]: Taking taylor expansion of 2.0 in a2
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.463 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.463 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.463 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.463 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 0) into 0
0.465 * [backup-simplify]: Simplify (+ 0) into 0
0.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.466 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.468 * [taylor]: Taking taylor expansion of 0 in a2
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.470 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.471 * [backup-simplify]: Simplify (- 0) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
0.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.474 * [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)))
0.474 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.474 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.474 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.474 * [taylor]: Taking taylor expansion of th in a2
0.474 * [backup-simplify]: Simplify th into th
0.474 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.474 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.474 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.474 * [taylor]: Taking taylor expansion of 2.0 in a2
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.475 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.475 * [taylor]: Taking taylor expansion of a2 in a2
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.475 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.475 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.476 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.476 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.476 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.476 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.477 * [taylor]: Taking taylor expansion of th in th
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (/ 1 1) into 1
0.477 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.477 * [taylor]: Taking taylor expansion of 2.0 in th
0.477 * [backup-simplify]: Simplify 2.0 into 2.0
0.477 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.478 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.478 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.478 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.478 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.478 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.478 * [taylor]: Taking taylor expansion of th in th
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.479 * [taylor]: Taking taylor expansion of 2.0 in th
0.479 * [backup-simplify]: Simplify 2.0 into 2.0
0.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.480 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.480 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.480 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.484 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.490 * [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
0.490 * [taylor]: Taking taylor expansion of 0 in a2
0.490 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (+ 0) into 0
0.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.496 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.496 * [taylor]: Taking taylor expansion of 0 in th
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [taylor]: Taking taylor expansion of 0 in th
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (+ 0) into 0
0.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.499 * [backup-simplify]: Simplify (- 0) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in th
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.502 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.509 * [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
0.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.512 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.513 * [backup-simplify]: Simplify (- 0) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.516 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.519 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.519 * [taylor]: Taking taylor expansion of 0 in a2
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.522 * [backup-simplify]: Simplify (- 0) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.524 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.525 * [taylor]: Taking taylor expansion of 0 in th
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.526 * [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)))
0.526 * [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))
0.526 * [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
0.526 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.526 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.526 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.526 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.526 * [taylor]: Taking taylor expansion of -1 in th
0.526 * [backup-simplify]: Simplify -1 into -1
0.527 * [taylor]: Taking taylor expansion of th in th
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (/ -1 1) into -1
0.527 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.527 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.527 * [taylor]: Taking taylor expansion of a2 in th
0.527 * [backup-simplify]: Simplify a2 into a2
0.527 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.527 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.527 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.527 * [taylor]: Taking taylor expansion of a1 in th
0.527 * [backup-simplify]: Simplify a1 into a1
0.527 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.527 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.527 * [taylor]: Taking taylor expansion of 2.0 in th
0.527 * [backup-simplify]: Simplify 2.0 into 2.0
0.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.528 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.528 * [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))))
0.529 * [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))
0.529 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.529 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) 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 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.529 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.529 * [taylor]: Taking taylor expansion of a2 in a2
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.530 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.530 * [taylor]: Taking taylor expansion of a1 in a2
0.530 * [backup-simplify]: Simplify a1 into a1
0.530 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.530 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.530 * [taylor]: Taking taylor expansion of 2.0 in a2
0.530 * [backup-simplify]: Simplify 2.0 into 2.0
0.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.531 * [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 (+ 1 0) into 1
0.531 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.532 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.532 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.532 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.532 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.532 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.532 * [taylor]: Taking taylor expansion of -1 in a1
0.532 * [backup-simplify]: Simplify -1 into -1
0.532 * [taylor]: Taking taylor expansion of th in a1
0.532 * [backup-simplify]: Simplify th into th
0.532 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.532 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.532 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.532 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.532 * [taylor]: Taking taylor expansion of a2 in a1
0.532 * [backup-simplify]: Simplify a2 into a2
0.532 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.532 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.532 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.532 * [taylor]: Taking taylor expansion of a1 in a1
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (* 1 1) into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.533 * [taylor]: Taking taylor expansion of 2.0 in a1
0.533 * [backup-simplify]: Simplify 2.0 into 2.0
0.533 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.534 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.534 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.534 * [backup-simplify]: Simplify (- 0) into 0
0.534 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.534 * [backup-simplify]: Simplify (+ 0 1) into 1
0.534 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.535 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.535 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.535 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.535 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.535 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.535 * [taylor]: Taking taylor expansion of -1 in a1
0.535 * [backup-simplify]: Simplify -1 into -1
0.535 * [taylor]: Taking taylor expansion of th in a1
0.535 * [backup-simplify]: Simplify th into th
0.535 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.535 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.535 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.535 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.535 * [taylor]: Taking taylor expansion of a2 in a1
0.535 * [backup-simplify]: Simplify a2 into a2
0.535 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.535 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.535 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.535 * [taylor]: Taking taylor expansion of a1 in a1
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (* 1 1) into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.536 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.536 * [taylor]: Taking taylor expansion of 2.0 in a1
0.536 * [backup-simplify]: Simplify 2.0 into 2.0
0.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.537 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.538 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.538 * [backup-simplify]: Simplify (- 0) into 0
0.538 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.538 * [backup-simplify]: Simplify (+ 0 1) into 1
0.539 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.539 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.539 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
0.539 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.539 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.539 * [taylor]: Taking taylor expansion of -1 in a2
0.539 * [backup-simplify]: Simplify -1 into -1
0.539 * [taylor]: Taking taylor expansion of th in a2
0.539 * [backup-simplify]: Simplify th into th
0.539 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.539 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.539 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.539 * [taylor]: Taking taylor expansion of 2.0 in a2
0.540 * [backup-simplify]: Simplify 2.0 into 2.0
0.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.541 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.541 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.541 * [backup-simplify]: Simplify (- 0) into 0
0.541 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.542 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (+ 0) into 0
0.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.544 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.546 * [backup-simplify]: Simplify (- 0) into 0
0.546 * [backup-simplify]: Simplify (+ 0 0) into 0
0.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.548 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.548 * [taylor]: Taking taylor expansion of 0 in a2
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.554 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
0.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.558 * [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)))
0.558 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.558 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.558 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.558 * [taylor]: Taking taylor expansion of -1 in a2
0.558 * [backup-simplify]: Simplify -1 into -1
0.559 * [taylor]: Taking taylor expansion of th in a2
0.559 * [backup-simplify]: Simplify th into th
0.559 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.559 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.559 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.559 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.559 * [taylor]: Taking taylor expansion of 2.0 in a2
0.559 * [backup-simplify]: Simplify 2.0 into 2.0
0.559 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.560 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.560 * [taylor]: Taking taylor expansion of a2 in a2
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.560 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.561 * [backup-simplify]: Simplify (- 0) into 0
0.561 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.561 * [backup-simplify]: Simplify (* 1 1) into 1
0.562 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.562 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.562 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.562 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.562 * [taylor]: Taking taylor expansion of -1 in th
0.562 * [backup-simplify]: Simplify -1 into -1
0.562 * [taylor]: Taking taylor expansion of th in th
0.562 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (/ -1 1) into -1
0.563 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.563 * [taylor]: Taking taylor expansion of 2.0 in th
0.563 * [backup-simplify]: Simplify 2.0 into 2.0
0.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.565 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.565 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.565 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.565 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.565 * [taylor]: Taking taylor expansion of -1 in th
0.565 * [backup-simplify]: Simplify -1 into -1
0.565 * [taylor]: Taking taylor expansion of th in th
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (/ -1 1) into -1
0.566 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.566 * [taylor]: Taking taylor expansion of 2.0 in th
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.568 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.568 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.580 * [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 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.585 * [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
0.585 * [taylor]: Taking taylor expansion of 0 in a2
0.585 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (+ 0) into 0
0.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.588 * [backup-simplify]: Simplify (- 0) into 0
0.588 * [backup-simplify]: Simplify (+ 0 0) into 0
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.591 * [taylor]: Taking taylor expansion of 0 in th
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [taylor]: Taking taylor expansion of 0 in th
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ 0) into 0
0.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.592 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.594 * [backup-simplify]: Simplify (- 0) into 0
0.594 * [backup-simplify]: Simplify (+ 0 0) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.595 * [taylor]: Taking taylor expansion of 0 in th
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.597 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.602 * [backup-simplify]: Simplify (+ 0 0) into 0
0.604 * [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
0.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.605 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.607 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.608 * [backup-simplify]: Simplify (- 0) into 0
0.608 * [backup-simplify]: Simplify (+ 0 0) into 0
0.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.614 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.614 * [taylor]: Taking taylor expansion of 0 in a2
0.614 * [backup-simplify]: Simplify 0 into 0
0.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.616 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.617 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.618 * [backup-simplify]: Simplify (- 0) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.621 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.623 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.623 * [taylor]: Taking taylor expansion of 0 in th
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.625 * [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)))
0.625 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.625 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
0.625 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
0.625 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.625 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.625 * [taylor]: Taking taylor expansion of 2.0 in th
0.625 * [backup-simplify]: Simplify 2.0 into 2.0
0.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.626 * [taylor]: Taking taylor expansion of (cos th) in th
0.626 * [taylor]: Taking taylor expansion of th in th
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify 1 into 1
0.627 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.627 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.627 * [taylor]: Taking taylor expansion of 2.0 in th
0.627 * [backup-simplify]: Simplify 2.0 into 2.0
0.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.628 * [taylor]: Taking taylor expansion of (cos th) in th
0.628 * [taylor]: Taking taylor expansion of th in th
0.628 * [backup-simplify]: Simplify 0 into 0
0.628 * [backup-simplify]: Simplify 1 into 1
0.629 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.630 * [backup-simplify]: Simplify (+ 0) into 0
0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify 0 into 0
0.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
0.639 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
0.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.641 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.646 * [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
0.655 * [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))
0.656 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
0.658 * [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)))))
0.659 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.659 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
0.659 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.659 * [taylor]: Taking taylor expansion of 2.0 in th
0.659 * [backup-simplify]: Simplify 2.0 into 2.0
0.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.660 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.660 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.660 * [taylor]: Taking taylor expansion of th in th
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify 1 into 1
0.660 * [backup-simplify]: Simplify (/ 1 1) into 1
0.661 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.661 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.661 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.661 * [taylor]: Taking taylor expansion of 2.0 in th
0.661 * [backup-simplify]: Simplify 2.0 into 2.0
0.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.663 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.663 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.663 * [taylor]: Taking taylor expansion of th in th
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify 1 into 1
0.663 * [backup-simplify]: Simplify (/ 1 1) into 1
0.663 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.663 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.664 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.665 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
0.665 * [backup-simplify]: Simplify 0 into 0
0.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.667 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.669 * [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
0.669 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.671 * [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
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 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)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.673 * [backup-simplify]: Simplify 0 into 0
0.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.676 * [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
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
0.677 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.677 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
0.677 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.677 * [taylor]: Taking taylor expansion of 2.0 in th
0.677 * [backup-simplify]: Simplify 2.0 into 2.0
0.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.678 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.678 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.678 * [taylor]: Taking taylor expansion of -1 in th
0.678 * [backup-simplify]: Simplify -1 into -1
0.678 * [taylor]: Taking taylor expansion of th in th
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [backup-simplify]: Simplify (/ -1 1) into -1
0.678 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.679 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.679 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.679 * [taylor]: Taking taylor expansion of 2.0 in th
0.679 * [backup-simplify]: Simplify 2.0 into 2.0
0.679 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.680 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.680 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.680 * [taylor]: Taking taylor expansion of -1 in th
0.680 * [backup-simplify]: Simplify -1 into -1
0.680 * [taylor]: Taking taylor expansion of th in th
0.680 * [backup-simplify]: Simplify 0 into 0
0.680 * [backup-simplify]: Simplify 1 into 1
0.681 * [backup-simplify]: Simplify (/ -1 1) into -1
0.681 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.681 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.682 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.682 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.684 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.686 * [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
0.686 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.688 * [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
0.688 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.691 * [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
0.691 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.693 * [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
0.693 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
0.694 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.694 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
0.694 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
0.694 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.694 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.694 * [taylor]: Taking taylor expansion of a2 in a2
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 1 into 1
0.694 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.694 * [taylor]: Taking taylor expansion of a1 in a2
0.694 * [backup-simplify]: Simplify a1 into a1
0.694 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 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 * [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 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 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 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.695 * [taylor]: Taking taylor expansion of a1 in a1
0.695 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify 1 into 1
0.695 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.695 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.695 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.695 * [taylor]: Taking taylor expansion of a2 in a2
0.695 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify 1 into 1
0.695 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.695 * [backup-simplify]: Simplify (+ 0 0) into 0
0.695 * [taylor]: Taking taylor expansion of 0 in a2
0.695 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify 0 into 0
0.696 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.696 * [backup-simplify]: Simplify (* 1 1) into 1
0.697 * [backup-simplify]: Simplify (+ 0 1) into 1
0.697 * [taylor]: Taking taylor expansion of 1 in a2
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify 1 into 1
0.697 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify (* 1 1) into 1
0.697 * [backup-simplify]: Simplify 1 into 1
0.698 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.699 * [backup-simplify]: Simplify (+ 0 0) into 0
0.699 * [taylor]: Taking taylor expansion of 0 in a2
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.700 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.702 * [backup-simplify]: Simplify (+ 0 0) into 0
0.702 * [taylor]: Taking taylor expansion of 0 in a2
0.702 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
0.703 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.703 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.703 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.703 * [taylor]: Taking taylor expansion of a2 in a2
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify 1 into 1
0.704 * [backup-simplify]: Simplify (* 1 1) into 1
0.704 * [backup-simplify]: Simplify (/ 1 1) into 1
0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.704 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.704 * [taylor]: Taking taylor expansion of a1 in a2
0.704 * [backup-simplify]: Simplify a1 into a1
0.704 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.704 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.705 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.705 * [taylor]: Taking taylor expansion of a2 in a1
0.705 * [backup-simplify]: Simplify a2 into a2
0.705 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.705 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.705 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.705 * [taylor]: Taking taylor expansion of a1 in a1
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify (* 1 1) into 1
0.706 * [backup-simplify]: Simplify (/ 1 1) into 1
0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.706 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.706 * [taylor]: Taking taylor expansion of a2 in a1
0.706 * [backup-simplify]: Simplify a2 into a2
0.706 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.706 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.706 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.706 * [taylor]: Taking taylor expansion of a1 in a1
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [backup-simplify]: Simplify 1 into 1
0.706 * [backup-simplify]: Simplify (* 1 1) into 1
0.707 * [backup-simplify]: Simplify (/ 1 1) into 1
0.707 * [backup-simplify]: Simplify (+ 0 1) into 1
0.707 * [taylor]: Taking taylor expansion of 1 in a2
0.707 * [backup-simplify]: Simplify 1 into 1
0.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.709 * [backup-simplify]: Simplify (+ 0 0) into 0
0.709 * [taylor]: Taking taylor expansion of 0 in a2
0.709 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.711 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
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
0.711 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (/ 1 1) into 1
0.712 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify 1 into 1
0.712 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.720 * [backup-simplify]: Simplify (+ 0 0) into 0
0.720 * [taylor]: Taking taylor expansion of 0 in a2
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.724 * [taylor]: Taking taylor expansion of 0 in a2
0.724 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.727 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.727 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.727 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.727 * [taylor]: Taking taylor expansion of a2 in a2
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.728 * [backup-simplify]: Simplify (* 1 1) into 1
0.728 * [backup-simplify]: Simplify (/ 1 1) into 1
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.728 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.728 * [taylor]: Taking taylor expansion of a1 in a2
0.728 * [backup-simplify]: Simplify a1 into a1
0.728 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.728 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.728 * [taylor]: Taking taylor expansion of a2 in a1
0.728 * [backup-simplify]: Simplify a2 into a2
0.729 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.729 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.729 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.729 * [taylor]: Taking taylor expansion of a1 in a1
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (* 1 1) into 1
0.730 * [backup-simplify]: Simplify (/ 1 1) into 1
0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.730 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.730 * [taylor]: Taking taylor expansion of a2 in a1
0.730 * [backup-simplify]: Simplify a2 into a2
0.730 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.730 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.730 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.730 * [taylor]: Taking taylor expansion of a1 in a1
0.730 * [backup-simplify]: Simplify 0 into 0
0.730 * [backup-simplify]: Simplify 1 into 1
0.730 * [backup-simplify]: Simplify (* 1 1) into 1
0.731 * [backup-simplify]: Simplify (/ 1 1) into 1
0.731 * [backup-simplify]: Simplify (+ 0 1) into 1
0.731 * [taylor]: Taking taylor expansion of 1 in a2
0.731 * [backup-simplify]: Simplify 1 into 1
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.733 * [backup-simplify]: Simplify (+ 0 0) into 0
0.733 * [taylor]: Taking taylor expansion of 0 in a2
0.733 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.735 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.735 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.735 * [taylor]: Taking taylor expansion of a2 in a2
0.735 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify 1 into 1
0.735 * [backup-simplify]: Simplify (* 1 1) into 1
0.736 * [backup-simplify]: Simplify (/ 1 1) into 1
0.736 * [backup-simplify]: Simplify 1 into 1
0.736 * [backup-simplify]: Simplify 1 into 1
0.736 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.738 * [backup-simplify]: Simplify (+ 0 0) into 0
0.738 * [taylor]: Taking taylor expansion of 0 in a2
0.738 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.743 * [backup-simplify]: Simplify (+ 0 0) into 0
0.743 * [taylor]: Taking taylor expansion of 0 in a2
0.743 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.745 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify 0 into 0
0.745 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.746 * * * [progress]: simplifying candidates
0.750 * [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))
0.756 * * [simplify]: iteration 0: 250 enodes
0.851 * * [simplify]: iteration 1: 680 enodes
1.309 * * [simplify]: iteration 2: 4529 enodes
2.294 * * [simplify]: iteration complete: 5000 enodes
2.294 * * [simplify]: Extracting #0: cost 163 inf + 0
2.297 * * [simplify]: Extracting #1: cost 1177 inf + 1
2.302 * * [simplify]: Extracting #2: cost 1792 inf + 23
2.309 * * [simplify]: Extracting #3: cost 1681 inf + 1193
2.316 * * [simplify]: Extracting #4: cost 1211 inf + 4025
2.322 * * [simplify]: Extracting #5: cost 484 inf + 13393
2.337 * * [simplify]: Extracting #6: cost 54 inf + 20355
2.343 * * [simplify]: Extracting #7: cost 0 inf + 21494
2.349 * * [simplify]: Extracting #8: cost 0 inf + 21488
2.356 * [simplify]: Simplified to:
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (exp (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (* (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))) (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (sqrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (- (- (* a1 a1)) (pow a2 2))
  (/ (- (sqrt 2.0)) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (cbrt (cos th)) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (fabs (cbrt 2.0)))
  (* (cos th) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (/ (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (fabs (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (* (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ 1 (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (* (+ (* a1 a1) (pow a2 2)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th)))) (cbrt (cos th)))
  (* (sqrt (cos th)) (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (pow a2 2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (pow a2 2)) (sqrt (cos th)))
  (+ (* a1 a1) (pow a2 2))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (pow a2 2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (pow a2 2)) (sqrt (cos th)))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (* (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (pow a1 4)) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (cos th)) (* (+ a1 a2) (- a1 a2)))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (exp (+ (* a1 a1) (pow a2 2)))
  (log (+ (* a1 a1) (pow a2 2)))
  (exp (+ (* a1 a1) (pow a2 2)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (cbrt (+ (* a1 a1) (pow a2 2)))
  (pow (+ (* a1 a1) (pow a2 2)) 3)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (+ (pow a1 6) (pow a2 6))
  (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (pow a1 4))
  (- (pow a1 4) (pow a2 4))
  (* (+ a1 a2) (- a1 a2))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (sqrt 2.0) (+ (* (* 5/24 (sqrt 2.0)) (pow th 4)) (* (* 1/2 (* th th)) (sqrt 2.0))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
2.358 * * * [progress]: adding candidates to table
3.625 * * [progress]: iteration 2 / 4
3.625 * * * [progress]: picking best candidate
3.678 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))))>
3.678 * * * [progress]: localizing error
3.717 * * * [progress]: generating rewritten candidates
3.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
3.724 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
3.742 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
3.793 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.812 * * * [progress]: generating series expansions
3.812 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
3.812 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
3.812 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
3.812 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
3.812 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
3.812 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.812 * [taylor]: Taking taylor expansion of a2 in a2
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 1 into 1
3.812 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.812 * [taylor]: Taking taylor expansion of a1 in a2
3.812 * [backup-simplify]: Simplify a1 into a1
3.812 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.812 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
3.812 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
3.812 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
3.813 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.813 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.813 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.813 * [taylor]: Taking taylor expansion of a2 in a1
3.813 * [backup-simplify]: Simplify a2 into a2
3.813 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.813 * [taylor]: Taking taylor expansion of a1 in a1
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 1 into 1
3.813 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.813 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.813 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.813 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.814 * [backup-simplify]: Simplify (+ 0 0) into 0
3.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.814 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.814 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.814 * [taylor]: Taking taylor expansion of a2 in a1
3.814 * [backup-simplify]: Simplify a2 into a2
3.814 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.814 * [taylor]: Taking taylor expansion of a1 in a1
3.814 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify 1 into 1
3.814 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.814 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.814 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.814 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.814 * [backup-simplify]: Simplify (+ 0 0) into 0
3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.815 * [taylor]: Taking taylor expansion of a2 in a2
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [taylor]: Taking taylor expansion of 0 in a2
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.815 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
3.815 * [backup-simplify]: Simplify (* 1 1) into 1
3.816 * [backup-simplify]: Simplify (+ 0 1) into 1
3.816 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
3.816 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
3.816 * [taylor]: Taking taylor expansion of 1/2 in a2
3.816 * [backup-simplify]: Simplify 1/2 into 1/2
3.816 * [taylor]: Taking taylor expansion of a2 in a2
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
3.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.818 * [backup-simplify]: Simplify (+ 0 0) into 0
3.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
3.818 * [taylor]: Taking taylor expansion of 0 in a2
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
3.819 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.819 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.819 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.819 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.819 * [taylor]: Taking taylor expansion of a2 in a2
3.819 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify 1 into 1
3.820 * [backup-simplify]: Simplify (* 1 1) into 1
3.820 * [backup-simplify]: Simplify (/ 1 1) into 1
3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.820 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.820 * [taylor]: Taking taylor expansion of a1 in a2
3.820 * [backup-simplify]: Simplify a1 into a1
3.820 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.820 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.821 * [backup-simplify]: Simplify (+ 1 0) into 1
3.821 * [backup-simplify]: Simplify (sqrt 1) into 1
3.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.822 * [backup-simplify]: Simplify (+ 0 0) into 0
3.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.822 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.822 * [taylor]: Taking taylor expansion of a2 in a1
3.822 * [backup-simplify]: Simplify a2 into a2
3.822 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.822 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.823 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.823 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.823 * [taylor]: Taking taylor expansion of a1 in a1
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (* 1 1) into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.823 * [backup-simplify]: Simplify (+ 0 1) into 1
3.824 * [backup-simplify]: Simplify (sqrt 1) into 1
3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ 0 0) into 0
3.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.825 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.825 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.825 * [taylor]: Taking taylor expansion of a2 in a1
3.825 * [backup-simplify]: Simplify a2 into a2
3.825 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.825 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.825 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.825 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.825 * [taylor]: Taking taylor expansion of a1 in a1
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (* 1 1) into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.826 * [backup-simplify]: Simplify (+ 0 1) into 1
3.826 * [backup-simplify]: Simplify (sqrt 1) into 1
3.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (+ 0 0) into 0
3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.828 * [taylor]: Taking taylor expansion of 1 in a2
3.828 * [backup-simplify]: Simplify 1 into 1
3.828 * [taylor]: Taking taylor expansion of 0 in a2
3.828 * [backup-simplify]: Simplify 0 into 0
3.828 * [backup-simplify]: Simplify 1 into 1
3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.829 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.830 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.830 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.830 * [taylor]: Taking taylor expansion of 1/2 in a2
3.830 * [backup-simplify]: Simplify 1/2 into 1/2
3.830 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.830 * [taylor]: Taking taylor expansion of a2 in a2
3.830 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify 1 into 1
3.831 * [backup-simplify]: Simplify (* 1 1) into 1
3.831 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (+ 0 0) into 0
3.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.836 * [taylor]: Taking taylor expansion of 0 in a2
3.836 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
3.838 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.838 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.838 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.839 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.839 * [taylor]: Taking taylor expansion of a2 in a2
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 1 into 1
3.839 * [backup-simplify]: Simplify (* 1 1) into 1
3.839 * [backup-simplify]: Simplify (/ 1 1) into 1
3.839 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.839 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.839 * [taylor]: Taking taylor expansion of a1 in a2
3.839 * [backup-simplify]: Simplify a1 into a1
3.840 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.840 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.840 * [backup-simplify]: Simplify (+ 1 0) into 1
3.841 * [backup-simplify]: Simplify (sqrt 1) into 1
3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ 0 0) into 0
3.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.843 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.843 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.843 * [taylor]: Taking taylor expansion of a2 in a1
3.843 * [backup-simplify]: Simplify a2 into a2
3.843 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.844 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.844 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.844 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.844 * [taylor]: Taking taylor expansion of a1 in a1
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 1 into 1
3.844 * [backup-simplify]: Simplify (* 1 1) into 1
3.845 * [backup-simplify]: Simplify (/ 1 1) into 1
3.845 * [backup-simplify]: Simplify (+ 0 1) into 1
3.846 * [backup-simplify]: Simplify (sqrt 1) into 1
3.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.847 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.853 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.853 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.853 * [taylor]: Taking taylor expansion of a2 in a1
3.853 * [backup-simplify]: Simplify a2 into a2
3.853 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.853 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.853 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.853 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.853 * [taylor]: Taking taylor expansion of a1 in a1
3.853 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 1 into 1
3.854 * [backup-simplify]: Simplify (* 1 1) into 1
3.855 * [backup-simplify]: Simplify (/ 1 1) into 1
3.855 * [backup-simplify]: Simplify (+ 0 1) into 1
3.855 * [backup-simplify]: Simplify (sqrt 1) into 1
3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.857 * [backup-simplify]: Simplify (+ 0 0) into 0
3.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.858 * [taylor]: Taking taylor expansion of 1 in a2
3.858 * [backup-simplify]: Simplify 1 into 1
3.858 * [taylor]: Taking taylor expansion of 0 in a2
3.858 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify 1 into 1
3.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.861 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.862 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.862 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.862 * [taylor]: Taking taylor expansion of 1/2 in a2
3.862 * [backup-simplify]: Simplify 1/2 into 1/2
3.862 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.862 * [taylor]: Taking taylor expansion of a2 in a2
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 1 into 1
3.862 * [backup-simplify]: Simplify (* 1 1) into 1
3.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.868 * [taylor]: Taking taylor expansion of 0 in a2
3.868 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.870 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
3.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
3.871 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
3.871 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
3.871 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
3.871 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
3.871 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.871 * [taylor]: Taking taylor expansion of a2 in a2
3.871 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify 1 into 1
3.871 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.871 * [taylor]: Taking taylor expansion of a1 in a2
3.871 * [backup-simplify]: Simplify a1 into a1
3.871 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.871 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
3.871 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
3.872 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.872 * [backup-simplify]: Simplify (+ 0 0) into 0
3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
3.872 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.872 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.872 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.872 * [taylor]: Taking taylor expansion of a2 in a1
3.872 * [backup-simplify]: Simplify a2 into a2
3.872 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.872 * [taylor]: Taking taylor expansion of a1 in a1
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify 1 into 1
3.872 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.873 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.873 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.873 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.874 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.874 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.874 * [taylor]: Taking taylor expansion of a2 in a1
3.874 * [backup-simplify]: Simplify a2 into a2
3.874 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.874 * [taylor]: Taking taylor expansion of a1 in a1
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 1 into 1
3.874 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.874 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.874 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.874 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.875 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.875 * [taylor]: Taking taylor expansion of a2 in a2
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [taylor]: Taking taylor expansion of 0 in a2
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.876 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
3.876 * [backup-simplify]: Simplify (* 1 1) into 1
3.876 * [backup-simplify]: Simplify (+ 0 1) into 1
3.877 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
3.877 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
3.877 * [taylor]: Taking taylor expansion of 1/2 in a2
3.877 * [backup-simplify]: Simplify 1/2 into 1/2
3.877 * [taylor]: Taking taylor expansion of a2 in a2
3.877 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.881 * [backup-simplify]: Simplify (+ 0 0) into 0
3.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
3.881 * [taylor]: Taking taylor expansion of 0 in a2
3.881 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
3.883 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.883 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.883 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.883 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.883 * [taylor]: Taking taylor expansion of a2 in a2
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 1 into 1
3.884 * [backup-simplify]: Simplify (* 1 1) into 1
3.884 * [backup-simplify]: Simplify (/ 1 1) into 1
3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.884 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.884 * [taylor]: Taking taylor expansion of a1 in a2
3.884 * [backup-simplify]: Simplify a1 into a1
3.884 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.885 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.885 * [backup-simplify]: Simplify (+ 1 0) into 1
3.885 * [backup-simplify]: Simplify (sqrt 1) into 1
3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.888 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.888 * [taylor]: Taking taylor expansion of a2 in a1
3.888 * [backup-simplify]: Simplify a2 into a2
3.888 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.888 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.889 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.889 * [taylor]: Taking taylor expansion of a1 in a1
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 1 into 1
3.889 * [backup-simplify]: Simplify (* 1 1) into 1
3.889 * [backup-simplify]: Simplify (/ 1 1) into 1
3.890 * [backup-simplify]: Simplify (+ 0 1) into 1
3.890 * [backup-simplify]: Simplify (sqrt 1) into 1
3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.892 * [backup-simplify]: Simplify (+ 0 0) into 0
3.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.893 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.893 * [taylor]: Taking taylor expansion of a2 in a1
3.893 * [backup-simplify]: Simplify a2 into a2
3.893 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.893 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.893 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.893 * [taylor]: Taking taylor expansion of a1 in a1
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.895 * [backup-simplify]: Simplify (+ 0 1) into 1
3.895 * [backup-simplify]: Simplify (sqrt 1) into 1
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.897 * [backup-simplify]: Simplify (+ 0 0) into 0
3.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.897 * [taylor]: Taking taylor expansion of 1 in a2
3.897 * [backup-simplify]: Simplify 1 into 1
3.898 * [taylor]: Taking taylor expansion of 0 in a2
3.898 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify 1 into 1
3.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.900 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.901 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.901 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.901 * [taylor]: Taking taylor expansion of 1/2 in a2
3.901 * [backup-simplify]: Simplify 1/2 into 1/2
3.901 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.901 * [taylor]: Taking taylor expansion of a2 in a2
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.902 * [backup-simplify]: Simplify (* 1 1) into 1
3.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.908 * [taylor]: Taking taylor expansion of 0 in a2
3.908 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
3.910 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.910 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.911 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.911 * [taylor]: Taking taylor expansion of a2 in a2
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (/ 1 1) into 1
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.911 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.912 * [taylor]: Taking taylor expansion of a1 in a2
3.912 * [backup-simplify]: Simplify a1 into a1
3.912 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.912 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.912 * [backup-simplify]: Simplify (+ 1 0) into 1
3.913 * [backup-simplify]: Simplify (sqrt 1) into 1
3.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.915 * [backup-simplify]: Simplify (+ 0 0) into 0
3.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.916 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.916 * [taylor]: Taking taylor expansion of a2 in a1
3.916 * [backup-simplify]: Simplify a2 into a2
3.916 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.916 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.916 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.916 * [taylor]: Taking taylor expansion of a1 in a1
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (* 1 1) into 1
3.917 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (+ 0 1) into 1
3.918 * [backup-simplify]: Simplify (sqrt 1) into 1
3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.920 * [backup-simplify]: Simplify (+ 0 0) into 0
3.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.921 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.921 * [taylor]: Taking taylor expansion of a2 in a1
3.921 * [backup-simplify]: Simplify a2 into a2
3.921 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.921 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.921 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.921 * [taylor]: Taking taylor expansion of a1 in a1
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (* 1 1) into 1
3.922 * [backup-simplify]: Simplify (/ 1 1) into 1
3.922 * [backup-simplify]: Simplify (+ 0 1) into 1
3.923 * [backup-simplify]: Simplify (sqrt 1) into 1
3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.925 * [backup-simplify]: Simplify (+ 0 0) into 0
3.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.925 * [taylor]: Taking taylor expansion of 1 in a2
3.925 * [backup-simplify]: Simplify 1 into 1
3.926 * [taylor]: Taking taylor expansion of 0 in a2
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.928 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.929 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.929 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.929 * [taylor]: Taking taylor expansion of 1/2 in a2
3.929 * [backup-simplify]: Simplify 1/2 into 1/2
3.929 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.929 * [taylor]: Taking taylor expansion of a2 in a2
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.930 * [backup-simplify]: Simplify (* 1 1) into 1
3.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ 0 0) into 0
3.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.935 * [taylor]: Taking taylor expansion of 0 in a2
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
3.938 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
3.939 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))) into (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))
3.939 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in (th a1 a2) around 0
3.939 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a2
3.939 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a2
3.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.939 * [taylor]: Taking taylor expansion of 2.0 in a2
3.939 * [backup-simplify]: Simplify 2.0 into 2.0
3.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.940 * [taylor]: Taking taylor expansion of (cos th) in a2
3.940 * [taylor]: Taking taylor expansion of th in a2
3.940 * [backup-simplify]: Simplify th into th
3.940 * [backup-simplify]: Simplify (cos th) into (cos th)
3.941 * [backup-simplify]: Simplify (sin th) into (sin th)
3.941 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
3.941 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.941 * [backup-simplify]: Simplify (- 0) into 0
3.941 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
3.942 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
3.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a2
3.942 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a2
3.942 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
3.942 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.942 * [taylor]: Taking taylor expansion of a2 in a2
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.942 * [taylor]: Taking taylor expansion of a1 in a2
3.942 * [backup-simplify]: Simplify a1 into a1
3.942 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.942 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
3.942 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.943 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a1 2))) into (/ 1 a1)
3.943 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.943 * [backup-simplify]: Simplify (+ 0 0) into 0
3.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
3.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a1 2))))) into 0
3.944 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
3.944 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a1
3.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.944 * [taylor]: Taking taylor expansion of 2.0 in a1
3.944 * [backup-simplify]: Simplify 2.0 into 2.0
3.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.945 * [taylor]: Taking taylor expansion of (cos th) in a1
3.945 * [taylor]: Taking taylor expansion of th in a1
3.945 * [backup-simplify]: Simplify th into th
3.945 * [backup-simplify]: Simplify (cos th) into (cos th)
3.945 * [backup-simplify]: Simplify (sin th) into (sin th)
3.945 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
3.945 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.946 * [backup-simplify]: Simplify (- 0) into 0
3.946 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
3.946 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
3.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
3.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
3.946 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.946 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.946 * [taylor]: Taking taylor expansion of a2 in a1
3.946 * [backup-simplify]: Simplify a2 into a2
3.946 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.946 * [taylor]: Taking taylor expansion of a1 in a1
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 1 into 1
3.947 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.947 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.947 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.947 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
3.947 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
3.948 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
3.948 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
3.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.948 * [taylor]: Taking taylor expansion of 2.0 in th
3.948 * [backup-simplify]: Simplify 2.0 into 2.0
3.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.949 * [taylor]: Taking taylor expansion of (cos th) in th
3.949 * [taylor]: Taking taylor expansion of th in th
3.949 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
3.951 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
3.951 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
3.951 * [taylor]: Taking taylor expansion of (pow a2 2) in th
3.951 * [taylor]: Taking taylor expansion of a2 in th
3.951 * [backup-simplify]: Simplify a2 into a2
3.951 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.951 * [taylor]: Taking taylor expansion of a1 in th
3.951 * [backup-simplify]: Simplify a1 into a1
3.951 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.951 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.951 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
3.951 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
3.952 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
3.952 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.952 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.952 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
3.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
3.953 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
3.953 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
3.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.953 * [taylor]: Taking taylor expansion of 2.0 in th
3.953 * [backup-simplify]: Simplify 2.0 into 2.0
3.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.955 * [taylor]: Taking taylor expansion of (cos th) in th
3.955 * [taylor]: Taking taylor expansion of th in th
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
3.956 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
3.956 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
3.956 * [taylor]: Taking taylor expansion of (pow a2 2) in th
3.956 * [taylor]: Taking taylor expansion of a2 in th
3.956 * [backup-simplify]: Simplify a2 into a2
3.956 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.956 * [taylor]: Taking taylor expansion of a1 in th
3.956 * [backup-simplify]: Simplify a1 into a1
3.956 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.956 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.956 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
3.957 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
3.957 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
3.957 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.957 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.957 * [backup-simplify]: Simplify (+ 0 0) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
3.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
3.959 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))
3.959 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
3.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.959 * [taylor]: Taking taylor expansion of 2.0 in a1
3.959 * [backup-simplify]: Simplify 2.0 into 2.0
3.960 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
3.961 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
3.961 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.961 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.961 * [taylor]: Taking taylor expansion of a2 in a1
3.961 * [backup-simplify]: Simplify a2 into a2
3.961 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.961 * [taylor]: Taking taylor expansion of a1 in a1
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.961 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.961 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.961 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
3.961 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.962 * [backup-simplify]: Simplify (+ 0 0) into 0
3.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
3.963 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
3.963 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
3.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.963 * [taylor]: Taking taylor expansion of 2.0 in a2
3.963 * [backup-simplify]: Simplify 2.0 into 2.0
3.964 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.964 * [taylor]: Taking taylor expansion of a2 in a2
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 1 into 1
3.965 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify (+ 0) into 0
3.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
3.968 * [taylor]: Taking taylor expansion of 0 in a1
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [taylor]: Taking taylor expansion of 0 in a2
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (/ 1 a2))) into 0
3.969 * [taylor]: Taking taylor expansion of 0 in a2
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
3.971 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
3.971 * [backup-simplify]: Simplify (+ 0 0) into 0
3.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))) (* 0 (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
3.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
3.973 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
3.977 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* (* 1/2 (sqrt 2.0)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))))
3.977 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) in a1
3.977 * [taylor]: Taking taylor expansion of 1/2 in a1
3.978 * [backup-simplify]: Simplify 1/2 into 1/2
3.978 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
3.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.978 * [taylor]: Taking taylor expansion of 2.0 in a1
3.978 * [backup-simplify]: Simplify 2.0 into 2.0
3.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.978 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
3.978 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
3.978 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.978 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.978 * [taylor]: Taking taylor expansion of a2 in a1
3.978 * [backup-simplify]: Simplify a2 into a2
3.978 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.978 * [taylor]: Taking taylor expansion of a1 in a1
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.979 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.979 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.979 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
3.979 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.979 * [backup-simplify]: Simplify (+ 0 0) into 0
3.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
3.980 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
3.980 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 2.0) a2)) into (* 1/2 (/ (sqrt 2.0) a2))
3.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) a2)) in a2
3.980 * [taylor]: Taking taylor expansion of 1/2 in a2
3.980 * [backup-simplify]: Simplify 1/2 into 1/2
3.980 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
3.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.980 * [taylor]: Taking taylor expansion of 2.0 in a2
3.980 * [backup-simplify]: Simplify 2.0 into 2.0
3.980 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.981 * [taylor]: Taking taylor expansion of a2 in a2
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0
3.982 * [backup-simplify]: Simplify 0 into 0
3.983 * [taylor]: Taking taylor expansion of 0 in a2
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2)))) into (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
3.983 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (th a1 a2) around 0
3.983 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
3.983 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
3.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.983 * [taylor]: Taking taylor expansion of 2.0 in a2
3.983 * [backup-simplify]: Simplify 2.0 into 2.0
3.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.984 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
3.984 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
3.984 * [taylor]: Taking taylor expansion of th in a2
3.984 * [backup-simplify]: Simplify th into th
3.984 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.984 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.984 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.984 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
3.984 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
3.985 * [backup-simplify]: Simplify (- 0) into 0
3.985 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
3.985 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
3.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
3.985 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.985 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.985 * [taylor]: Taking taylor expansion of a2 in a2
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (* 1 1) into 1
3.986 * [backup-simplify]: Simplify (/ 1 1) into 1
3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.986 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.986 * [taylor]: Taking taylor expansion of a1 in a2
3.986 * [backup-simplify]: Simplify a1 into a1
3.986 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.986 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.986 * [backup-simplify]: Simplify (+ 1 0) into 1
3.986 * [backup-simplify]: Simplify (/ 1 1) into 1
3.987 * [backup-simplify]: Simplify (sqrt 1) into 1
3.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.988 * [backup-simplify]: Simplify (+ 0 0) into 0
3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.989 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
3.989 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
3.989 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.989 * [taylor]: Taking taylor expansion of 2.0 in a1
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.990 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
3.990 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
3.990 * [taylor]: Taking taylor expansion of th in a1
3.990 * [backup-simplify]: Simplify th into th
3.990 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.990 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.990 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.990 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
3.990 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
3.990 * [backup-simplify]: Simplify (- 0) into 0
3.990 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
3.990 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
3.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
3.990 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.991 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.991 * [taylor]: Taking taylor expansion of a2 in a1
3.991 * [backup-simplify]: Simplify a2 into a2
3.991 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.991 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.991 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.991 * [taylor]: Taking taylor expansion of a1 in a1
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.991 * [backup-simplify]: Simplify (* 1 1) into 1
3.991 * [backup-simplify]: Simplify (/ 1 1) into 1
3.992 * [backup-simplify]: Simplify (+ 0 1) into 1
3.992 * [backup-simplify]: Simplify (/ 1 1) into 1
3.992 * [backup-simplify]: Simplify (sqrt 1) into 1
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.994 * [backup-simplify]: Simplify (+ 0 0) into 0
3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.996 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
3.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
3.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.996 * [taylor]: Taking taylor expansion of 2.0 in th
3.996 * [backup-simplify]: Simplify 2.0 into 2.0
3.996 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.997 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
3.997 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.997 * [taylor]: Taking taylor expansion of th in th
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [backup-simplify]: Simplify (/ 1 1) into 1
3.997 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.998 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
3.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
3.998 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
3.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
3.998 * [taylor]: Taking taylor expansion of (pow a2 2) in th
3.998 * [taylor]: Taking taylor expansion of a2 in th
3.998 * [backup-simplify]: Simplify a2 into a2
3.998 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.998 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
3.998 * [taylor]: Taking taylor expansion of (pow a1 2) in th
3.998 * [taylor]: Taking taylor expansion of a1 in th
3.998 * [backup-simplify]: Simplify a1 into a1
3.999 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.999 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.999 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
3.999 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.000 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.000 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.000 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.001 * [backup-simplify]: Simplify (+ 0 0) into 0
4.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.002 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.002 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.002 * [taylor]: Taking taylor expansion of 2.0 in th
4.002 * [backup-simplify]: Simplify 2.0 into 2.0
4.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.003 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.003 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.003 * [taylor]: Taking taylor expansion of th in th
4.003 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 1 into 1
4.004 * [backup-simplify]: Simplify (/ 1 1) into 1
4.004 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.004 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.005 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.005 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.005 * [taylor]: Taking taylor expansion of a2 in th
4.005 * [backup-simplify]: Simplify a2 into a2
4.005 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.005 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.005 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.005 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.005 * [taylor]: Taking taylor expansion of a1 in th
4.005 * [backup-simplify]: Simplify a1 into a1
4.005 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.005 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.006 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.006 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.006 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.006 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.007 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.007 * [backup-simplify]: Simplify (+ 0 0) into 0
4.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.009 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.009 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.009 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
4.009 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.009 * [taylor]: Taking taylor expansion of 2.0 in a1
4.009 * [backup-simplify]: Simplify 2.0 into 2.0
4.010 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.010 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.011 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.011 * [taylor]: Taking taylor expansion of th in a1
4.011 * [backup-simplify]: Simplify th into th
4.011 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.011 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.011 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.011 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.011 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.011 * [backup-simplify]: Simplify (- 0) into 0
4.011 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.012 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.012 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.012 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.012 * [taylor]: Taking taylor expansion of a2 in a1
4.012 * [backup-simplify]: Simplify a2 into a2
4.012 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.012 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.012 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.012 * [taylor]: Taking taylor expansion of a1 in a1
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 1 into 1
4.013 * [backup-simplify]: Simplify (* 1 1) into 1
4.013 * [backup-simplify]: Simplify (/ 1 1) into 1
4.014 * [backup-simplify]: Simplify (+ 0 1) into 1
4.014 * [backup-simplify]: Simplify (/ 1 1) into 1
4.015 * [backup-simplify]: Simplify (sqrt 1) into 1
4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (+ 0 0) into 0
4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.018 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ 1 th))) 1) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.018 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
4.018 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.019 * [taylor]: Taking taylor expansion of 2.0 in a2
4.019 * [backup-simplify]: Simplify 2.0 into 2.0
4.019 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.020 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.020 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.020 * [taylor]: Taking taylor expansion of th in a2
4.020 * [backup-simplify]: Simplify th into th
4.020 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.020 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.020 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.020 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.020 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.021 * [backup-simplify]: Simplify (- 0) into 0
4.021 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.021 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.022 * [backup-simplify]: Simplify (+ 0) into 0
4.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.024 * [backup-simplify]: Simplify (- 0) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.025 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.027 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.027 * [taylor]: Taking taylor expansion of 0 in a1
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [taylor]: Taking taylor expansion of 0 in a2
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify (+ 0) into 0
4.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.030 * [backup-simplify]: Simplify (- 0) into 0
4.030 * [backup-simplify]: Simplify (+ 0 0) into 0
4.031 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.032 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 1)) into 0
4.032 * [taylor]: Taking taylor expansion of 0 in a2
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.036 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.037 * [backup-simplify]: Simplify (- 0) into 0
4.037 * [backup-simplify]: Simplify (+ 0 0) into 0
4.038 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.038 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.040 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (* 0 (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.045 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.046 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.046 * [taylor]: Taking taylor expansion of 0 in a1
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [taylor]: Taking taylor expansion of 0 in a2
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 0 into 0
4.047 * [taylor]: Taking taylor expansion of 0 in a2
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2)))) into (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.048 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (th a1 a2) around 0
4.048 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
4.048 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
4.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.048 * [taylor]: Taking taylor expansion of 2.0 in a2
4.048 * [backup-simplify]: Simplify 2.0 into 2.0
4.048 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.049 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.049 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.049 * [taylor]: Taking taylor expansion of -1 in a2
4.049 * [backup-simplify]: Simplify -1 into -1
4.049 * [taylor]: Taking taylor expansion of th in a2
4.049 * [backup-simplify]: Simplify th into th
4.049 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.049 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.049 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.049 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.050 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.050 * [backup-simplify]: Simplify (- 0) into 0
4.050 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.051 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
4.051 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.051 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.051 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.051 * [taylor]: Taking taylor expansion of a2 in a2
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (* 1 1) into 1
4.052 * [backup-simplify]: Simplify (/ 1 1) into 1
4.052 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.052 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.052 * [taylor]: Taking taylor expansion of a1 in a2
4.052 * [backup-simplify]: Simplify a1 into a1
4.052 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.052 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.053 * [backup-simplify]: Simplify (+ 1 0) into 1
4.053 * [backup-simplify]: Simplify (/ 1 1) into 1
4.053 * [backup-simplify]: Simplify (sqrt 1) into 1
4.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.055 * [backup-simplify]: Simplify (+ 0 0) into 0
4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.057 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.057 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
4.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.057 * [taylor]: Taking taylor expansion of 2.0 in a1
4.057 * [backup-simplify]: Simplify 2.0 into 2.0
4.057 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.058 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.058 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.058 * [taylor]: Taking taylor expansion of -1 in a1
4.058 * [backup-simplify]: Simplify -1 into -1
4.058 * [taylor]: Taking taylor expansion of th in a1
4.058 * [backup-simplify]: Simplify th into th
4.058 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.058 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.058 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.058 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.059 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.059 * [backup-simplify]: Simplify (- 0) into 0
4.059 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.059 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.060 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.060 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.060 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.060 * [taylor]: Taking taylor expansion of a2 in a1
4.060 * [backup-simplify]: Simplify a2 into a2
4.060 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.060 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.060 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.060 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.060 * [taylor]: Taking taylor expansion of a1 in a1
4.060 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify 1 into 1
4.060 * [backup-simplify]: Simplify (* 1 1) into 1
4.061 * [backup-simplify]: Simplify (/ 1 1) into 1
4.061 * [backup-simplify]: Simplify (+ 0 1) into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [backup-simplify]: Simplify (sqrt 1) into 1
4.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.064 * [backup-simplify]: Simplify (+ 0 0) into 0
4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.065 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.065 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.065 * [taylor]: Taking taylor expansion of 2.0 in th
4.065 * [backup-simplify]: Simplify 2.0 into 2.0
4.066 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.067 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.067 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.067 * [taylor]: Taking taylor expansion of -1 in th
4.067 * [backup-simplify]: Simplify -1 into -1
4.067 * [taylor]: Taking taylor expansion of th in th
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (/ -1 1) into -1
4.067 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.068 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.068 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.068 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.068 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.068 * [taylor]: Taking taylor expansion of a2 in th
4.068 * [backup-simplify]: Simplify a2 into a2
4.068 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.068 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.069 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.069 * [taylor]: Taking taylor expansion of a1 in th
4.069 * [backup-simplify]: Simplify a1 into a1
4.069 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.069 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.069 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.070 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.070 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.070 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.070 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.071 * [backup-simplify]: Simplify (+ 0 0) into 0
4.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.072 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
4.072 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.072 * [taylor]: Taking taylor expansion of 2.0 in th
4.073 * [backup-simplify]: Simplify 2.0 into 2.0
4.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.074 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.074 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.074 * [taylor]: Taking taylor expansion of -1 in th
4.074 * [backup-simplify]: Simplify -1 into -1
4.074 * [taylor]: Taking taylor expansion of th in th
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify 1 into 1
4.074 * [backup-simplify]: Simplify (/ -1 1) into -1
4.074 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.075 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.075 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.075 * [taylor]: Taking taylor expansion of a2 in th
4.075 * [backup-simplify]: Simplify a2 into a2
4.075 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.075 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.075 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.075 * [taylor]: Taking taylor expansion of a1 in th
4.076 * [backup-simplify]: Simplify a1 into a1
4.076 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.076 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.076 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.076 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.077 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.077 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.077 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.078 * [backup-simplify]: Simplify (+ 0 0) into 0
4.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.080 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
4.080 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
4.080 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
4.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.080 * [taylor]: Taking taylor expansion of 2.0 in a1
4.080 * [backup-simplify]: Simplify 2.0 into 2.0
4.081 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.081 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.081 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.081 * [taylor]: Taking taylor expansion of -1 in a1
4.081 * [backup-simplify]: Simplify -1 into -1
4.081 * [taylor]: Taking taylor expansion of th in a1
4.082 * [backup-simplify]: Simplify th into th
4.082 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.082 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.082 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.082 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.082 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.082 * [backup-simplify]: Simplify (- 0) into 0
4.082 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.083 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.083 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.083 * [taylor]: Taking taylor expansion of a2 in a1
4.083 * [backup-simplify]: Simplify a2 into a2
4.083 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.083 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.084 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.084 * [taylor]: Taking taylor expansion of a1 in a1
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 1 into 1
4.084 * [backup-simplify]: Simplify (* 1 1) into 1
4.084 * [backup-simplify]: Simplify (/ 1 1) into 1
4.085 * [backup-simplify]: Simplify (+ 0 1) into 1
4.085 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [backup-simplify]: Simplify (sqrt 1) into 1
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.090 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ -1 th))) 1) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.090 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
4.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.090 * [taylor]: Taking taylor expansion of 2.0 in a2
4.090 * [backup-simplify]: Simplify 2.0 into 2.0
4.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.091 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.091 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.091 * [taylor]: Taking taylor expansion of -1 in a2
4.091 * [backup-simplify]: Simplify -1 into -1
4.091 * [taylor]: Taking taylor expansion of th in a2
4.091 * [backup-simplify]: Simplify th into th
4.091 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.091 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.091 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.092 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.092 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.092 * [backup-simplify]: Simplify (- 0) into 0
4.092 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.092 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.092 * [backup-simplify]: Simplify (+ 0) into 0
4.093 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.093 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.094 * [backup-simplify]: Simplify (- 0) into 0
4.094 * [backup-simplify]: Simplify (+ 0 0) into 0
4.095 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.096 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.096 * [taylor]: Taking taylor expansion of 0 in a1
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [taylor]: Taking taylor expansion of 0 in a2
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify (+ 0) into 0
4.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.096 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.097 * [backup-simplify]: Simplify (- 0) into 0
4.098 * [backup-simplify]: Simplify (+ 0 0) into 0
4.098 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.098 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 1)) into 0
4.099 * [taylor]: Taking taylor expansion of 0 in a2
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.101 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.102 * [backup-simplify]: Simplify (- 0) into 0
4.102 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.102 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.103 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (* 0 (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.106 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.107 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.107 * [taylor]: Taking taylor expansion of 0 in a1
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in a2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [taylor]: Taking taylor expansion of 0 in a2
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.107 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
4.107 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
4.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.107 * [taylor]: Taking taylor expansion of 2.0 in th
4.107 * [backup-simplify]: Simplify 2.0 into 2.0
4.108 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.108 * [taylor]: Taking taylor expansion of (cos th) in th
4.108 * [taylor]: Taking taylor expansion of th in th
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.109 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.109 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.109 * [taylor]: Taking taylor expansion of 2.0 in th
4.109 * [backup-simplify]: Simplify 2.0 into 2.0
4.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.109 * [taylor]: Taking taylor expansion of (cos th) in th
4.109 * [taylor]: Taking taylor expansion of th in th
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 1 into 1
4.110 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.111 * [backup-simplify]: Simplify (+ 0) into 0
4.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
4.116 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
4.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.117 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
4.118 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.120 * [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
4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 1/24 1)) (* 0 (/ 0 1)) (* (* 1/2 (sqrt 2.0)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 5/24 (sqrt 2.0))
4.130 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
4.133 * [backup-simplify]: Simplify (+ (* (* 5/24 (sqrt 2.0)) (pow th 4)) (+ (* (* 1/2 (sqrt 2.0)) (pow th 2)) (sqrt 2.0))) into (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
4.133 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.133 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
4.133 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.133 * [taylor]: Taking taylor expansion of 2.0 in th
4.133 * [backup-simplify]: Simplify 2.0 into 2.0
4.134 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.134 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.134 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.135 * [taylor]: Taking taylor expansion of th in th
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.135 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.135 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.136 * [taylor]: Taking taylor expansion of 2.0 in th
4.136 * [backup-simplify]: Simplify 2.0 into 2.0
4.136 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.137 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.137 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.137 * [taylor]: Taking taylor expansion of th in th
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify 1 into 1
4.137 * [backup-simplify]: Simplify (/ 1 1) into 1
4.137 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.137 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.138 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.139 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.139 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.140 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.142 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.142 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.145 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.147 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.147 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.150 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.150 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
4.151 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.151 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
4.151 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.151 * [taylor]: Taking taylor expansion of 2.0 in th
4.151 * [backup-simplify]: Simplify 2.0 into 2.0
4.152 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.153 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.153 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.153 * [taylor]: Taking taylor expansion of -1 in th
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [taylor]: Taking taylor expansion of th in th
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ -1 1) into -1
4.153 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.154 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.154 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.154 * [taylor]: Taking taylor expansion of 2.0 in th
4.154 * [backup-simplify]: Simplify 2.0 into 2.0
4.155 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.155 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.155 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.155 * [taylor]: Taking taylor expansion of -1 in th
4.156 * [backup-simplify]: Simplify -1 into -1
4.156 * [taylor]: Taking taylor expansion of th in th
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ -1 1) into -1
4.156 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.157 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.157 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.158 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.160 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.160 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.162 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.162 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.165 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.167 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
4.170 * * * [progress]: simplifying candidates
4.178 * [simplify]: Simplifying:
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (- (- (log (sqrt 2.0)) (log (cos th))) (log (sqrt (+ (* a1 a1) (pow a2 2)))))
  (- (log (/ (sqrt 2.0) (cos th))) (log (sqrt (+ (* a1 a1) (pow a2 2)))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))) (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))) (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (* (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2)))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt 1))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) 1)
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt 1))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) 1)
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
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  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
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  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
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  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
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  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt 1))
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  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
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  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
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  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
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  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
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  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) 1)
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  (/ (/ 1 (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (sqrt (cos th))) (sqrt 1))
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  (/ (/ 1 (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (sqrt (cos th))) 1)
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  (/ (/ 1 1) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 1) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 1) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 1) (sqrt 1))
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  (/ (/ 1 1) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 1) 1)
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ 1 (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ 1 (sqrt 1))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ 1 1)
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt 1))
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) 1)
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ 1 (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt 1))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt 2.0) (cos th)) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2)))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (- (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))
  a2
  a1
  (* -1 a1)
  a2
  a1
  (* -1 a1)
  0
  0
  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))
4.183 * * [simplify]: iteration 0: 327 enodes
4.294 * * [simplify]: iteration 1: 762 enodes
4.525 * * [simplify]: iteration 2: 2982 enodes
5.334 * * [simplify]: iteration complete: 5000 enodes
5.334 * * [simplify]: Extracting #0: cost 188 inf + 0
5.337 * * [simplify]: Extracting #1: cost 767 inf + 5
5.343 * * [simplify]: Extracting #2: cost 965 inf + 22
5.352 * * [simplify]: Extracting #3: cost 1329 inf + 277
5.363 * * [simplify]: Extracting #4: cost 848 inf + 4300
5.368 * * [simplify]: Extracting #5: cost 264 inf + 11071
5.374 * * [simplify]: Extracting #6: cost 52 inf + 14562
5.384 * * [simplify]: Extracting #7: cost 12 inf + 14854
5.393 * * [simplify]: Extracting #8: cost 0 inf + 14938
5.401 * [simplify]: Simplified to:
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (pow (sqrt (+ (* a1 a1) (* a2 a2))) 3)
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  1
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow a2 6) (pow a1 6)))
  (sqrt (+ (pow a1 (+ 3 1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))
  (sqrt (- (pow a1 (+ 3 1)) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 a2)))
  1/2
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (pow (sqrt (+ (* a1 a1) (* a2 a2))) 3)
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  1
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow a2 6) (pow a1 6)))
  (sqrt (+ (pow a1 (+ 3 1)) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))
  (sqrt (- (pow a1 (+ 3 1)) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 a2)))
  1/2
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (exp (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (pow (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))) 3)
  (pow (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))) 3)
  (* (cbrt (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (cbrt (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (pow (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))) 3)
  (sqrt (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (sqrt (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (- (sqrt 2.0)) (cos th))
  (- (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (cbrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cos th))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cos th))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ 1 (* (sqrt (cos th)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ 1 (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (sqrt 2.0))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ 1 (* (sqrt (cos th)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ 1 (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (sqrt 2.0) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cos th)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* 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 (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (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))) (cos th))
  (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2.0))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (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))) (cos th))
  (/ (* (cbrt (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2.0))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (pow a2 6) (pow a1 6))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (- (pow a1 (+ 3 1)) (pow a2 4))))
  (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  a2
  a1
  (- a1)
  a2
  a1
  (- a1)
  0
  0
  0
  (+ (+ (sqrt 2.0) (* (sqrt 2.0) (* (pow th 4) 5/24))) (* (* 1/2 (* th th)) (sqrt 2.0)))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
5.404 * * * [progress]: adding candidates to table
7.093 * * [progress]: iteration 3 / 4
7.093 * * * [progress]: picking best candidate
7.131 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))>
7.131 * * * [progress]: localizing error
7.168 * * * [progress]: generating rewritten candidates
7.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.177 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
7.189 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.246 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
7.381 * * * [progress]: generating series expansions
7.381 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.382 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.382 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
7.382 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.382 * [taylor]: Taking taylor expansion of (cos th) in th
7.382 * [taylor]: Taking taylor expansion of th in th
7.382 * [backup-simplify]: Simplify 0 into 0
7.382 * [backup-simplify]: Simplify 1 into 1
7.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.382 * [taylor]: Taking taylor expansion of 2.0 in th
7.382 * [backup-simplify]: Simplify 2.0 into 2.0
7.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.385 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.385 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.385 * [taylor]: Taking taylor expansion of (cos th) in th
7.385 * [taylor]: Taking taylor expansion of th in th
7.385 * [backup-simplify]: Simplify 0 into 0
7.385 * [backup-simplify]: Simplify 1 into 1
7.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.385 * [taylor]: Taking taylor expansion of 2.0 in th
7.385 * [backup-simplify]: Simplify 2.0 into 2.0
7.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.387 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.388 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.389 * [backup-simplify]: Simplify (+ 0) into 0
7.390 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.390 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.394 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
7.396 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
7.397 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.398 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
7.399 * [backup-simplify]: Simplify 0 into 0
7.400 * [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
7.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.404 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (* 1/24 (/ 1 (sqrt 2.0)))
7.405 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
7.408 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2.0)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow th 2)) (/ 1 (sqrt 2.0)))) into (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
7.408 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.408 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
7.408 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.408 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.408 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.408 * [taylor]: Taking taylor expansion of th in th
7.408 * [backup-simplify]: Simplify 0 into 0
7.408 * [backup-simplify]: Simplify 1 into 1
7.408 * [backup-simplify]: Simplify (/ 1 1) into 1
7.409 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.409 * [taylor]: Taking taylor expansion of 2.0 in th
7.409 * [backup-simplify]: Simplify 2.0 into 2.0
7.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.410 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.410 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.410 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.410 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.410 * [taylor]: Taking taylor expansion of th in th
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify 1 into 1
7.410 * [backup-simplify]: Simplify (/ 1 1) into 1
7.410 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.410 * [taylor]: Taking taylor expansion of 2.0 in th
7.410 * [backup-simplify]: Simplify 2.0 into 2.0
7.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.411 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.411 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.412 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.412 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.414 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.414 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.417 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.417 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.427 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.433 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.433 * [backup-simplify]: Simplify 0 into 0
7.435 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.439 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.439 * [backup-simplify]: Simplify 0 into 0
7.440 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.440 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.441 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
7.441 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.441 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.441 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.441 * [taylor]: Taking taylor expansion of -1 in th
7.441 * [backup-simplify]: Simplify -1 into -1
7.441 * [taylor]: Taking taylor expansion of th in th
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify 1 into 1
7.441 * [backup-simplify]: Simplify (/ -1 1) into -1
7.441 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.441 * [taylor]: Taking taylor expansion of 2.0 in th
7.441 * [backup-simplify]: Simplify 2.0 into 2.0
7.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.443 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.443 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.443 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.443 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.443 * [taylor]: Taking taylor expansion of -1 in th
7.443 * [backup-simplify]: Simplify -1 into -1
7.443 * [taylor]: Taking taylor expansion of th in th
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 1 into 1
7.444 * [backup-simplify]: Simplify (/ -1 1) into -1
7.444 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.444 * [taylor]: Taking taylor expansion of 2.0 in th
7.444 * [backup-simplify]: Simplify 2.0 into 2.0
7.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.445 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.445 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.446 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.446 * [backup-simplify]: Simplify 0 into 0
7.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.448 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.448 * [backup-simplify]: Simplify 0 into 0
7.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.451 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.454 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.454 * [backup-simplify]: Simplify 0 into 0
7.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.457 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.457 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.461 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
7.462 * [backup-simplify]: Simplify (/ (sqrt 1) (/ (cos th) (sqrt 2.0))) into (/ (sqrt 2.0) (cos th))
7.462 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
7.462 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
7.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.462 * [taylor]: Taking taylor expansion of 2.0 in th
7.462 * [backup-simplify]: Simplify 2.0 into 2.0
7.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.462 * [taylor]: Taking taylor expansion of (cos th) in th
7.462 * [taylor]: Taking taylor expansion of th in th
7.462 * [backup-simplify]: Simplify 0 into 0
7.463 * [backup-simplify]: Simplify 1 into 1
7.463 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.463 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
7.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.463 * [taylor]: Taking taylor expansion of 2.0 in th
7.463 * [backup-simplify]: Simplify 2.0 into 2.0
7.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.464 * [taylor]: Taking taylor expansion of (cos th) in th
7.464 * [taylor]: Taking taylor expansion of th in th
7.464 * [backup-simplify]: Simplify 0 into 0
7.464 * [backup-simplify]: Simplify 1 into 1
7.464 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.465 * [backup-simplify]: Simplify (+ 0) into 0
7.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
7.471 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
7.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.472 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
7.475 * [backup-simplify]: Simplify 0 into 0
7.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.479 * [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
7.489 * [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))
7.490 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
7.492 * [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)))))
7.493 * [backup-simplify]: Simplify (/ (sqrt 1) (/ (cos (/ 1 th)) (sqrt 2.0))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.493 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
7.493 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
7.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.493 * [taylor]: Taking taylor expansion of 2.0 in th
7.493 * [backup-simplify]: Simplify 2.0 into 2.0
7.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.495 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.495 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.495 * [taylor]: Taking taylor expansion of th in th
7.495 * [backup-simplify]: Simplify 0 into 0
7.495 * [backup-simplify]: Simplify 1 into 1
7.495 * [backup-simplify]: Simplify (/ 1 1) into 1
7.495 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.496 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
7.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.496 * [taylor]: Taking taylor expansion of 2.0 in th
7.496 * [backup-simplify]: Simplify 2.0 into 2.0
7.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.497 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.497 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.497 * [taylor]: Taking taylor expansion of th in th
7.497 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify 1 into 1
7.497 * [backup-simplify]: Simplify (/ 1 1) into 1
7.498 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.498 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.499 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
7.499 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
7.499 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.501 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
7.501 * [backup-simplify]: Simplify 0 into 0
7.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.504 * [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
7.504 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.507 * [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
7.507 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.509 * [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
7.509 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.512 * [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
7.512 * [backup-simplify]: Simplify 0 into 0
7.513 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
7.514 * [backup-simplify]: Simplify (/ (sqrt 1) (/ (cos (/ 1 (- th))) (sqrt 2.0))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.514 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
7.514 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
7.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.514 * [taylor]: Taking taylor expansion of 2.0 in th
7.514 * [backup-simplify]: Simplify 2.0 into 2.0
7.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.515 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.515 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.515 * [taylor]: Taking taylor expansion of -1 in th
7.515 * [backup-simplify]: Simplify -1 into -1
7.515 * [taylor]: Taking taylor expansion of th in th
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify 1 into 1
7.516 * [backup-simplify]: Simplify (/ -1 1) into -1
7.516 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.516 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.516 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
7.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.517 * [taylor]: Taking taylor expansion of 2.0 in th
7.517 * [backup-simplify]: Simplify 2.0 into 2.0
7.517 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.518 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.518 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.518 * [taylor]: Taking taylor expansion of -1 in th
7.518 * [backup-simplify]: Simplify -1 into -1
7.518 * [taylor]: Taking taylor expansion of th in th
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [backup-simplify]: Simplify 1 into 1
7.518 * [backup-simplify]: Simplify (/ -1 1) into -1
7.519 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.519 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.520 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
7.520 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
7.520 * [backup-simplify]: Simplify 0 into 0
7.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.522 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
7.522 * [backup-simplify]: Simplify 0 into 0
7.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.525 * [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
7.525 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.527 * [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
7.527 * [backup-simplify]: Simplify 0 into 0
7.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.530 * [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
7.530 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.532 * [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
7.532 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
7.533 * * * * [progress]: [ 3 / 4 ] generating series at (2)
7.534 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
7.534 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
7.534 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
7.534 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
7.534 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
7.534 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.534 * [taylor]: Taking taylor expansion of a2 in th
7.534 * [backup-simplify]: Simplify a2 into a2
7.534 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.534 * [taylor]: Taking taylor expansion of a1 in th
7.534 * [backup-simplify]: Simplify a1 into a1
7.535 * [taylor]: Taking taylor expansion of (cos th) in th
7.535 * [taylor]: Taking taylor expansion of th in th
7.535 * [backup-simplify]: Simplify 0 into 0
7.535 * [backup-simplify]: Simplify 1 into 1
7.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.535 * [taylor]: Taking taylor expansion of 2.0 in th
7.535 * [backup-simplify]: Simplify 2.0 into 2.0
7.535 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.536 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.536 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.536 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
7.537 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
7.537 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
7.537 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
7.537 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
7.537 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.537 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.537 * [taylor]: Taking taylor expansion of a2 in a2
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 1 into 1
7.537 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.537 * [taylor]: Taking taylor expansion of a1 in a2
7.537 * [backup-simplify]: Simplify a1 into a1
7.538 * [taylor]: Taking taylor expansion of (cos th) in a2
7.538 * [taylor]: Taking taylor expansion of th in a2
7.538 * [backup-simplify]: Simplify th into th
7.538 * [backup-simplify]: Simplify (cos th) into (cos th)
7.538 * [backup-simplify]: Simplify (sin th) into (sin th)
7.538 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.538 * [taylor]: Taking taylor expansion of 2.0 in a2
7.538 * [backup-simplify]: Simplify 2.0 into 2.0
7.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.539 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.539 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.539 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.539 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.540 * [backup-simplify]: Simplify (- 0) into 0
7.540 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.540 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
7.541 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
7.541 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
7.541 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
7.541 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.541 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.541 * [taylor]: Taking taylor expansion of a2 in a1
7.541 * [backup-simplify]: Simplify a2 into a2
7.541 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.541 * [taylor]: Taking taylor expansion of a1 in a1
7.541 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify 1 into 1
7.541 * [taylor]: Taking taylor expansion of (cos th) in a1
7.541 * [taylor]: Taking taylor expansion of th in a1
7.541 * [backup-simplify]: Simplify th into th
7.541 * [backup-simplify]: Simplify (cos th) into (cos th)
7.541 * [backup-simplify]: Simplify (sin th) into (sin th)
7.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.541 * [taylor]: Taking taylor expansion of 2.0 in a1
7.541 * [backup-simplify]: Simplify 2.0 into 2.0
7.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.542 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.542 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.543 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.543 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.543 * [backup-simplify]: Simplify (- 0) into 0
7.543 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.543 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
7.544 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
7.544 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
7.544 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
7.544 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.544 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.544 * [taylor]: Taking taylor expansion of a2 in a1
7.544 * [backup-simplify]: Simplify a2 into a2
7.544 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.544 * [taylor]: Taking taylor expansion of a1 in a1
7.544 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify 1 into 1
7.544 * [taylor]: Taking taylor expansion of (cos th) in a1
7.544 * [taylor]: Taking taylor expansion of th in a1
7.544 * [backup-simplify]: Simplify th into th
7.544 * [backup-simplify]: Simplify (cos th) into (cos th)
7.544 * [backup-simplify]: Simplify (sin th) into (sin th)
7.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.545 * [taylor]: Taking taylor expansion of 2.0 in a1
7.545 * [backup-simplify]: Simplify 2.0 into 2.0
7.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.546 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.546 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.546 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.546 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.546 * [backup-simplify]: Simplify (- 0) into 0
7.547 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.547 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
7.547 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
7.547 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
7.547 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
7.547 * [taylor]: Taking taylor expansion of (cos th) in a2
7.547 * [taylor]: Taking taylor expansion of th in a2
7.548 * [backup-simplify]: Simplify th into th
7.548 * [backup-simplify]: Simplify (cos th) into (cos th)
7.548 * [backup-simplify]: Simplify (sin th) into (sin th)
7.548 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.548 * [taylor]: Taking taylor expansion of a2 in a2
7.548 * [backup-simplify]: Simplify 0 into 0
7.548 * [backup-simplify]: Simplify 1 into 1
7.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.548 * [taylor]: Taking taylor expansion of 2.0 in a2
7.548 * [backup-simplify]: Simplify 2.0 into 2.0
7.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.549 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.549 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.550 * [backup-simplify]: Simplify (- 0) into 0
7.550 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.550 * [backup-simplify]: Simplify (* 1 1) into 1
7.550 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.551 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.551 * [backup-simplify]: Simplify (+ 0) into 0
7.552 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.553 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.553 * [backup-simplify]: Simplify (- 0) into 0
7.554 * [backup-simplify]: Simplify (+ 0 0) into 0
7.554 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.554 * [backup-simplify]: Simplify (+ 0 0) into 0
7.554 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
7.556 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.556 * [taylor]: Taking taylor expansion of 0 in a2
7.556 * [backup-simplify]: Simplify 0 into 0
7.556 * [taylor]: Taking taylor expansion of 0 in th
7.556 * [backup-simplify]: Simplify 0 into 0
7.556 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.563 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
7.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.565 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
7.565 * [backup-simplify]: Simplify (- 0) into 0
7.566 * [backup-simplify]: Simplify (+ 0 0) into 0
7.566 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.567 * [backup-simplify]: Simplify (* 1 1) into 1
7.567 * [backup-simplify]: Simplify (+ 0 1) into 1
7.568 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
7.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.571 * [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))
7.571 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
7.571 * [taylor]: Taking taylor expansion of (cos th) in a2
7.571 * [taylor]: Taking taylor expansion of th in a2
7.571 * [backup-simplify]: Simplify th into th
7.571 * [backup-simplify]: Simplify (cos th) into (cos th)
7.571 * [backup-simplify]: Simplify (sin th) into (sin th)
7.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.571 * [taylor]: Taking taylor expansion of 2.0 in a2
7.571 * [backup-simplify]: Simplify 2.0 into 2.0
7.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.572 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.572 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.573 * [backup-simplify]: Simplify (- 0) into 0
7.573 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.573 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.573 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.573 * [taylor]: Taking taylor expansion of (cos th) in th
7.573 * [taylor]: Taking taylor expansion of th in th
7.573 * [backup-simplify]: Simplify 0 into 0
7.573 * [backup-simplify]: Simplify 1 into 1
7.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.573 * [taylor]: Taking taylor expansion of 2.0 in th
7.573 * [backup-simplify]: Simplify 2.0 into 2.0
7.573 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.574 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.575 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.575 * [taylor]: Taking taylor expansion of 0 in th
7.575 * [backup-simplify]: Simplify 0 into 0
7.575 * [backup-simplify]: Simplify 0 into 0
7.575 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.575 * [taylor]: Taking taylor expansion of (cos th) in th
7.575 * [taylor]: Taking taylor expansion of th in th
7.575 * [backup-simplify]: Simplify 0 into 0
7.575 * [backup-simplify]: Simplify 1 into 1
7.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.575 * [taylor]: Taking taylor expansion of 2.0 in th
7.575 * [backup-simplify]: Simplify 2.0 into 2.0
7.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.576 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.577 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.577 * [backup-simplify]: Simplify 0 into 0
7.577 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.578 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.579 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.580 * [backup-simplify]: Simplify (- 0) into 0
7.580 * [backup-simplify]: Simplify (+ 0 0) into 0
7.580 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.581 * [backup-simplify]: Simplify (+ 0 0) into 0
7.582 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
7.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.585 * [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
7.585 * [taylor]: Taking taylor expansion of 0 in a2
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [taylor]: Taking taylor expansion of 0 in th
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify (+ 0) into 0
7.585 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.586 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.586 * [backup-simplify]: Simplify (- 0) into 0
7.586 * [backup-simplify]: Simplify (+ 0 0) into 0
7.588 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.588 * [taylor]: Taking taylor expansion of 0 in th
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [taylor]: Taking taylor expansion of 0 in th
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.588 * [backup-simplify]: Simplify (+ 0) into 0
7.589 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.589 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.590 * [backup-simplify]: Simplify (- 0) into 0
7.590 * [backup-simplify]: Simplify (+ 0 0) into 0
7.590 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.591 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.591 * [taylor]: Taking taylor expansion of 0 in th
7.591 * [backup-simplify]: Simplify 0 into 0
7.591 * [backup-simplify]: Simplify 0 into 0
7.591 * [backup-simplify]: Simplify (+ 0) into 0
7.593 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.593 * [backup-simplify]: Simplify 0 into 0
7.594 * [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)))
7.595 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (/ (sqrt 1) (/ (cos (/ 1 th)) (sqrt 2.0)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.595 * [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
7.595 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
7.595 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.595 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.595 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.595 * [taylor]: Taking taylor expansion of th in th
7.595 * [backup-simplify]: Simplify 0 into 0
7.595 * [backup-simplify]: Simplify 1 into 1
7.595 * [backup-simplify]: Simplify (/ 1 1) into 1
7.595 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.595 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.595 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.595 * [taylor]: Taking taylor expansion of a2 in th
7.595 * [backup-simplify]: Simplify a2 into a2
7.596 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.596 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.596 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.596 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.596 * [taylor]: Taking taylor expansion of a1 in th
7.596 * [backup-simplify]: Simplify a1 into a1
7.596 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.596 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.596 * [taylor]: Taking taylor expansion of 2.0 in th
7.596 * [backup-simplify]: Simplify 2.0 into 2.0
7.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.597 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.597 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.597 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.597 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.597 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.597 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.598 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.598 * [taylor]: Taking taylor expansion of th in a2
7.598 * [backup-simplify]: Simplify th into th
7.598 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.598 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.598 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.598 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.598 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.598 * [taylor]: Taking taylor expansion of a2 in a2
7.598 * [backup-simplify]: Simplify 0 into 0
7.598 * [backup-simplify]: Simplify 1 into 1
7.598 * [backup-simplify]: Simplify (* 1 1) into 1
7.598 * [backup-simplify]: Simplify (/ 1 1) into 1
7.598 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.598 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.598 * [taylor]: Taking taylor expansion of a1 in a2
7.598 * [backup-simplify]: Simplify a1 into a1
7.598 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.598 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.599 * [taylor]: Taking taylor expansion of 2.0 in a2
7.599 * [backup-simplify]: Simplify 2.0 into 2.0
7.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.599 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.599 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.600 * [backup-simplify]: Simplify (- 0) into 0
7.600 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.600 * [backup-simplify]: Simplify (+ 1 0) into 1
7.600 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.600 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.600 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.600 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.600 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.600 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.600 * [taylor]: Taking taylor expansion of th in a1
7.600 * [backup-simplify]: Simplify th into th
7.600 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.600 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.601 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.601 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.601 * [taylor]: Taking taylor expansion of a2 in a1
7.601 * [backup-simplify]: Simplify a2 into a2
7.601 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.601 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.601 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.601 * [taylor]: Taking taylor expansion of a1 in a1
7.601 * [backup-simplify]: Simplify 0 into 0
7.601 * [backup-simplify]: Simplify 1 into 1
7.601 * [backup-simplify]: Simplify (* 1 1) into 1
7.601 * [backup-simplify]: Simplify (/ 1 1) into 1
7.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.601 * [taylor]: Taking taylor expansion of 2.0 in a1
7.601 * [backup-simplify]: Simplify 2.0 into 2.0
7.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.602 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.602 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.602 * [backup-simplify]: Simplify (- 0) into 0
7.602 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.603 * [backup-simplify]: Simplify (+ 0 1) into 1
7.603 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.603 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.603 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.603 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.603 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.603 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.603 * [taylor]: Taking taylor expansion of th in a1
7.603 * [backup-simplify]: Simplify th into th
7.603 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.603 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.603 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.603 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.603 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.603 * [taylor]: Taking taylor expansion of a2 in a1
7.604 * [backup-simplify]: Simplify a2 into a2
7.604 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.604 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.604 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.604 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.604 * [taylor]: Taking taylor expansion of a1 in a1
7.604 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify 1 into 1
7.604 * [backup-simplify]: Simplify (* 1 1) into 1
7.604 * [backup-simplify]: Simplify (/ 1 1) into 1
7.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.604 * [taylor]: Taking taylor expansion of 2.0 in a1
7.604 * [backup-simplify]: Simplify 2.0 into 2.0
7.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.605 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.605 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.605 * [backup-simplify]: Simplify (- 0) into 0
7.605 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.606 * [backup-simplify]: Simplify (+ 0 1) into 1
7.606 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.606 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.606 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
7.606 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.606 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.606 * [taylor]: Taking taylor expansion of th in a2
7.606 * [backup-simplify]: Simplify th into th
7.606 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.606 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.606 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.606 * [taylor]: Taking taylor expansion of 2.0 in a2
7.606 * [backup-simplify]: Simplify 2.0 into 2.0
7.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.607 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.607 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.607 * [backup-simplify]: Simplify (- 0) into 0
7.608 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.608 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.609 * [backup-simplify]: Simplify (+ 0 0) into 0
7.609 * [backup-simplify]: Simplify (+ 0) into 0
7.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.611 * [backup-simplify]: Simplify (- 0) into 0
7.611 * [backup-simplify]: Simplify (+ 0 0) into 0
7.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.612 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.612 * [taylor]: Taking taylor expansion of 0 in a2
7.612 * [backup-simplify]: Simplify 0 into 0
7.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.613 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.616 * [backup-simplify]: Simplify (- 0) into 0
7.616 * [backup-simplify]: Simplify (+ 0 0) into 0
7.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
7.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.619 * [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)))
7.619 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
7.619 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.619 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.619 * [taylor]: Taking taylor expansion of th in a2
7.619 * [backup-simplify]: Simplify th into th
7.619 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.619 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.619 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.619 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
7.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.619 * [taylor]: Taking taylor expansion of 2.0 in a2
7.619 * [backup-simplify]: Simplify 2.0 into 2.0
7.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.620 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.620 * [taylor]: Taking taylor expansion of a2 in a2
7.620 * [backup-simplify]: Simplify 0 into 0
7.620 * [backup-simplify]: Simplify 1 into 1
7.620 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.620 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.620 * [backup-simplify]: Simplify (- 0) into 0
7.620 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.620 * [backup-simplify]: Simplify (* 1 1) into 1
7.621 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
7.621 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.621 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.621 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.621 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.621 * [taylor]: Taking taylor expansion of th in th
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify 1 into 1
7.622 * [backup-simplify]: Simplify (/ 1 1) into 1
7.622 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.622 * [taylor]: Taking taylor expansion of 2.0 in th
7.622 * [backup-simplify]: Simplify 2.0 into 2.0
7.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.623 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.623 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.623 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.623 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.623 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.623 * [taylor]: Taking taylor expansion of th in th
7.623 * [backup-simplify]: Simplify 0 into 0
7.623 * [backup-simplify]: Simplify 1 into 1
7.623 * [backup-simplify]: Simplify (/ 1 1) into 1
7.623 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.623 * [taylor]: Taking taylor expansion of 2.0 in th
7.623 * [backup-simplify]: Simplify 2.0 into 2.0
7.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.624 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.625 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.625 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.626 * [backup-simplify]: Simplify (+ 0 0) into 0
7.627 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.631 * [backup-simplify]: Simplify (- 0) into 0
7.631 * [backup-simplify]: Simplify (+ 0 0) into 0
7.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
7.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.637 * [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
7.637 * [taylor]: Taking taylor expansion of 0 in a2
7.637 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify (+ 0) into 0
7.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.640 * [backup-simplify]: Simplify (- 0) into 0
7.640 * [backup-simplify]: Simplify (+ 0 0) into 0
7.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.642 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
7.643 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.643 * [taylor]: Taking taylor expansion of 0 in th
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [taylor]: Taking taylor expansion of 0 in th
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify (+ 0) into 0
7.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.646 * [backup-simplify]: Simplify (- 0) into 0
7.646 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.648 * [taylor]: Taking taylor expansion of 0 in th
7.648 * [backup-simplify]: Simplify 0 into 0
7.648 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.650 * [backup-simplify]: Simplify 0 into 0
7.651 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.651 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.655 * [backup-simplify]: Simplify (+ 0 0) into 0
7.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
7.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.660 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.661 * [backup-simplify]: Simplify (- 0) into 0
7.662 * [backup-simplify]: Simplify (+ 0 0) into 0
7.663 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
7.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.669 * [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
7.669 * [taylor]: Taking taylor expansion of 0 in a2
7.669 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.672 * [backup-simplify]: Simplify (- 0) into 0
7.673 * [backup-simplify]: Simplify (+ 0 0) into 0
7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.676 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
7.683 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.684 * [taylor]: Taking taylor expansion of 0 in th
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 0 into 0
7.685 * [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)))
7.686 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (/ (sqrt 1) (/ (cos (/ 1 (- th))) (sqrt 2.0)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.686 * [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
7.686 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
7.686 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.686 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.686 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.686 * [taylor]: Taking taylor expansion of -1 in th
7.686 * [backup-simplify]: Simplify -1 into -1
7.686 * [taylor]: Taking taylor expansion of th in th
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 1 into 1
7.686 * [backup-simplify]: Simplify (/ -1 1) into -1
7.686 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.686 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.686 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.686 * [taylor]: Taking taylor expansion of a2 in th
7.686 * [backup-simplify]: Simplify a2 into a2
7.686 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.687 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.687 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.687 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.687 * [taylor]: Taking taylor expansion of a1 in th
7.687 * [backup-simplify]: Simplify a1 into a1
7.687 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.687 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.687 * [taylor]: Taking taylor expansion of 2.0 in th
7.687 * [backup-simplify]: Simplify 2.0 into 2.0
7.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.688 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.688 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.688 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.688 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.688 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.688 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.688 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.688 * [taylor]: Taking taylor expansion of -1 in a2
7.688 * [backup-simplify]: Simplify -1 into -1
7.688 * [taylor]: Taking taylor expansion of th in a2
7.688 * [backup-simplify]: Simplify th into th
7.689 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.689 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.689 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.689 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.689 * [taylor]: Taking taylor expansion of a2 in a2
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.689 * [backup-simplify]: Simplify (* 1 1) into 1
7.689 * [backup-simplify]: Simplify (/ 1 1) into 1
7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.689 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.689 * [taylor]: Taking taylor expansion of a1 in a2
7.689 * [backup-simplify]: Simplify a1 into a1
7.689 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.689 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.689 * [taylor]: Taking taylor expansion of 2.0 in a2
7.689 * [backup-simplify]: Simplify 2.0 into 2.0
7.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.690 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.690 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.691 * [backup-simplify]: Simplify (- 0) into 0
7.691 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.691 * [backup-simplify]: Simplify (+ 1 0) into 1
7.691 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.691 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.691 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.691 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.691 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.691 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.691 * [taylor]: Taking taylor expansion of -1 in a1
7.691 * [backup-simplify]: Simplify -1 into -1
7.691 * [taylor]: Taking taylor expansion of th in a1
7.691 * [backup-simplify]: Simplify th into th
7.691 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.691 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.692 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.692 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.692 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.692 * [taylor]: Taking taylor expansion of a2 in a1
7.692 * [backup-simplify]: Simplify a2 into a2
7.692 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.692 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.692 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.692 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.692 * [taylor]: Taking taylor expansion of a1 in a1
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 1 into 1
7.692 * [backup-simplify]: Simplify (* 1 1) into 1
7.692 * [backup-simplify]: Simplify (/ 1 1) into 1
7.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.692 * [taylor]: Taking taylor expansion of 2.0 in a1
7.692 * [backup-simplify]: Simplify 2.0 into 2.0
7.693 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.693 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.693 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.693 * [backup-simplify]: Simplify (- 0) into 0
7.693 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.694 * [backup-simplify]: Simplify (+ 0 1) into 1
7.694 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.694 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.694 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.694 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.694 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.694 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.694 * [taylor]: Taking taylor expansion of -1 in a1
7.694 * [backup-simplify]: Simplify -1 into -1
7.694 * [taylor]: Taking taylor expansion of th in a1
7.694 * [backup-simplify]: Simplify th into th
7.694 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.694 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.694 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.694 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.694 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.694 * [taylor]: Taking taylor expansion of a2 in a1
7.694 * [backup-simplify]: Simplify a2 into a2
7.695 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.695 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.695 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.695 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.695 * [taylor]: Taking taylor expansion of a1 in a1
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 1 into 1
7.695 * [backup-simplify]: Simplify (* 1 1) into 1
7.695 * [backup-simplify]: Simplify (/ 1 1) into 1
7.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.695 * [taylor]: Taking taylor expansion of 2.0 in a1
7.695 * [backup-simplify]: Simplify 2.0 into 2.0
7.695 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.696 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.696 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.696 * [backup-simplify]: Simplify (- 0) into 0
7.696 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.697 * [backup-simplify]: Simplify (+ 0 1) into 1
7.697 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.697 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.697 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
7.697 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.697 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.697 * [taylor]: Taking taylor expansion of -1 in a2
7.697 * [backup-simplify]: Simplify -1 into -1
7.697 * [taylor]: Taking taylor expansion of th in a2
7.697 * [backup-simplify]: Simplify th into th
7.697 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.697 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.697 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.697 * [taylor]: Taking taylor expansion of 2.0 in a2
7.697 * [backup-simplify]: Simplify 2.0 into 2.0
7.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.698 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.698 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.699 * [backup-simplify]: Simplify (- 0) into 0
7.699 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.699 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.700 * [backup-simplify]: Simplify (+ 0 0) into 0
7.700 * [backup-simplify]: Simplify (+ 0) into 0
7.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.701 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.702 * [backup-simplify]: Simplify (- 0) into 0
7.702 * [backup-simplify]: Simplify (+ 0 0) into 0
7.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.703 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.703 * [taylor]: Taking taylor expansion of 0 in a2
7.703 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.705 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.706 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.706 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.707 * [backup-simplify]: Simplify (- 0) into 0
7.707 * [backup-simplify]: Simplify (+ 0 0) into 0
7.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
7.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.710 * [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)))
7.710 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
7.710 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.710 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.710 * [taylor]: Taking taylor expansion of -1 in a2
7.710 * [backup-simplify]: Simplify -1 into -1
7.710 * [taylor]: Taking taylor expansion of th in a2
7.710 * [backup-simplify]: Simplify th into th
7.710 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.710 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.710 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.710 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
7.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.710 * [taylor]: Taking taylor expansion of 2.0 in a2
7.710 * [backup-simplify]: Simplify 2.0 into 2.0
7.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.711 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.711 * [taylor]: Taking taylor expansion of a2 in a2
7.711 * [backup-simplify]: Simplify 0 into 0
7.711 * [backup-simplify]: Simplify 1 into 1
7.711 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.711 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.711 * [backup-simplify]: Simplify (- 0) into 0
7.711 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.711 * [backup-simplify]: Simplify (* 1 1) into 1
7.712 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
7.713 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.713 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.713 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.713 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.713 * [taylor]: Taking taylor expansion of -1 in th
7.713 * [backup-simplify]: Simplify -1 into -1
7.713 * [taylor]: Taking taylor expansion of th in th
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 1 into 1
7.714 * [backup-simplify]: Simplify (/ -1 1) into -1
7.714 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.714 * [taylor]: Taking taylor expansion of 2.0 in th
7.714 * [backup-simplify]: Simplify 2.0 into 2.0
7.714 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.715 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.716 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.716 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.716 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.716 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.716 * [taylor]: Taking taylor expansion of -1 in th
7.716 * [backup-simplify]: Simplify -1 into -1
7.716 * [taylor]: Taking taylor expansion of th in th
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify 1 into 1
7.717 * [backup-simplify]: Simplify (/ -1 1) into -1
7.717 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.717 * [taylor]: Taking taylor expansion of 2.0 in th
7.717 * [backup-simplify]: Simplify 2.0 into 2.0
7.717 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.719 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.719 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.719 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.722 * [backup-simplify]: Simplify (+ 0 0) into 0
7.723 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.724 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.727 * [backup-simplify]: Simplify (- 0) into 0
7.728 * [backup-simplify]: Simplify (+ 0 0) into 0
7.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
7.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.731 * [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
7.731 * [taylor]: Taking taylor expansion of 0 in a2
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify (+ 0) into 0
7.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.732 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.732 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.733 * [backup-simplify]: Simplify (- 0) into 0
7.733 * [backup-simplify]: Simplify (+ 0 0) into 0
7.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.734 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
7.735 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.735 * [taylor]: Taking taylor expansion of 0 in th
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [taylor]: Taking taylor expansion of 0 in th
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify (+ 0) into 0
7.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.736 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.737 * [backup-simplify]: Simplify (- 0) into 0
7.737 * [backup-simplify]: Simplify (+ 0 0) into 0
7.738 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.738 * [taylor]: Taking taylor expansion of 0 in th
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.739 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.740 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.742 * [backup-simplify]: Simplify (+ 0 0) into 0
7.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
7.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.744 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.746 * [backup-simplify]: Simplify (- 0) into 0
7.746 * [backup-simplify]: Simplify (+ 0 0) into 0
7.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
7.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.750 * [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
7.750 * [taylor]: Taking taylor expansion of 0 in a2
7.750 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.752 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.752 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.753 * [backup-simplify]: Simplify (- 0) into 0
7.753 * [backup-simplify]: Simplify (+ 0 0) into 0
7.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
7.756 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.756 * [taylor]: Taking taylor expansion of 0 in th
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 0 into 0
7.757 * [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)))
7.757 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
7.757 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
7.757 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
7.757 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.757 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.757 * [taylor]: Taking taylor expansion of a2 in a2
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 1 into 1
7.757 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.757 * [taylor]: Taking taylor expansion of a1 in a2
7.757 * [backup-simplify]: Simplify a1 into a1
7.757 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.757 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.757 * [taylor]: Taking taylor expansion of a2 in a1
7.757 * [backup-simplify]: Simplify a2 into a2
7.757 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.757 * [taylor]: Taking taylor expansion of a1 in a1
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 1 into 1
7.757 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.757 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.758 * [taylor]: Taking taylor expansion of a2 in a1
7.758 * [backup-simplify]: Simplify a2 into a2
7.758 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.758 * [taylor]: Taking taylor expansion of a1 in a1
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.758 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.758 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.758 * [taylor]: Taking taylor expansion of a2 in a2
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [taylor]: Taking taylor expansion of 0 in a2
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.759 * [backup-simplify]: Simplify (* 1 1) into 1
7.759 * [backup-simplify]: Simplify (+ 0 1) into 1
7.759 * [taylor]: Taking taylor expansion of 1 in a2
7.759 * [backup-simplify]: Simplify 1 into 1
7.759 * [backup-simplify]: Simplify 1 into 1
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify (* 1 1) into 1
7.759 * [backup-simplify]: Simplify 1 into 1
7.760 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.761 * [backup-simplify]: Simplify (+ 0 0) into 0
7.761 * [taylor]: Taking taylor expansion of 0 in a2
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.762 * [backup-simplify]: Simplify 0 into 0
7.763 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
7.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.765 * [backup-simplify]: Simplify (+ 0 0) into 0
7.765 * [taylor]: Taking taylor expansion of 0 in a2
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
7.765 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.766 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
7.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.766 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.766 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.766 * [taylor]: Taking taylor expansion of a2 in a2
7.766 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify 1 into 1
7.766 * [backup-simplify]: Simplify (* 1 1) into 1
7.766 * [backup-simplify]: Simplify (/ 1 1) into 1
7.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.767 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.767 * [taylor]: Taking taylor expansion of a1 in a2
7.767 * [backup-simplify]: Simplify a1 into a1
7.767 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.767 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.767 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.767 * [taylor]: Taking taylor expansion of a2 in a1
7.767 * [backup-simplify]: Simplify a2 into a2
7.767 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.767 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.767 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.767 * [taylor]: Taking taylor expansion of a1 in a1
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (* 1 1) into 1
7.768 * [backup-simplify]: Simplify (/ 1 1) into 1
7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.768 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.768 * [taylor]: Taking taylor expansion of a2 in a1
7.768 * [backup-simplify]: Simplify a2 into a2
7.768 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.768 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.769 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.769 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.769 * [taylor]: Taking taylor expansion of a1 in a1
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 1 into 1
7.769 * [backup-simplify]: Simplify (* 1 1) into 1
7.769 * [backup-simplify]: Simplify (/ 1 1) into 1
7.770 * [backup-simplify]: Simplify (+ 0 1) into 1
7.770 * [taylor]: Taking taylor expansion of 1 in a2
7.770 * [backup-simplify]: Simplify 1 into 1
7.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.772 * [backup-simplify]: Simplify (+ 0 0) into 0
7.772 * [taylor]: Taking taylor expansion of 0 in a2
7.772 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.774 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.774 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.774 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.774 * [taylor]: Taking taylor expansion of a2 in a2
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify 1 into 1
7.774 * [backup-simplify]: Simplify (* 1 1) into 1
7.775 * [backup-simplify]: Simplify (/ 1 1) into 1
7.775 * [backup-simplify]: Simplify 1 into 1
7.775 * [backup-simplify]: Simplify 1 into 1
7.775 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.778 * [backup-simplify]: Simplify (+ 0 0) into 0
7.778 * [taylor]: Taking taylor expansion of 0 in a2
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.783 * [backup-simplify]: Simplify (+ 0 0) into 0
7.783 * [taylor]: Taking taylor expansion of 0 in a2
7.783 * [backup-simplify]: Simplify 0 into 0
7.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.785 * [backup-simplify]: Simplify 0 into 0
7.785 * [backup-simplify]: Simplify 0 into 0
7.785 * [backup-simplify]: Simplify 0 into 0
7.785 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
7.786 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.786 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
7.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.786 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.786 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.786 * [taylor]: Taking taylor expansion of a2 in a2
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (* 1 1) into 1
7.787 * [backup-simplify]: Simplify (/ 1 1) into 1
7.787 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.787 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.787 * [taylor]: Taking taylor expansion of a1 in a2
7.787 * [backup-simplify]: Simplify a1 into a1
7.787 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.787 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.787 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.787 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.787 * [taylor]: Taking taylor expansion of a2 in a1
7.788 * [backup-simplify]: Simplify a2 into a2
7.788 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.788 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.788 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.788 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.788 * [taylor]: Taking taylor expansion of a1 in a1
7.788 * [backup-simplify]: Simplify 0 into 0
7.788 * [backup-simplify]: Simplify 1 into 1
7.788 * [backup-simplify]: Simplify (* 1 1) into 1
7.789 * [backup-simplify]: Simplify (/ 1 1) into 1
7.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.789 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.789 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.789 * [taylor]: Taking taylor expansion of a2 in a1
7.789 * [backup-simplify]: Simplify a2 into a2
7.789 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.789 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.789 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.789 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.789 * [taylor]: Taking taylor expansion of a1 in a1
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (* 1 1) into 1
7.790 * [backup-simplify]: Simplify (/ 1 1) into 1
7.790 * [backup-simplify]: Simplify (+ 0 1) into 1
7.790 * [taylor]: Taking taylor expansion of 1 in a2
7.790 * [backup-simplify]: Simplify 1 into 1
7.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.792 * [backup-simplify]: Simplify (+ 0 0) into 0
7.792 * [taylor]: Taking taylor expansion of 0 in a2
7.792 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.794 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.794 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.794 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.794 * [taylor]: Taking taylor expansion of a2 in a2
7.794 * [backup-simplify]: Simplify 0 into 0
7.794 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify (* 1 1) into 1
7.795 * [backup-simplify]: Simplify (/ 1 1) into 1
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 0) into 0
7.803 * [taylor]: Taking taylor expansion of 0 in a2
7.803 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 0 into 0
7.806 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [taylor]: Taking taylor expansion of 0 in a2
7.809 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.810 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
7.811 * * * [progress]: simplifying candidates
7.831 * [simplify]: Simplifying:
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
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  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (sqrt (/ (cos th) (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (sqrt (/ (cos th) (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (sqrt (cos th)) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (sqrt (cos th)) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ 1 (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ 1 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (sqrt (/ (cos th) (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ (sqrt (cos th)) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (/ 1 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 1)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt (/ (cos th) (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt (cos th)) (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt (cos th)) 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ 1 (sqrt 1))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ 1 (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ 1 1)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (cos th)))
  (/ (/ (sqrt 1) (/ (cos th) (sqrt 2.0))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 1))
  (* (/ (sqrt 1) (/ (cos th) (sqrt 2.0))) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (* (/ (sqrt 1) (/ (cos th) (sqrt 2.0))) (- (* a1 a1) (* a2 a2)))
  (* (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))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (+ (sqrt 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) (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))
7.853 * * [simplify]: iteration 0: 897 enodes
8.843 * * [simplify]: iteration 1: 2705 enodes
9.332 * * [simplify]: iteration complete: 5001 enodes
9.332 * * [simplify]: Extracting #0: cost 255 inf + 0
9.337 * * [simplify]: Extracting #1: cost 2243 inf + 2
9.354 * * [simplify]: Extracting #2: cost 2180 inf + 628
9.361 * * [simplify]: Extracting #3: cost 2089 inf + 1122
9.374 * * [simplify]: Extracting #4: cost 1220 inf + 9612
9.388 * * [simplify]: Extracting #5: cost 136 inf + 26506
9.399 * * [simplify]: Extracting #6: cost 2 inf + 29556
9.406 * * [simplify]: Extracting #7: cost 0 inf + 29591
9.424 * [simplify]: Simplified to:
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (pow (cos th) 3) (* (sqrt 2.0) 2.0))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (pow (/ (cos th) (sqrt 2.0)) 3)
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (log (/ (cos th) (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt 2.0))))
  (pow (exp (/ 1 (cos th))) (sqrt 2.0))
  (* (/ 1 (pow (cos th) 3)) (* (sqrt 2.0) 2.0))
  (/ 1 (pow (/ (cos th) (sqrt 2.0)) 3))
  (* (cbrt (* (/ 1 (cos th)) (sqrt 2.0))) (cbrt (* (/ 1 (cos th)) (sqrt 2.0))))
  (cbrt (* (/ 1 (cos th)) (sqrt 2.0)))
  (pow (* (/ 1 (cos th)) (sqrt 2.0)) 3)
  (sqrt (* (/ 1 (cos th)) (sqrt 2.0)))
  (sqrt (* (/ 1 (cos th)) (sqrt 2.0)))
  -1
  (/ (- (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (/ 1 (cbrt (/ (cos th) (sqrt 2.0))))
  (/ 1 (sqrt (/ (cos th) (sqrt 2.0))))
  (/ 1 (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (/ (cbrt (cos th)) (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (/ (cbrt (cos th)) (sqrt 2.0)))
  (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0)))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (cos th)))
  (* (/ 1 (sqrt (cos th))) (sqrt 2.0))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (cos th)))
  (* (/ 1 (sqrt (cos th))) (sqrt 2.0))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ 1 (/ (cos th) (cbrt (sqrt 2.0))))
  (fabs (cbrt 2.0))
  (* (/ 1 (cos th)) (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ 1 (cos th)) (sqrt 2.0))
  (sqrt (sqrt 2.0))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ 1 (cos th)) (sqrt 2.0))
  1
  (* (/ 1 (cos th)) (sqrt 2.0))
  (/ 1 (cos th))
  (* 1 (sqrt 2.0))
  (/ 1 (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (/ 1 (cbrt (/ (cos th) (sqrt 2.0))))
  (/ 1 (sqrt (/ (cos th) (sqrt 2.0))))
  (/ 1 (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (/ (cbrt (cos th)) (sqrt 2.0)))
  (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ 1 (/ (cbrt (cos th)) (sqrt 2.0)))
  (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0)))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (cos th)))
  (* (/ 1 (sqrt (cos th))) (sqrt 2.0))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (cos th)))
  (* (/ 1 (sqrt (cos th))) (sqrt 2.0))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ 1 (/ (cos th) (cbrt (sqrt 2.0))))
  (fabs (cbrt 2.0))
  (* (/ 1 (cos th)) (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ 1 (cos th)) (sqrt 2.0))
  (sqrt (sqrt 2.0))
  (* (/ 1 (cos th)) (sqrt (sqrt 2.0)))
  1
  (* (/ 1 (cos th)) (sqrt 2.0))
  1
  (* (/ 1 (cos th)) (sqrt 2.0))
  (/ 1 (cos th))
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  1
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  1
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  1
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  1
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  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (cos th))
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  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
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  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
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  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (cos th))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
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  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
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  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
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  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (* (/ 1 (cos th)) (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (* (/ 1 (cos th)) (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (* (/ 1 (cos th)) (sqrt 2.0))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
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  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cos th) (cbrt (sqrt 2.0)))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (sqrt (cos th)) (fabs (cbrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cos th) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (sqrt (cos th)) (fabs (cbrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (sqrt (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (cos th) (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* 1 (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (cbrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ 1 (cbrt (cos th))) (sqrt (sqrt 2.0))))
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  1
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  1
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  1
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  (cos th)
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  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
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  1
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  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
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  1
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  (cos th)
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  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
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  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
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  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
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  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
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  (/ 1 (sqrt (sqrt 2.0)))
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  1
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  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
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  1
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  (cos th)
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  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
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  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
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  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
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  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cos th) (cbrt (sqrt 2.0)))))
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  (/ 1 (sqrt (sqrt 2.0)))
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  1
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  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
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  1
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  (cos th)
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  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cos th) (cbrt (sqrt 2.0)))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cos th) (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  (cos th)
  (/ (+ (* a1 a1) (pow a2 2)) (* 1 (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cbrt (/ (cos th) (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cbrt (cos th)) (sqrt 2.0))))
  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (cos th) (cbrt (sqrt 2.0)))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (cos th) (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  (cos th)
  (/ (+ (* a1 a1) (pow a2 2)) (* 1 (sqrt 2.0)))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  1
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  (cos th)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (* (/ 1 1) (/ (cos th) (sqrt 2.0)))
  (/ (* (/ 1 (cos th)) (sqrt 2.0)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (* (/ 1 (cos th)) (sqrt 2.0))) (cbrt (* (/ 1 (cos th)) (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (* (/ 1 (cos th)) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (/ (cos th) (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (sqrt (cos th)) (fabs (cbrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (/ 1 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))
  (+ (* a1 a1) (pow a2 2))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (cos th)))
  (/ (* (/ 1 (cos th)) (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (* (/ 1 (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (* (/ 1 (cos th)) (sqrt 2.0)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) 1)
  (/ (* 1 (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (* (pow a1 3) a1))) (/ (cos th) (sqrt 2.0)))
  (* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (cos th)) (sqrt 2.0)))
  (exp (+ (* a1 a1) (pow a2 2)))
  (log (+ (* a1 a1) (pow a2 2)))
  (exp (+ (* a1 a1) (pow a2 2)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (cbrt (+ (* a1 a1) (pow a2 2)))
  (pow (+ (* a1 a1) (pow a2 2)) 3)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3))
  (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (* (pow a1 3) a1))
  (- (* (pow a1 3) a1) (* a2 (pow a2 3)))
  (* (+ a1 a2) (- a1 a2))
  (- (+ (/ 1 (sqrt 2.0)) (* (/ (pow th 4) (sqrt 2.0)) 1/24)) (* (/ (pow th 2) (sqrt 2.0)) 1/2))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (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) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* a1 a1) (/ (sqrt 2.0) (cos th))) (/ (cos th) (/ (sqrt 2.0) (pow a2 2))))
  (+ (/ (* a1 a1) (/ (sqrt 2.0) (cos th))) (/ (cos th) (/ (sqrt 2.0) (pow a2 2))))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
9.438 * * * [progress]: adding candidates to table
11.627 * * [progress]: iteration 4 / 4
11.628 * * * [progress]: picking best candidate
11.661 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))>
11.661 * * * [progress]: localizing error
11.700 * * * [progress]: generating rewritten candidates
11.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
11.727 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
11.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.812 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
11.925 * * * [progress]: generating series expansions
11.925 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
11.925 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
11.925 * * * * [progress]: [ 3 / 4 ] generating series at (2)
11.927 * [backup-simplify]: Simplify (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
11.927 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
11.927 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
11.927 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
11.927 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
11.927 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.927 * [taylor]: Taking taylor expansion of a2 in th
11.927 * [backup-simplify]: Simplify a2 into a2
11.927 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.927 * [taylor]: Taking taylor expansion of a1 in th
11.927 * [backup-simplify]: Simplify a1 into a1
11.927 * [taylor]: Taking taylor expansion of (cos th) in th
11.927 * [taylor]: Taking taylor expansion of th in th
11.927 * [backup-simplify]: Simplify 0 into 0
11.927 * [backup-simplify]: Simplify 1 into 1
11.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.927 * [taylor]: Taking taylor expansion of 2.0 in th
11.928 * [backup-simplify]: Simplify 2.0 into 2.0
11.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.928 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.928 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.929 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
11.929 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
11.929 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
11.929 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
11.929 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
11.929 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
11.929 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.929 * [taylor]: Taking taylor expansion of a2 in a2
11.929 * [backup-simplify]: Simplify 0 into 0
11.929 * [backup-simplify]: Simplify 1 into 1
11.929 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.929 * [taylor]: Taking taylor expansion of a1 in a2
11.929 * [backup-simplify]: Simplify a1 into a1
11.929 * [taylor]: Taking taylor expansion of (cos th) in a2
11.929 * [taylor]: Taking taylor expansion of th in a2
11.929 * [backup-simplify]: Simplify th into th
11.929 * [backup-simplify]: Simplify (cos th) into (cos th)
11.929 * [backup-simplify]: Simplify (sin th) into (sin th)
11.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.930 * [taylor]: Taking taylor expansion of 2.0 in a2
11.930 * [backup-simplify]: Simplify 2.0 into 2.0
11.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.930 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.930 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
11.930 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.931 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.931 * [backup-simplify]: Simplify (- 0) into 0
11.931 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.931 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
11.931 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
11.931 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
11.931 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
11.931 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.931 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.931 * [taylor]: Taking taylor expansion of a2 in a1
11.931 * [backup-simplify]: Simplify a2 into a2
11.931 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.932 * [taylor]: Taking taylor expansion of a1 in a1
11.932 * [backup-simplify]: Simplify 0 into 0
11.932 * [backup-simplify]: Simplify 1 into 1
11.932 * [taylor]: Taking taylor expansion of (cos th) in a1
11.932 * [taylor]: Taking taylor expansion of th in a1
11.932 * [backup-simplify]: Simplify th into th
11.932 * [backup-simplify]: Simplify (cos th) into (cos th)
11.932 * [backup-simplify]: Simplify (sin th) into (sin th)
11.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.932 * [taylor]: Taking taylor expansion of 2.0 in a1
11.932 * [backup-simplify]: Simplify 2.0 into 2.0
11.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.932 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.933 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.933 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.933 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.933 * [backup-simplify]: Simplify (- 0) into 0
11.933 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.933 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
11.933 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
11.934 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
11.934 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
11.934 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.934 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.934 * [taylor]: Taking taylor expansion of a2 in a1
11.934 * [backup-simplify]: Simplify a2 into a2
11.934 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.934 * [taylor]: Taking taylor expansion of a1 in a1
11.934 * [backup-simplify]: Simplify 0 into 0
11.934 * [backup-simplify]: Simplify 1 into 1
11.934 * [taylor]: Taking taylor expansion of (cos th) in a1
11.934 * [taylor]: Taking taylor expansion of th in a1
11.934 * [backup-simplify]: Simplify th into th
11.934 * [backup-simplify]: Simplify (cos th) into (cos th)
11.934 * [backup-simplify]: Simplify (sin th) into (sin th)
11.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.934 * [taylor]: Taking taylor expansion of 2.0 in a1
11.934 * [backup-simplify]: Simplify 2.0 into 2.0
11.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.935 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.935 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.935 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.935 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.935 * [backup-simplify]: Simplify (- 0) into 0
11.935 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.935 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
11.936 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
11.936 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
11.936 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
11.936 * [taylor]: Taking taylor expansion of (cos th) in a2
11.936 * [taylor]: Taking taylor expansion of th in a2
11.936 * [backup-simplify]: Simplify th into th
11.936 * [backup-simplify]: Simplify (cos th) into (cos th)
11.936 * [backup-simplify]: Simplify (sin th) into (sin th)
11.936 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.936 * [taylor]: Taking taylor expansion of a2 in a2
11.936 * [backup-simplify]: Simplify 0 into 0
11.936 * [backup-simplify]: Simplify 1 into 1
11.936 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.936 * [taylor]: Taking taylor expansion of 2.0 in a2
11.936 * [backup-simplify]: Simplify 2.0 into 2.0
11.936 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.937 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.937 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.937 * [backup-simplify]: Simplify (- 0) into 0
11.937 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.937 * [backup-simplify]: Simplify (* 1 1) into 1
11.937 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.938 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
11.938 * [backup-simplify]: Simplify (+ 0) into 0
11.938 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.939 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
11.939 * [backup-simplify]: Simplify (- 0) into 0
11.939 * [backup-simplify]: Simplify (+ 0 0) into 0
11.940 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.940 * [backup-simplify]: Simplify (+ 0 0) into 0
11.940 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
11.941 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.941 * [taylor]: Taking taylor expansion of 0 in a2
11.941 * [backup-simplify]: Simplify 0 into 0
11.941 * [taylor]: Taking taylor expansion of 0 in th
11.941 * [backup-simplify]: Simplify 0 into 0
11.941 * [backup-simplify]: Simplify 0 into 0
11.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.942 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
11.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.943 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
11.943 * [backup-simplify]: Simplify (- 0) into 0
11.943 * [backup-simplify]: Simplify (+ 0 0) into 0
11.944 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.944 * [backup-simplify]: Simplify (* 1 1) into 1
11.944 * [backup-simplify]: Simplify (+ 0 1) into 1
11.945 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
11.945 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.947 * [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))
11.947 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
11.947 * [taylor]: Taking taylor expansion of (cos th) in a2
11.947 * [taylor]: Taking taylor expansion of th in a2
11.947 * [backup-simplify]: Simplify th into th
11.947 * [backup-simplify]: Simplify (cos th) into (cos th)
11.947 * [backup-simplify]: Simplify (sin th) into (sin th)
11.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.947 * [taylor]: Taking taylor expansion of 2.0 in a2
11.947 * [backup-simplify]: Simplify 2.0 into 2.0
11.947 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.948 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.948 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.948 * [backup-simplify]: Simplify (- 0) into 0
11.948 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.949 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
11.949 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
11.949 * [taylor]: Taking taylor expansion of (cos th) in th
11.949 * [taylor]: Taking taylor expansion of th in th
11.949 * [backup-simplify]: Simplify 0 into 0
11.949 * [backup-simplify]: Simplify 1 into 1
11.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.949 * [taylor]: Taking taylor expansion of 2.0 in th
11.949 * [backup-simplify]: Simplify 2.0 into 2.0
11.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.951 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.952 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.952 * [taylor]: Taking taylor expansion of 0 in th
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
11.952 * [taylor]: Taking taylor expansion of (cos th) in th
11.952 * [taylor]: Taking taylor expansion of th in th
11.952 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.953 * [taylor]: Taking taylor expansion of 2.0 in th
11.953 * [backup-simplify]: Simplify 2.0 into 2.0
11.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.955 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.956 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.956 * [backup-simplify]: Simplify 0 into 0
11.957 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.957 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.960 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.960 * [backup-simplify]: Simplify (- 0) into 0
11.961 * [backup-simplify]: Simplify (+ 0 0) into 0
11.961 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
11.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.963 * [backup-simplify]: Simplify (+ 0 0) into 0
11.964 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
11.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.968 * [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
11.968 * [taylor]: Taking taylor expansion of 0 in a2
11.968 * [backup-simplify]: Simplify 0 into 0
11.968 * [taylor]: Taking taylor expansion of 0 in th
11.968 * [backup-simplify]: Simplify 0 into 0
11.968 * [backup-simplify]: Simplify 0 into 0
11.969 * [backup-simplify]: Simplify (+ 0) into 0
11.969 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.970 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
11.971 * [backup-simplify]: Simplify (- 0) into 0
11.971 * [backup-simplify]: Simplify (+ 0 0) into 0
11.973 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.973 * [taylor]: Taking taylor expansion of 0 in th
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [taylor]: Taking taylor expansion of 0 in th
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.974 * [backup-simplify]: Simplify (+ 0) into 0
11.975 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.976 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
11.976 * [backup-simplify]: Simplify (- 0) into 0
11.977 * [backup-simplify]: Simplify (+ 0 0) into 0
11.977 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.979 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.979 * [taylor]: Taking taylor expansion of 0 in th
11.979 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify (+ 0) into 0
11.980 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.980 * [backup-simplify]: Simplify 0 into 0
11.982 * [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)))
11.985 * [backup-simplify]: Simplify (/ (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2)) 1) (cos (/ 1 th))) (/ (sqrt 1) (/ 1 (sqrt 2.0)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
11.985 * [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
11.985 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
11.985 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
11.985 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
11.985 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.985 * [taylor]: Taking taylor expansion of th in th
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 1 into 1
11.986 * [backup-simplify]: Simplify (/ 1 1) into 1
11.986 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
11.986 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
11.986 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.986 * [taylor]: Taking taylor expansion of a2 in th
11.986 * [backup-simplify]: Simplify a2 into a2
11.986 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.986 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.986 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
11.986 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.986 * [taylor]: Taking taylor expansion of a1 in th
11.986 * [backup-simplify]: Simplify a1 into a1
11.986 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.987 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.987 * [taylor]: Taking taylor expansion of 2.0 in th
11.987 * [backup-simplify]: Simplify 2.0 into 2.0
11.987 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.988 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
11.988 * [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))))
11.989 * [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))
11.989 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
11.989 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.989 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
11.989 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
11.989 * [taylor]: Taking taylor expansion of th in a2
11.989 * [backup-simplify]: Simplify th into th
11.990 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.990 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.990 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.990 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.990 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.990 * [taylor]: Taking taylor expansion of a2 in a2
11.990 * [backup-simplify]: Simplify 0 into 0
11.990 * [backup-simplify]: Simplify 1 into 1
11.990 * [backup-simplify]: Simplify (* 1 1) into 1
11.991 * [backup-simplify]: Simplify (/ 1 1) into 1
11.991 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.991 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.991 * [taylor]: Taking taylor expansion of a1 in a2
11.991 * [backup-simplify]: Simplify a1 into a1
11.991 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.991 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.991 * [taylor]: Taking taylor expansion of 2.0 in a2
11.991 * [backup-simplify]: Simplify 2.0 into 2.0
11.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.992 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.992 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.993 * [backup-simplify]: Simplify (- 0) into 0
11.993 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.993 * [backup-simplify]: Simplify (+ 1 0) into 1
11.993 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.993 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
11.993 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
11.993 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.993 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
11.993 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
11.993 * [taylor]: Taking taylor expansion of th in a1
11.993 * [backup-simplify]: Simplify th into th
11.993 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.993 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.993 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.994 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.994 * [taylor]: Taking taylor expansion of a2 in a1
11.994 * [backup-simplify]: Simplify a2 into a2
11.994 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.994 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.994 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.994 * [taylor]: Taking taylor expansion of a1 in a1
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 1 into 1
11.994 * [backup-simplify]: Simplify (* 1 1) into 1
11.994 * [backup-simplify]: Simplify (/ 1 1) into 1
11.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.994 * [taylor]: Taking taylor expansion of 2.0 in a1
11.994 * [backup-simplify]: Simplify 2.0 into 2.0
11.995 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.995 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.995 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.995 * [backup-simplify]: Simplify (- 0) into 0
11.995 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.996 * [backup-simplify]: Simplify (+ 0 1) into 1
11.996 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.996 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
11.996 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
11.996 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.996 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
11.996 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
11.996 * [taylor]: Taking taylor expansion of th in a1
11.996 * [backup-simplify]: Simplify th into th
11.996 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.996 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.996 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.996 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.996 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.996 * [taylor]: Taking taylor expansion of a2 in a1
11.996 * [backup-simplify]: Simplify a2 into a2
11.996 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.997 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.997 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.997 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.997 * [taylor]: Taking taylor expansion of a1 in a1
11.997 * [backup-simplify]: Simplify 0 into 0
11.997 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (* 1 1) into 1
11.997 * [backup-simplify]: Simplify (/ 1 1) into 1
11.997 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.997 * [taylor]: Taking taylor expansion of 2.0 in a1
11.997 * [backup-simplify]: Simplify 2.0 into 2.0
11.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.998 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.998 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.998 * [backup-simplify]: Simplify (- 0) into 0
11.998 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.999 * [backup-simplify]: Simplify (+ 0 1) into 1
11.999 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.999 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
11.999 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
11.999 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
11.999 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
11.999 * [taylor]: Taking taylor expansion of th in a2
11.999 * [backup-simplify]: Simplify th into th
11.999 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.999 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.999 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.999 * [taylor]: Taking taylor expansion of 2.0 in a2
11.999 * [backup-simplify]: Simplify 2.0 into 2.0
12.000 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.000 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.000 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.000 * [backup-simplify]: Simplify (- 0) into 0
12.000 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.001 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.002 * [backup-simplify]: Simplify (+ 0 0) into 0
12.002 * [backup-simplify]: Simplify (+ 0) into 0
12.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.003 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.003 * [backup-simplify]: Simplify (- 0) into 0
12.004 * [backup-simplify]: Simplify (+ 0 0) into 0
12.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.005 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.005 * [taylor]: Taking taylor expansion of 0 in a2
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.006 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.014 * [backup-simplify]: Simplify (- 0) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
12.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.018 * [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)))
12.018 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.018 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.018 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.018 * [taylor]: Taking taylor expansion of th in a2
12.018 * [backup-simplify]: Simplify th into th
12.018 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.018 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.018 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.018 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.018 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.018 * [taylor]: Taking taylor expansion of 2.0 in a2
12.018 * [backup-simplify]: Simplify 2.0 into 2.0
12.018 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.019 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.019 * [taylor]: Taking taylor expansion of a2 in a2
12.019 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify 1 into 1
12.019 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.019 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.019 * [backup-simplify]: Simplify (- 0) into 0
12.020 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.020 * [backup-simplify]: Simplify (* 1 1) into 1
12.020 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.021 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.021 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.021 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.021 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.021 * [taylor]: Taking taylor expansion of th in th
12.021 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify 1 into 1
12.021 * [backup-simplify]: Simplify (/ 1 1) into 1
12.021 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.021 * [taylor]: Taking taylor expansion of 2.0 in th
12.021 * [backup-simplify]: Simplify 2.0 into 2.0
12.021 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.022 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.022 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.023 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.023 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.023 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.023 * [taylor]: Taking taylor expansion of th in th
12.023 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify 1 into 1
12.023 * [backup-simplify]: Simplify (/ 1 1) into 1
12.023 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.023 * [taylor]: Taking taylor expansion of 2.0 in th
12.023 * [backup-simplify]: Simplify 2.0 into 2.0
12.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.024 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.025 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.025 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.027 * [backup-simplify]: Simplify (+ 0 0) into 0
12.028 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.032 * [backup-simplify]: Simplify (- 0) into 0
12.032 * [backup-simplify]: Simplify (+ 0 0) into 0
12.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.038 * [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
12.038 * [taylor]: Taking taylor expansion of 0 in a2
12.038 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify (+ 0) into 0
12.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.041 * [backup-simplify]: Simplify (- 0) into 0
12.041 * [backup-simplify]: Simplify (+ 0 0) into 0
12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.043 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.044 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.044 * [taylor]: Taking taylor expansion of 0 in th
12.044 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify 0 into 0
12.044 * [taylor]: Taking taylor expansion of 0 in th
12.044 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify 0 into 0
12.045 * [backup-simplify]: Simplify (+ 0) into 0
12.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.047 * [backup-simplify]: Simplify (- 0) into 0
12.047 * [backup-simplify]: Simplify (+ 0 0) into 0
12.049 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.049 * [taylor]: Taking taylor expansion of 0 in th
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.052 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.052 * [backup-simplify]: Simplify 0 into 0
12.052 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
12.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.056 * [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
12.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.057 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.058 * [backup-simplify]: Simplify (- 0) into 0
12.058 * [backup-simplify]: Simplify (+ 0 0) into 0
12.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
12.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.062 * [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
12.062 * [taylor]: Taking taylor expansion of 0 in a2
12.062 * [backup-simplify]: Simplify 0 into 0
12.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.064 * [backup-simplify]: Simplify (- 0) into 0
12.064 * [backup-simplify]: Simplify (+ 0 0) into 0
12.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.066 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.068 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.068 * [taylor]: Taking taylor expansion of 0 in th
12.068 * [backup-simplify]: Simplify 0 into 0
12.068 * [backup-simplify]: Simplify 0 into 0
12.069 * [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)))
12.070 * [backup-simplify]: Simplify (/ (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2)) 1) (cos (/ 1 (- th)))) (/ (sqrt 1) (/ 1 (sqrt 2.0)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
12.070 * [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
12.070 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
12.070 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
12.070 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.070 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.070 * [taylor]: Taking taylor expansion of -1 in th
12.070 * [backup-simplify]: Simplify -1 into -1
12.070 * [taylor]: Taking taylor expansion of th in th
12.070 * [backup-simplify]: Simplify 0 into 0
12.070 * [backup-simplify]: Simplify 1 into 1
12.071 * [backup-simplify]: Simplify (/ -1 1) into -1
12.071 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
12.071 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.071 * [taylor]: Taking taylor expansion of a2 in th
12.071 * [backup-simplify]: Simplify a2 into a2
12.071 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.071 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.071 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
12.071 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.071 * [taylor]: Taking taylor expansion of a1 in th
12.071 * [backup-simplify]: Simplify a1 into a1
12.071 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.071 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.071 * [taylor]: Taking taylor expansion of 2.0 in th
12.071 * [backup-simplify]: Simplify 2.0 into 2.0
12.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.072 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
12.072 * [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))))
12.073 * [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))
12.073 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
12.073 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
12.073 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.073 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.073 * [taylor]: Taking taylor expansion of -1 in a2
12.073 * [backup-simplify]: Simplify -1 into -1
12.073 * [taylor]: Taking taylor expansion of th in a2
12.073 * [backup-simplify]: Simplify th into th
12.073 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.073 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.073 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
12.073 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
12.073 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.073 * [taylor]: Taking taylor expansion of a2 in a2
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 1 into 1
12.074 * [backup-simplify]: Simplify (* 1 1) into 1
12.074 * [backup-simplify]: Simplify (/ 1 1) into 1
12.074 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
12.074 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.074 * [taylor]: Taking taylor expansion of a1 in a2
12.074 * [backup-simplify]: Simplify a1 into a1
12.074 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.074 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.074 * [taylor]: Taking taylor expansion of 2.0 in a2
12.074 * [backup-simplify]: Simplify 2.0 into 2.0
12.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.075 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.075 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.075 * [backup-simplify]: Simplify (- 0) into 0
12.075 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.075 * [backup-simplify]: Simplify (+ 1 0) into 1
12.075 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.076 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.076 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
12.076 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.076 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.076 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.076 * [taylor]: Taking taylor expansion of -1 in a1
12.076 * [backup-simplify]: Simplify -1 into -1
12.076 * [taylor]: Taking taylor expansion of th in a1
12.076 * [backup-simplify]: Simplify th into th
12.076 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.076 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.076 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.076 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.076 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.076 * [taylor]: Taking taylor expansion of a2 in a1
12.076 * [backup-simplify]: Simplify a2 into a2
12.076 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.076 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.076 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.076 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.076 * [taylor]: Taking taylor expansion of a1 in a1
12.076 * [backup-simplify]: Simplify 0 into 0
12.076 * [backup-simplify]: Simplify 1 into 1
12.077 * [backup-simplify]: Simplify (* 1 1) into 1
12.077 * [backup-simplify]: Simplify (/ 1 1) into 1
12.077 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.077 * [taylor]: Taking taylor expansion of 2.0 in a1
12.077 * [backup-simplify]: Simplify 2.0 into 2.0
12.077 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.078 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.078 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.078 * [backup-simplify]: Simplify (- 0) into 0
12.078 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.078 * [backup-simplify]: Simplify (+ 0 1) into 1
12.078 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.079 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.079 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
12.079 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.079 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.079 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.079 * [taylor]: Taking taylor expansion of -1 in a1
12.079 * [backup-simplify]: Simplify -1 into -1
12.079 * [taylor]: Taking taylor expansion of th in a1
12.079 * [backup-simplify]: Simplify th into th
12.079 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.079 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.079 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.079 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.079 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.079 * [taylor]: Taking taylor expansion of a2 in a1
12.079 * [backup-simplify]: Simplify a2 into a2
12.079 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.079 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.079 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.079 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.079 * [taylor]: Taking taylor expansion of a1 in a1
12.079 * [backup-simplify]: Simplify 0 into 0
12.079 * [backup-simplify]: Simplify 1 into 1
12.079 * [backup-simplify]: Simplify (* 1 1) into 1
12.080 * [backup-simplify]: Simplify (/ 1 1) into 1
12.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.080 * [taylor]: Taking taylor expansion of 2.0 in a1
12.080 * [backup-simplify]: Simplify 2.0 into 2.0
12.080 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.081 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.081 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.081 * [backup-simplify]: Simplify (- 0) into 0
12.081 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.081 * [backup-simplify]: Simplify (+ 0 1) into 1
12.081 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.082 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.082 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
12.082 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.082 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.082 * [taylor]: Taking taylor expansion of -1 in a2
12.082 * [backup-simplify]: Simplify -1 into -1
12.082 * [taylor]: Taking taylor expansion of th in a2
12.082 * [backup-simplify]: Simplify th into th
12.082 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.082 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.082 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.082 * [taylor]: Taking taylor expansion of 2.0 in a2
12.082 * [backup-simplify]: Simplify 2.0 into 2.0
12.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.083 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.083 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.083 * [backup-simplify]: Simplify (- 0) into 0
12.083 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.083 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.085 * [backup-simplify]: Simplify (+ 0 0) into 0
12.085 * [backup-simplify]: Simplify (+ 0) into 0
12.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.086 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.088 * [backup-simplify]: Simplify (- 0) into 0
12.088 * [backup-simplify]: Simplify (+ 0 0) into 0
12.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.090 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.090 * [taylor]: Taking taylor expansion of 0 in a2
12.090 * [backup-simplify]: Simplify 0 into 0
12.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.092 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.094 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.094 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.095 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.096 * [backup-simplify]: Simplify (- 0) into 0
12.096 * [backup-simplify]: Simplify (+ 0 0) into 0
12.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
12.098 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.100 * [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)))
12.100 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.100 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.100 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.100 * [taylor]: Taking taylor expansion of -1 in a2
12.100 * [backup-simplify]: Simplify -1 into -1
12.101 * [taylor]: Taking taylor expansion of th in a2
12.101 * [backup-simplify]: Simplify th into th
12.101 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.101 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.101 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.101 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.101 * [taylor]: Taking taylor expansion of 2.0 in a2
12.101 * [backup-simplify]: Simplify 2.0 into 2.0
12.101 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.102 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.102 * [taylor]: Taking taylor expansion of a2 in a2
12.102 * [backup-simplify]: Simplify 0 into 0
12.102 * [backup-simplify]: Simplify 1 into 1
12.102 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.102 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.103 * [backup-simplify]: Simplify (- 0) into 0
12.103 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.103 * [backup-simplify]: Simplify (* 1 1) into 1
12.104 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.104 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.105 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.105 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.105 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.105 * [taylor]: Taking taylor expansion of -1 in th
12.105 * [backup-simplify]: Simplify -1 into -1
12.105 * [taylor]: Taking taylor expansion of th in th
12.105 * [backup-simplify]: Simplify 0 into 0
12.105 * [backup-simplify]: Simplify 1 into 1
12.105 * [backup-simplify]: Simplify (/ -1 1) into -1
12.105 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.105 * [taylor]: Taking taylor expansion of 2.0 in th
12.105 * [backup-simplify]: Simplify 2.0 into 2.0
12.106 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.107 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.107 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.107 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.107 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.107 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.107 * [taylor]: Taking taylor expansion of -1 in th
12.107 * [backup-simplify]: Simplify -1 into -1
12.108 * [taylor]: Taking taylor expansion of th in th
12.108 * [backup-simplify]: Simplify 0 into 0
12.108 * [backup-simplify]: Simplify 1 into 1
12.108 * [backup-simplify]: Simplify (/ -1 1) into -1
12.108 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.108 * [taylor]: Taking taylor expansion of 2.0 in th
12.108 * [backup-simplify]: Simplify 2.0 into 2.0
12.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.110 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.110 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.111 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.115 * [backup-simplify]: Simplify (+ 0 0) into 0
12.116 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.116 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.118 * [backup-simplify]: Simplify (- 0) into 0
12.118 * [backup-simplify]: Simplify (+ 0 0) into 0
12.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.121 * [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
12.121 * [taylor]: Taking taylor expansion of 0 in a2
12.121 * [backup-simplify]: Simplify 0 into 0
12.122 * [backup-simplify]: Simplify (+ 0) into 0
12.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.122 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.123 * [backup-simplify]: Simplify (- 0) into 0
12.123 * [backup-simplify]: Simplify (+ 0 0) into 0
12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.124 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.125 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.125 * [taylor]: Taking taylor expansion of 0 in th
12.125 * [backup-simplify]: Simplify 0 into 0
12.125 * [backup-simplify]: Simplify 0 into 0
12.125 * [taylor]: Taking taylor expansion of 0 in th
12.125 * [backup-simplify]: Simplify 0 into 0
12.125 * [backup-simplify]: Simplify 0 into 0
12.125 * [backup-simplify]: Simplify (+ 0) into 0
12.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.126 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.127 * [backup-simplify]: Simplify (- 0) into 0
12.127 * [backup-simplify]: Simplify (+ 0 0) into 0
12.132 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.132 * [taylor]: Taking taylor expansion of 0 in th
12.132 * [backup-simplify]: Simplify 0 into 0
12.132 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.134 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
12.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.137 * [backup-simplify]: Simplify (+ 0 0) into 0
12.138 * [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
12.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.139 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.140 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.140 * [backup-simplify]: Simplify (- 0) into 0
12.140 * [backup-simplify]: Simplify (+ 0 0) into 0
12.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
12.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.145 * [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
12.145 * [taylor]: Taking taylor expansion of 0 in a2
12.145 * [backup-simplify]: Simplify 0 into 0
12.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.147 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.148 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.149 * [backup-simplify]: Simplify (- 0) into 0
12.149 * [backup-simplify]: Simplify (+ 0 0) into 0
12.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.152 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.154 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.155 * [taylor]: Taking taylor expansion of 0 in th
12.155 * [backup-simplify]: Simplify 0 into 0
12.155 * [backup-simplify]: Simplify 0 into 0
12.156 * [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)))
12.156 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
12.157 * [backup-simplify]: Simplify (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) into (* (+ (pow a2 2) (pow a1 2)) (cos th))
12.157 * [approximate]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in (a1 a2 th) around 0
12.157 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
12.157 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
12.157 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.157 * [taylor]: Taking taylor expansion of a2 in th
12.157 * [backup-simplify]: Simplify a2 into a2
12.157 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.157 * [taylor]: Taking taylor expansion of a1 in th
12.157 * [backup-simplify]: Simplify a1 into a1
12.157 * [taylor]: Taking taylor expansion of (cos th) in th
12.157 * [taylor]: Taking taylor expansion of th in th
12.157 * [backup-simplify]: Simplify 0 into 0
12.157 * [backup-simplify]: Simplify 1 into 1
12.157 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
12.157 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
12.157 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.157 * [taylor]: Taking taylor expansion of a2 in a2
12.157 * [backup-simplify]: Simplify 0 into 0
12.157 * [backup-simplify]: Simplify 1 into 1
12.157 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.157 * [taylor]: Taking taylor expansion of a1 in a2
12.157 * [backup-simplify]: Simplify a1 into a1
12.157 * [taylor]: Taking taylor expansion of (cos th) in a2
12.157 * [taylor]: Taking taylor expansion of th in a2
12.157 * [backup-simplify]: Simplify th into th
12.157 * [backup-simplify]: Simplify (cos th) into (cos th)
12.158 * [backup-simplify]: Simplify (sin th) into (sin th)
12.158 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
12.158 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
12.158 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.158 * [taylor]: Taking taylor expansion of a2 in a1
12.158 * [backup-simplify]: Simplify a2 into a2
12.158 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.158 * [taylor]: Taking taylor expansion of a1 in a1
12.158 * [backup-simplify]: Simplify 0 into 0
12.158 * [backup-simplify]: Simplify 1 into 1
12.158 * [taylor]: Taking taylor expansion of (cos th) in a1
12.158 * [taylor]: Taking taylor expansion of th in a1
12.158 * [backup-simplify]: Simplify th into th
12.158 * [backup-simplify]: Simplify (cos th) into (cos th)
12.158 * [backup-simplify]: Simplify (sin th) into (sin th)
12.158 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
12.158 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
12.158 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.158 * [taylor]: Taking taylor expansion of a2 in a1
12.158 * [backup-simplify]: Simplify a2 into a2
12.158 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.158 * [taylor]: Taking taylor expansion of a1 in a1
12.158 * [backup-simplify]: Simplify 0 into 0
12.158 * [backup-simplify]: Simplify 1 into 1
12.158 * [taylor]: Taking taylor expansion of (cos th) in a1
12.158 * [taylor]: Taking taylor expansion of th in a1
12.158 * [backup-simplify]: Simplify th into th
12.158 * [backup-simplify]: Simplify (cos th) into (cos th)
12.158 * [backup-simplify]: Simplify (sin th) into (sin th)
12.159 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.159 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
12.159 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.159 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.159 * [backup-simplify]: Simplify (- 0) into 0
12.159 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.160 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
12.160 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
12.160 * [taylor]: Taking taylor expansion of (cos th) in a2
12.160 * [taylor]: Taking taylor expansion of th in a2
12.160 * [backup-simplify]: Simplify th into th
12.160 * [backup-simplify]: Simplify (cos th) into (cos th)
12.160 * [backup-simplify]: Simplify (sin th) into (sin th)
12.160 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.160 * [taylor]: Taking taylor expansion of a2 in a2
12.160 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify 1 into 1
12.160 * [backup-simplify]: Simplify (+ 0) into 0
12.160 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.161 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.161 * [backup-simplify]: Simplify (- 0) into 0
12.162 * [backup-simplify]: Simplify (+ 0 0) into 0
12.162 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.162 * [backup-simplify]: Simplify (+ 0 0) into 0
12.162 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
12.162 * [taylor]: Taking taylor expansion of 0 in a2
12.162 * [backup-simplify]: Simplify 0 into 0
12.162 * [taylor]: Taking taylor expansion of 0 in th
12.162 * [backup-simplify]: Simplify 0 into 0
12.162 * [backup-simplify]: Simplify 0 into 0
12.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.163 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
12.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.164 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
12.164 * [backup-simplify]: Simplify (- 0) into 0
12.165 * [backup-simplify]: Simplify (+ 0 0) into 0
12.165 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.165 * [backup-simplify]: Simplify (* 1 1) into 1
12.165 * [backup-simplify]: Simplify (+ 0 1) into 1
12.166 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
12.166 * [taylor]: Taking taylor expansion of (cos th) in a2
12.166 * [taylor]: Taking taylor expansion of th in a2
12.166 * [backup-simplify]: Simplify th into th
12.166 * [backup-simplify]: Simplify (cos th) into (cos th)
12.166 * [backup-simplify]: Simplify (sin th) into (sin th)
12.166 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.166 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.166 * [backup-simplify]: Simplify (- 0) into 0
12.166 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.166 * [taylor]: Taking taylor expansion of (cos th) in th
12.166 * [taylor]: Taking taylor expansion of th in th
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [taylor]: Taking taylor expansion of 0 in th
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.167 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.167 * [backup-simplify]: Simplify (- 0) into 0
12.167 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.167 * [backup-simplify]: Simplify (* 1 1) into 1
12.167 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.167 * [taylor]: Taking taylor expansion of (cos th) in th
12.167 * [taylor]: Taking taylor expansion of th in th
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify 1 into 1
12.167 * [backup-simplify]: Simplify 1 into 1
12.167 * [backup-simplify]: Simplify 0 into 0
12.168 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.168 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.170 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.170 * [backup-simplify]: Simplify (- 0) into 0
12.170 * [backup-simplify]: Simplify (+ 0 0) into 0
12.171 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
12.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.171 * [backup-simplify]: Simplify (+ 0 0) into 0
12.172 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
12.172 * [taylor]: Taking taylor expansion of 0 in a2
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [taylor]: Taking taylor expansion of 0 in th
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify (+ 0) into 0
12.173 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.173 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.174 * [backup-simplify]: Simplify (- 0) into 0
12.174 * [backup-simplify]: Simplify (+ 0 0) into 0
12.174 * [taylor]: Taking taylor expansion of 0 in th
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [taylor]: Taking taylor expansion of 0 in th
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.175 * [backup-simplify]: Simplify (+ 0) into 0
12.175 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.176 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.176 * [backup-simplify]: Simplify (- 0) into 0
12.176 * [backup-simplify]: Simplify (+ 0 0) into 0
12.176 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.177 * [taylor]: Taking taylor expansion of 0 in th
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify (+ 0) into 0
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* a2 1)) 2)) (* 1 (pow (* 1 (* 1 a1)) 2))) into (+ (pow a2 2) (pow a1 2))
12.177 * [backup-simplify]: Simplify (* (/ (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2)) 1) (cos (/ 1 th))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
12.177 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2 th) around 0
12.177 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
12.177 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.177 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.177 * [taylor]: Taking taylor expansion of th in th
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify 1 into 1
12.178 * [backup-simplify]: Simplify (/ 1 1) into 1
12.178 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
12.178 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
12.178 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.178 * [taylor]: Taking taylor expansion of a2 in th
12.178 * [backup-simplify]: Simplify a2 into a2
12.178 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.178 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.178 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
12.178 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.178 * [taylor]: Taking taylor expansion of a1 in th
12.178 * [backup-simplify]: Simplify a1 into a1
12.178 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.178 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.178 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
12.178 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.178 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.178 * [taylor]: Taking taylor expansion of th in a2
12.178 * [backup-simplify]: Simplify th into th
12.178 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.178 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.178 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
12.178 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
12.178 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.178 * [taylor]: Taking taylor expansion of a2 in a2
12.179 * [backup-simplify]: Simplify 0 into 0
12.179 * [backup-simplify]: Simplify 1 into 1
12.179 * [backup-simplify]: Simplify (* 1 1) into 1
12.179 * [backup-simplify]: Simplify (/ 1 1) into 1
12.179 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
12.179 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.179 * [taylor]: Taking taylor expansion of a1 in a2
12.179 * [backup-simplify]: Simplify a1 into a1
12.179 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.179 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.179 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.179 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.179 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.179 * [taylor]: Taking taylor expansion of th in a1
12.179 * [backup-simplify]: Simplify th into th
12.179 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.179 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.179 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.179 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.179 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.180 * [taylor]: Taking taylor expansion of a2 in a1
12.180 * [backup-simplify]: Simplify a2 into a2
12.180 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.180 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.180 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.180 * [taylor]: Taking taylor expansion of a1 in a1
12.180 * [backup-simplify]: Simplify 0 into 0
12.180 * [backup-simplify]: Simplify 1 into 1
12.180 * [backup-simplify]: Simplify (* 1 1) into 1
12.180 * [backup-simplify]: Simplify (/ 1 1) into 1
12.180 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.180 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.180 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.180 * [taylor]: Taking taylor expansion of th in a1
12.180 * [backup-simplify]: Simplify th into th
12.180 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.180 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.180 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.180 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.181 * [taylor]: Taking taylor expansion of a2 in a1
12.181 * [backup-simplify]: Simplify a2 into a2
12.181 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.181 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.181 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.181 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.181 * [taylor]: Taking taylor expansion of a1 in a1
12.181 * [backup-simplify]: Simplify 0 into 0
12.181 * [backup-simplify]: Simplify 1 into 1
12.181 * [backup-simplify]: Simplify (* 1 1) into 1
12.181 * [backup-simplify]: Simplify (/ 1 1) into 1
12.181 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.181 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.182 * [backup-simplify]: Simplify (- 0) into 0
12.182 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.182 * [backup-simplify]: Simplify (+ 0 1) into 1
12.182 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.182 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.182 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.182 * [taylor]: Taking taylor expansion of th in a2
12.182 * [backup-simplify]: Simplify th into th
12.182 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.182 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.182 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.183 * [backup-simplify]: Simplify (+ 0 0) into 0
12.184 * [backup-simplify]: Simplify (+ 0) into 0
12.184 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.185 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.185 * [backup-simplify]: Simplify (- 0) into 0
12.186 * [backup-simplify]: Simplify (+ 0 0) into 0
12.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.186 * [taylor]: Taking taylor expansion of 0 in a2
12.186 * [backup-simplify]: Simplify 0 into 0
12.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.187 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.188 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.189 * [backup-simplify]: Simplify (- 0) into 0
12.189 * [backup-simplify]: Simplify (+ 0 0) into 0
12.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
12.190 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
12.190 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.190 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.190 * [taylor]: Taking taylor expansion of th in a2
12.190 * [backup-simplify]: Simplify th into th
12.190 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.190 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.190 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.190 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.190 * [taylor]: Taking taylor expansion of a2 in a2
12.190 * [backup-simplify]: Simplify 0 into 0
12.190 * [backup-simplify]: Simplify 1 into 1
12.190 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.190 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.191 * [backup-simplify]: Simplify (- 0) into 0
12.191 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.191 * [backup-simplify]: Simplify (* 1 1) into 1
12.191 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.191 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.191 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.191 * [taylor]: Taking taylor expansion of th in th
12.191 * [backup-simplify]: Simplify 0 into 0
12.191 * [backup-simplify]: Simplify 1 into 1
12.191 * [backup-simplify]: Simplify (/ 1 1) into 1
12.192 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.192 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.192 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.192 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.192 * [backup-simplify]: Simplify (- 0) into 0
12.192 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.193 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.193 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.193 * [taylor]: Taking taylor expansion of th in th
12.193 * [backup-simplify]: Simplify 0 into 0
12.193 * [backup-simplify]: Simplify 1 into 1
12.193 * [backup-simplify]: Simplify (/ 1 1) into 1
12.193 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.193 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.193 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.196 * [backup-simplify]: Simplify (+ 0 0) into 0
12.197 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.201 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.201 * [backup-simplify]: Simplify (- 0) into 0
12.201 * [backup-simplify]: Simplify (+ 0 0) into 0
12.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.202 * [taylor]: Taking taylor expansion of 0 in a2
12.202 * [backup-simplify]: Simplify 0 into 0
12.203 * [backup-simplify]: Simplify (+ 0) into 0
12.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.205 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.205 * [backup-simplify]: Simplify (- 0) into 0
12.206 * [backup-simplify]: Simplify (+ 0 0) into 0
12.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
12.207 * [taylor]: Taking taylor expansion of 0 in th
12.207 * [backup-simplify]: Simplify 0 into 0
12.207 * [backup-simplify]: Simplify 0 into 0
12.207 * [taylor]: Taking taylor expansion of 0 in th
12.207 * [backup-simplify]: Simplify 0 into 0
12.207 * [backup-simplify]: Simplify 0 into 0
12.208 * [backup-simplify]: Simplify (+ 0) into 0
12.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.210 * [backup-simplify]: Simplify (- 0) into 0
12.211 * [backup-simplify]: Simplify (+ 0 0) into 0
12.211 * [taylor]: Taking taylor expansion of 0 in th
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
12.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.214 * [backup-simplify]: Simplify (+ 0 0) into 0
12.217 * [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
12.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.220 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.221 * [backup-simplify]: Simplify (- 0) into 0
12.221 * [backup-simplify]: Simplify (+ 0 0) into 0
12.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
12.223 * [taylor]: Taking taylor expansion of 0 in a2
12.223 * [backup-simplify]: Simplify 0 into 0
12.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.227 * [backup-simplify]: Simplify (- 0) into 0
12.227 * [backup-simplify]: Simplify (+ 0 0) into 0
12.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.229 * [taylor]: Taking taylor expansion of 0 in th
12.229 * [backup-simplify]: Simplify 0 into 0
12.229 * [backup-simplify]: Simplify 0 into 0
12.230 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (/ 1 th))) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (cos (/ 1 (/ 1 th))) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
12.231 * [backup-simplify]: Simplify (* (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2)) 1) (cos (/ 1 (- th)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
12.231 * [approximate]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2 th) around 0
12.231 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
12.231 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.231 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.231 * [taylor]: Taking taylor expansion of -1 in th
12.231 * [backup-simplify]: Simplify -1 into -1
12.231 * [taylor]: Taking taylor expansion of th in th
12.231 * [backup-simplify]: Simplify 0 into 0
12.231 * [backup-simplify]: Simplify 1 into 1
12.231 * [backup-simplify]: Simplify (/ -1 1) into -1
12.231 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
12.232 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
12.232 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.232 * [taylor]: Taking taylor expansion of a2 in th
12.232 * [backup-simplify]: Simplify a2 into a2
12.232 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.232 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.232 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
12.232 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.232 * [taylor]: Taking taylor expansion of a1 in th
12.232 * [backup-simplify]: Simplify a1 into a1
12.232 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.232 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.232 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
12.232 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.232 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.232 * [taylor]: Taking taylor expansion of -1 in a2
12.232 * [backup-simplify]: Simplify -1 into -1
12.232 * [taylor]: Taking taylor expansion of th in a2
12.232 * [backup-simplify]: Simplify th into th
12.232 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.233 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.233 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
12.233 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
12.233 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.233 * [taylor]: Taking taylor expansion of a2 in a2
12.233 * [backup-simplify]: Simplify 0 into 0
12.233 * [backup-simplify]: Simplify 1 into 1
12.233 * [backup-simplify]: Simplify (* 1 1) into 1
12.234 * [backup-simplify]: Simplify (/ 1 1) into 1
12.234 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
12.234 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.234 * [taylor]: Taking taylor expansion of a1 in a2
12.234 * [backup-simplify]: Simplify a1 into a1
12.234 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.234 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.234 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.234 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.234 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.234 * [taylor]: Taking taylor expansion of -1 in a1
12.234 * [backup-simplify]: Simplify -1 into -1
12.234 * [taylor]: Taking taylor expansion of th in a1
12.234 * [backup-simplify]: Simplify th into th
12.234 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.234 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.234 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.234 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.234 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.234 * [taylor]: Taking taylor expansion of a2 in a1
12.234 * [backup-simplify]: Simplify a2 into a2
12.235 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.235 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.235 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.235 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.235 * [taylor]: Taking taylor expansion of a1 in a1
12.235 * [backup-simplify]: Simplify 0 into 0
12.235 * [backup-simplify]: Simplify 1 into 1
12.235 * [backup-simplify]: Simplify (* 1 1) into 1
12.236 * [backup-simplify]: Simplify (/ 1 1) into 1
12.236 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.236 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.236 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.236 * [taylor]: Taking taylor expansion of -1 in a1
12.236 * [backup-simplify]: Simplify -1 into -1
12.236 * [taylor]: Taking taylor expansion of th in a1
12.236 * [backup-simplify]: Simplify th into th
12.236 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.236 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.236 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.236 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.236 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.236 * [taylor]: Taking taylor expansion of a2 in a1
12.236 * [backup-simplify]: Simplify a2 into a2
12.236 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.236 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.236 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.236 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.237 * [taylor]: Taking taylor expansion of a1 in a1
12.237 * [backup-simplify]: Simplify 0 into 0
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [backup-simplify]: Simplify (* 1 1) into 1
12.237 * [backup-simplify]: Simplify (/ 1 1) into 1
12.238 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.238 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.238 * [backup-simplify]: Simplify (- 0) into 0
12.238 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.239 * [backup-simplify]: Simplify (+ 0 1) into 1
12.239 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.239 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.239 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.239 * [taylor]: Taking taylor expansion of -1 in a2
12.239 * [backup-simplify]: Simplify -1 into -1
12.239 * [taylor]: Taking taylor expansion of th in a2
12.239 * [backup-simplify]: Simplify th into th
12.239 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.239 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.239 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.241 * [backup-simplify]: Simplify (+ 0 0) into 0
12.241 * [backup-simplify]: Simplify (+ 0) into 0
12.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.242 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.243 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.244 * [backup-simplify]: Simplify (- 0) into 0
12.244 * [backup-simplify]: Simplify (+ 0 0) into 0
12.245 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.245 * [taylor]: Taking taylor expansion of 0 in a2
12.245 * [backup-simplify]: Simplify 0 into 0
12.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.247 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.249 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.251 * [backup-simplify]: Simplify (- 0) into 0
12.251 * [backup-simplify]: Simplify (+ 0 0) into 0
12.252 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
12.252 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
12.252 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.252 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.252 * [taylor]: Taking taylor expansion of -1 in a2
12.252 * [backup-simplify]: Simplify -1 into -1
12.252 * [taylor]: Taking taylor expansion of th in a2
12.252 * [backup-simplify]: Simplify th into th
12.252 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.252 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.252 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.252 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.252 * [taylor]: Taking taylor expansion of a2 in a2
12.252 * [backup-simplify]: Simplify 0 into 0
12.252 * [backup-simplify]: Simplify 1 into 1
12.252 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.253 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.253 * [backup-simplify]: Simplify (- 0) into 0
12.253 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.253 * [backup-simplify]: Simplify (* 1 1) into 1
12.254 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.254 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.254 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.254 * [taylor]: Taking taylor expansion of -1 in th
12.254 * [backup-simplify]: Simplify -1 into -1
12.254 * [taylor]: Taking taylor expansion of th in th
12.254 * [backup-simplify]: Simplify 0 into 0
12.254 * [backup-simplify]: Simplify 1 into 1
12.254 * [backup-simplify]: Simplify (/ -1 1) into -1
12.254 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.254 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.255 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.255 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.255 * [backup-simplify]: Simplify (- 0) into 0
12.255 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.255 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.255 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.255 * [taylor]: Taking taylor expansion of -1 in th
12.255 * [backup-simplify]: Simplify -1 into -1
12.255 * [taylor]: Taking taylor expansion of th in th
12.255 * [backup-simplify]: Simplify 0 into 0
12.255 * [backup-simplify]: Simplify 1 into 1
12.256 * [backup-simplify]: Simplify (/ -1 1) into -1
12.256 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.256 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.256 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.265 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.267 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.267 * [backup-simplify]: Simplify (- 0) into 0
12.267 * [backup-simplify]: Simplify (+ 0 0) into 0
12.268 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.268 * [taylor]: Taking taylor expansion of 0 in a2
12.268 * [backup-simplify]: Simplify 0 into 0
12.268 * [backup-simplify]: Simplify (+ 0) into 0
12.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.269 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.270 * [backup-simplify]: Simplify (- 0) into 0
12.270 * [backup-simplify]: Simplify (+ 0 0) into 0
12.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
12.271 * [taylor]: Taking taylor expansion of 0 in th
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [taylor]: Taking taylor expansion of 0 in th
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify (+ 0) into 0
12.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.272 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.273 * [backup-simplify]: Simplify (- 0) into 0
12.273 * [backup-simplify]: Simplify (+ 0 0) into 0
12.273 * [taylor]: Taking taylor expansion of 0 in th
12.273 * [backup-simplify]: Simplify 0 into 0
12.273 * [backup-simplify]: Simplify 0 into 0
12.273 * [backup-simplify]: Simplify 0 into 0
12.273 * [backup-simplify]: Simplify 0 into 0
12.274 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.275 * [backup-simplify]: Simplify (+ 0 0) into 0
12.277 * [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
12.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.277 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.279 * [backup-simplify]: Simplify (- 0) into 0
12.279 * [backup-simplify]: Simplify (+ 0 0) into 0
12.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
12.280 * [taylor]: Taking taylor expansion of 0 in a2
12.280 * [backup-simplify]: Simplify 0 into 0
12.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.281 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.281 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.282 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.282 * [backup-simplify]: Simplify (- 0) into 0
12.282 * [backup-simplify]: Simplify (+ 0 0) into 0
12.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.284 * [taylor]: Taking taylor expansion of 0 in th
12.284 * [backup-simplify]: Simplify 0 into 0
12.284 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1 (/ 1 (- th)))) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (cos (/ -1 (/ 1 (- th)))) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
12.285 * * * [progress]: simplifying candidates
12.303 * [simplify]: Simplifying:
  (- (log (sqrt 1)) (- (log (sqrt 2.0))))
  (- (log (sqrt 1)) (- 0 (log (sqrt 2.0))))
  (- (log (sqrt 1)) (- (log 1) (log (sqrt 2.0))))
  (- (log (sqrt 1)) (log (/ 1 (sqrt 2.0))))
  (log (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (exp (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (* (* 1 1) 1) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))))
  (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (/ 1 (sqrt 2.0)) (/ 1 (sqrt 2.0))) (/ 1 (sqrt 2.0))))
  (* (cbrt (/ (sqrt 1) (/ 1 (sqrt 2.0)))) (cbrt (/ (sqrt 1) (/ 1 (sqrt 2.0)))))
  (cbrt (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (* (* (/ (sqrt 1) (/ 1 (sqrt 2.0))) (/ (sqrt 1) (/ 1 (sqrt 2.0)))) (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (sqrt (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (sqrt (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (- (sqrt 1))
  (- (/ 1 (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt (/ 1 (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (sqrt 1)) (/ (cbrt 1) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (sqrt 1)) (/ (cbrt 1) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (cbrt (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (cbrt (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (sqrt 1)) (/ (sqrt 1) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (sqrt 1)) (/ (sqrt 1) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt 1) (sqrt 1)))
  (/ (cbrt (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ (sqrt 1) 1))
  (/ (cbrt (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (sqrt 1)) (/ 1 (cbrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt (cbrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt 1)))
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 (sqrt (sqrt 2.0))))
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (/ 1 1))
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) 1)
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) 1)
  (/ (cbrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (sqrt (cbrt 1)) (cbrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cbrt 1)) (/ (cbrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cbrt 1)) (/ (cbrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (sqrt (cbrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (sqrt (cbrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cbrt 1)) (/ (sqrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cbrt 1)) (/ (sqrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (sqrt 1) (sqrt 1)))
  (/ (sqrt (cbrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ (sqrt 1) 1))
  (/ (sqrt (cbrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cbrt 1)) (/ 1 (cbrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt (cbrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt 1)))
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 1))
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) 1)
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (* (cbrt 1) (cbrt 1))) 1)
  (/ (sqrt (cbrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (cbrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 1)))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) 1))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ 1 (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (cbrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 1)))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 1))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) 1)
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) 1)
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (sqrt 1) (cbrt (/ 1 (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ (cbrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ (sqrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt 1)))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) 1))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt 1) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ 1 (cbrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ 1 (sqrt (cbrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt 1)))
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (cbrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (sqrt (sqrt 1)) (/ (cbrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (cbrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 1)))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) 1))
  (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ 1 (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (cbrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 1)))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 1)) (/ 1 1))
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) 1)
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ (sqrt (sqrt 1)) 1)
  (/ (sqrt (sqrt 1)) (/ 1 (sqrt 2.0)))
  (/ 1 (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (sqrt 1) (cbrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt 1) (sqrt (/ 1 (sqrt 2.0))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ (cbrt 1) (cbrt (sqrt 2.0))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt (cbrt 2.0))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt 2.0)))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt (sqrt 2.0))))
  (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (sqrt 1) (/ (cbrt 1) (sqrt 2.0)))
  (/ 1 (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ (sqrt 1) (cbrt (sqrt 2.0))))
  (/ 1 (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (cbrt 2.0))))
  (/ 1 (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ 1 (/ (sqrt 1) (sqrt 1)))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt 2.0)))
  (/ 1 (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt 2.0)))
  (/ 1 (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ 1 (cbrt (sqrt 2.0))))
  (/ 1 (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ 1 (sqrt (cbrt 2.0))))
  (/ 1 (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0))))
  (/ 1 (/ 1 (sqrt 1)))
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ 1 (/ 1 (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0))))
  (/ 1 (/ 1 1))
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ 1 1)
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ 1 1)
  (/ (sqrt 1) (/ 1 (sqrt 2.0)))
  (/ 1 (/ 1 (sqrt 2.0)))
  (/ (/ 1 (sqrt 2.0)) (sqrt 1))
  (/ (sqrt 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (sqrt 1) (sqrt (/ 1 (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt 1)))
  (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (/ (sqrt 1) (/ (sqrt 1) 1))
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  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (* (cbrt 1) (cbrt 1))) (/ 1 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (* (cbrt 1) (cbrt 1))) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (* (cbrt 1) (cbrt 1))) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (sqrt (/ 1 (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (* (cbrt 1) (cbrt 1)) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (sqrt 1) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ (sqrt 1) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (sqrt (/ 1 (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ (sqrt 1) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) (/ 1 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt (sqrt 1)) 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (sqrt (/ 1 (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (sqrt 1) (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (sqrt 1) (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ (sqrt 1) 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ 1 (sqrt 1))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ 1 (sqrt (sqrt 2.0)))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 (/ 1 1)))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ 1 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) 1)
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (sqrt 1))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) 1))
  (/ (/ (sqrt 1) (/ 1 (sqrt 2.0))) (cos th))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (sqrt 1))
  (* (/ (sqrt 1) (/ 1 (sqrt 2.0))) 1)
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))
  (+ (- (log (+ (* a1 a1) (pow a2 2))) 0) (log (cos th)))
  (+ (- (log (+ (* a1 a1) (pow a2 2))) (log 1)) (log (cos th)))
  (+ (log (/ (+ (* a1 a1) (pow a2 2)) 1)) (log (cos th)))
  (log (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)))
  (exp (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)))
  (* (/ (* (* (+ (* a1 a1) (pow a2 2)) (+ (* a1 a1) (pow a2 2))) (+ (* a1 a1) (pow a2 2))) (* (* 1 1) 1)) (* (* (cos th) (cos th)) (cos th)))
  (* (* (* (/ (+ (* a1 a1) (pow a2 2)) 1) (/ (+ (* a1 a1) (pow a2 2)) 1)) (/ (+ (* a1 a1) (pow a2 2)) 1)) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))) (cbrt (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))))
  (cbrt (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)))
  (* (* (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))) (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)))
  (sqrt (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)))
  (sqrt (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)))
  (* (sqrt (/ (+ (* a1 a1) (pow a2 2)) 1)) (sqrt (cos th)))
  (* (sqrt (/ (+ (* a1 a1) (pow a2 2)) 1)) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 1)) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 1)) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (sqrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (sqrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) 1)
  (* (cbrt (/ (+ (* a1 a1) (pow a2 2)) 1)) (cos th))
  (* (sqrt (/ (+ (* a1 a1) (pow a2 2)) 1)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt 1)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt 1)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) 1) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt 1)) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 1)) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1) (cos th))
  (* (/ (+ (* a1 a1) (pow a2 2)) (cbrt 1)) (cos th))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 1)) (cos th))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))
  (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th))
  (* (/ 1 1) (cos th))
  (* (+ (* a1 a1) (pow a2 2)) (cos th))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0))))
  (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (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 a1 2) (cos th)) (* (cos th) (pow a2 2)))
  (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))
12.315 * * [simplify]: iteration 0: 600 enodes
13.286 * * [simplify]: iteration 1: 2052 enodes
13.701 * * [simplify]: iteration complete: 5002 enodes
13.702 * * [simplify]: Extracting #0: cost 99 inf + 0
13.707 * * [simplify]: Extracting #1: cost 1740 inf + 9
13.718 * * [simplify]: Extracting #2: cost 1992 inf + 1175
13.732 * * [simplify]: Extracting #3: cost 1389 inf + 3625
13.745 * * [simplify]: Extracting #4: cost 1012 inf + 6969
13.758 * * [simplify]: Extracting #5: cost 272 inf + 16906
13.782 * * [simplify]: Extracting #6: cost 0 inf + 21044
13.800 * [simplify]: Simplified to:
  (log (sqrt 2.0))
  (log (sqrt 2.0))
  (log (sqrt 2.0))
  (log (sqrt 2.0))
  (log (sqrt 2.0))
  (exp (sqrt 2.0))
  (* 1 (* 2.0 (sqrt 2.0)))
  (/ 1 (pow (/ 1 (sqrt 2.0)) 3))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (cbrt (sqrt 2.0))
  (* 2.0 (sqrt 2.0))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  -1
  (/ -1 (sqrt 2.0))
  (/ 1 (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ 1 (cbrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  1
  (sqrt 2.0)
  1
  (sqrt 2.0)
  (/ 1 (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ 1 (cbrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  1
  (sqrt 2.0)
  1
  (sqrt 2.0)
  (/ 1 (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ 1 (cbrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  (/ 1 1)
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  1
  (sqrt 2.0)
  1
  (sqrt 2.0)
  (/ 1 (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ 1 (cbrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (/ 1 (sqrt (/ 1 (sqrt 2.0))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
  (fabs (cbrt 2.0))
  (* 1 (sqrt (cbrt 2.0)))
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (sqrt (sqrt 2.0))
  (sqrt (sqrt 2.0))
  1
  (sqrt 2.0)
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (* 1 (cbrt (sqrt 2.0)))
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  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2.0)))
  (/ (cos th) (* 1 (sqrt (cbrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (* (/ (cos th) 1) (cbrt (/ 1 (sqrt 2.0))))
  (* (/ (+ (* a2 a2) (* a1 a1)) 1) (sqrt (/ 1 (sqrt 2.0))))
  (* (/ (cos th) 1) (sqrt (/ 1 (sqrt 2.0))))
  (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (* 1 (cbrt (sqrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2.0)))
  (/ (cos th) (* 1 (sqrt (cbrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ 1 1))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (* 1 (cbrt (sqrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2.0)))
  (/ (cos th) (* 1 (sqrt (cbrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (* 1 (cbrt (sqrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (fabs (cbrt 2.0)))
  (/ (cos th) (* 1 (sqrt (cbrt 2.0))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (+ (* a2 a2) (* a1 a1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (/ (sqrt 2.0) (+ (* a2 a2) (* a1 a1))) (cos th))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 (sqrt (/ 1 (sqrt 2.0)))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 (sqrt (/ 1 (sqrt 2.0)))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 (sqrt (/ 1 (sqrt 2.0)))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 1) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 (sqrt (/ 1 (sqrt 2.0)))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 (sqrt (/ 1 (sqrt 2.0)))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 1) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) 1) (* (cbrt (/ 1 (sqrt 2.0))) (cbrt (/ 1 (sqrt 2.0)))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 (sqrt (/ 1 (sqrt 2.0)))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (/ 1 1) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (fabs (cbrt 2.0)) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt 2.0) (cos th))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (sqrt 2.0)
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (log (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (log (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (log (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (log (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (pow (exp (+ (* a2 a2) (* a1 a1))) (cos th))
  (/ (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (cos th) 3)) 1)
  (* (pow (+ (* a2 a2) (* a1 a1)) 3) (pow (cos th) 3))
  (* (cbrt (* (cos th) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (cos th) (+ (* a2 a2) (* a1 a1)))))
  (cbrt (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (pow (* (cos th) (+ (* a2 a2) (* a1 a1))) 3)
  (sqrt (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (sqrt (* (cos th) (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (sqrt (cos th)) (+ (* a2 a2) (* a1 a1)))
  (+ (* a2 a2) (* a1 a1))
  (* (cos th) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (cos th) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (cos th) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (cos th) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (* 1 (cos th))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* (* a2 a2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (* a1 a1)) (sqrt 2.0)))
  (+ (/ (* (* a2 a2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (* a1 a1)) (sqrt 2.0)))
  (+ (* a2 a2) (* a1 a1))
  (+ (* (cos th) (* a1 a1)) (* (* a2 a2) (cos th)))
  (+ (* (cos th) (* a1 a1)) (* (* a2 a2) (cos th)))
13.810 * * * [progress]: adding candidates to table
15.526 * [progress]: [Phase 3 of 3] Extracting.
15.526 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
15.528 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1)
15.529 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
15.638 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
15.713 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
15.806 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
15.893 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
15.968 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
16.052 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt (sqrt 2.0)) (* (/ 1 (cos th)) (sqrt (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))))> #<alt (λ (a1 a2 th) (/ (* (/ (+ (* a1 a1) (pow a2 2)) 1) (cos th)) (/ (sqrt 1) (/ 1 (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (pow a2 2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))) (/ (sqrt 1) (/ (cbrt (cos th)) (sqrt 2.0)))))>)
16.120 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
16.120 * [simplify]: Simplifying:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (/ (cos th) (sqrt 2.0))))
16.120 * * [simplify]: iteration 0: 14 enodes
16.122 * * [simplify]: iteration 1: 17 enodes
16.122 * * [simplify]: iteration complete: 17 enodes
16.122 * * [simplify]: Extracting #0: cost 1 inf + 0
16.122 * * [simplify]: Extracting #1: cost 3 inf + 0
16.123 * * [simplify]: Extracting #2: cost 7 inf + 0
16.123 * * [simplify]: Extracting #3: cost 10 inf + 1
16.123 * * [simplify]: Extracting #4: cost 9 inf + 6
16.123 * * [simplify]: Extracting #5: cost 6 inf + 11
16.123 * * [simplify]: Extracting #6: cost 2 inf + 27
16.123 * * [simplify]: Extracting #7: cost 0 inf + 49
16.123 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (cos th) (sqrt 2.0))))
23.489 * [regime-testing]: Baseline error score: 0.4758420021488881
23.507 * [regime-testing]: Oracle error score: 0.05650706338292286
23.537 * [regime-testing]: End program error score: 0.4758420021488881