50.918 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.170 * * * [progress]: [2/2] Setting up program.
0.178 * [progress]: [Phase 2 of 3] Improving.
0.179 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.179 * * [simplify]: iteration 0: 12 enodes
0.183 * * [simplify]: iteration 1: 25 enodes
0.191 * * [simplify]: iteration 2: 49 enodes
0.202 * * [simplify]: iteration 3: 76 enodes
0.210 * * [simplify]: iteration 4: 95 enodes
0.223 * * [simplify]: iteration 5: 111 enodes
0.280 * * [simplify]: iteration 6: 126 enodes
0.296 * * [simplify]: iteration 7: 142 enodes
0.313 * * [simplify]: iteration complete: 142 enodes
0.314 * * [simplify]: Extracting #0: cost 1 inf + 0
0.314 * * [simplify]: Extracting #1: cost 12 inf + 0
0.314 * * [simplify]: Extracting #2: cost 34 inf + 0
0.314 * * [simplify]: Extracting #3: cost 25 inf + 432
0.315 * * [simplify]: Extracting #4: cost 4 inf + 3460
0.317 * * [simplify]: Extracting #5: cost 0 inf + 4252
0.319 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
0.327 * * [progress]: iteration 1 / 4
0.327 * * * [progress]: picking best candidate
0.336 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))>
0.336 * * * [progress]: localizing error
0.358 * * * [progress]: generating rewritten candidates
0.358 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.383 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.394 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.420 * * * [progress]: generating series expansions
0.420 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.421 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
0.421 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
0.421 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
0.421 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
0.421 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
0.421 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.421 * [taylor]: Taking taylor expansion of a2 in th
0.421 * [backup-simplify]: Simplify a2 into a2
0.421 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.421 * [taylor]: Taking taylor expansion of a1 in th
0.421 * [backup-simplify]: Simplify a1 into a1
0.421 * [taylor]: Taking taylor expansion of (cos th) in th
0.421 * [taylor]: Taking taylor expansion of th in th
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.421 * [taylor]: Taking taylor expansion of 2.0 in th
0.422 * [backup-simplify]: Simplify 2.0 into 2.0
0.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.423 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.423 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.423 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
0.424 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
0.424 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
0.424 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
0.424 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
0.424 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.424 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.424 * [taylor]: Taking taylor expansion of a2 in a2
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.425 * [taylor]: Taking taylor expansion of a1 in a2
0.425 * [backup-simplify]: Simplify a1 into a1
0.425 * [taylor]: Taking taylor expansion of (cos th) in a2
0.425 * [taylor]: Taking taylor expansion of th in a2
0.425 * [backup-simplify]: Simplify th into th
0.425 * [backup-simplify]: Simplify (cos th) into (cos th)
0.425 * [backup-simplify]: Simplify (sin th) into (sin th)
0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.425 * [taylor]: Taking taylor expansion of 2.0 in a2
0.425 * [backup-simplify]: Simplify 2.0 into 2.0
0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.426 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.426 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
0.427 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.427 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.427 * [backup-simplify]: Simplify (- 0) into 0
0.428 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.428 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
0.428 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.428 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.428 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.429 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.429 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.429 * [taylor]: Taking taylor expansion of a2 in a1
0.429 * [backup-simplify]: Simplify a2 into a2
0.429 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.429 * [taylor]: Taking taylor expansion of a1 in a1
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of (cos th) in a1
0.429 * [taylor]: Taking taylor expansion of th in a1
0.429 * [backup-simplify]: Simplify th into th
0.429 * [backup-simplify]: Simplify (cos th) into (cos th)
0.429 * [backup-simplify]: Simplify (sin th) into (sin th)
0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.429 * [taylor]: Taking taylor expansion of 2.0 in a1
0.429 * [backup-simplify]: Simplify 2.0 into 2.0
0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.430 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.431 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.431 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.431 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.431 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.432 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.432 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.432 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.432 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.432 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.432 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.432 * [taylor]: Taking taylor expansion of a2 in a1
0.433 * [backup-simplify]: Simplify a2 into a2
0.433 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.433 * [taylor]: Taking taylor expansion of a1 in a1
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [taylor]: Taking taylor expansion of (cos th) in a1
0.433 * [taylor]: Taking taylor expansion of th in a1
0.433 * [backup-simplify]: Simplify th into th
0.433 * [backup-simplify]: Simplify (cos th) into (cos th)
0.433 * [backup-simplify]: Simplify (sin th) into (sin th)
0.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.433 * [taylor]: Taking taylor expansion of 2.0 in a1
0.433 * [backup-simplify]: Simplify 2.0 into 2.0
0.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.434 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.434 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.434 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.434 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.434 * [backup-simplify]: Simplify (- 0) into 0
0.434 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.434 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.435 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.435 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.435 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.435 * [taylor]: Taking taylor expansion of (cos th) in a2
0.435 * [taylor]: Taking taylor expansion of th in a2
0.435 * [backup-simplify]: Simplify th into th
0.435 * [backup-simplify]: Simplify (cos th) into (cos th)
0.435 * [backup-simplify]: Simplify (sin th) into (sin th)
0.435 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.435 * [taylor]: Taking taylor expansion of a2 in a2
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.435 * [taylor]: Taking taylor expansion of 2.0 in a2
0.435 * [backup-simplify]: Simplify 2.0 into 2.0
0.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.436 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.436 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.436 * [backup-simplify]: Simplify (- 0) into 0
0.436 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.437 * [backup-simplify]: Simplify (* 1 1) into 1
0.437 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.437 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.438 * [backup-simplify]: Simplify (+ 0) into 0
0.438 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.439 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.440 * [backup-simplify]: Simplify (- 0) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.442 * [taylor]: Taking taylor expansion of 0 in a2
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [taylor]: Taking taylor expansion of 0 in th
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.443 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.444 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (+ 0 1) into 1
0.451 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
0.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.453 * [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))
0.453 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
0.453 * [taylor]: Taking taylor expansion of (cos th) in a2
0.453 * [taylor]: Taking taylor expansion of th in a2
0.453 * [backup-simplify]: Simplify th into th
0.453 * [backup-simplify]: Simplify (cos th) into (cos th)
0.453 * [backup-simplify]: Simplify (sin th) into (sin th)
0.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.453 * [taylor]: Taking taylor expansion of 2.0 in a2
0.453 * [backup-simplify]: Simplify 2.0 into 2.0
0.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.455 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.455 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.455 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.456 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.456 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.456 * [taylor]: Taking taylor expansion of (cos th) in th
0.456 * [taylor]: Taking taylor expansion of th in th
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.456 * [taylor]: Taking taylor expansion of 2.0 in th
0.456 * [backup-simplify]: Simplify 2.0 into 2.0
0.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.458 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.459 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.459 * [taylor]: Taking taylor expansion of 0 in th
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.459 * [taylor]: Taking taylor expansion of (cos th) in th
0.459 * [taylor]: Taking taylor expansion of th in th
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.459 * [taylor]: Taking taylor expansion of 2.0 in th
0.460 * [backup-simplify]: Simplify 2.0 into 2.0
0.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.461 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.462 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.464 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.467 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.467 * [backup-simplify]: Simplify (- 0) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
0.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.475 * [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
0.475 * [taylor]: Taking taylor expansion of 0 in a2
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [taylor]: Taking taylor expansion of 0 in th
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ 0) into 0
0.476 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.477 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.477 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.479 * [taylor]: Taking taylor expansion of 0 in th
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [taylor]: Taking taylor expansion of 0 in th
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.480 * [backup-simplify]: Simplify (+ 0) into 0
0.481 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.482 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.482 * [backup-simplify]: Simplify (- 0) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.485 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.485 * [taylor]: Taking taylor expansion of 0 in th
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify (+ 0) into 0
0.486 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.489 * [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)))
0.490 * [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))
0.490 * [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
0.490 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.490 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.490 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.490 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.490 * [taylor]: Taking taylor expansion of th in th
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.491 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.491 * [taylor]: Taking taylor expansion of a2 in th
0.491 * [backup-simplify]: Simplify a2 into a2
0.491 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.491 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.491 * [taylor]: Taking taylor expansion of a1 in th
0.491 * [backup-simplify]: Simplify a1 into a1
0.491 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.491 * [taylor]: Taking taylor expansion of 2.0 in th
0.491 * [backup-simplify]: Simplify 2.0 into 2.0
0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.493 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.493 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
0.494 * [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))
0.494 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.494 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.494 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.494 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.494 * [taylor]: Taking taylor expansion of th in a2
0.494 * [backup-simplify]: Simplify th into th
0.494 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.494 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.494 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.495 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.495 * [taylor]: Taking taylor expansion of a2 in a2
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (* 1 1) into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.495 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.496 * [taylor]: Taking taylor expansion of a1 in a2
0.496 * [backup-simplify]: Simplify a1 into a1
0.496 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.496 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.496 * [taylor]: Taking taylor expansion of 2.0 in a2
0.496 * [backup-simplify]: Simplify 2.0 into 2.0
0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.497 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.497 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.498 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.498 * [backup-simplify]: Simplify (+ 1 0) into 1
0.498 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.499 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.499 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.499 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.499 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.499 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.499 * [taylor]: Taking taylor expansion of th in a1
0.499 * [backup-simplify]: Simplify th into th
0.499 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.499 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.499 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.499 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.499 * [taylor]: Taking taylor expansion of a2 in a1
0.499 * [backup-simplify]: Simplify a2 into a2
0.500 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.500 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.500 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.500 * [taylor]: Taking taylor expansion of a1 in a1
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.501 * [taylor]: Taking taylor expansion of 2.0 in a1
0.501 * [backup-simplify]: Simplify 2.0 into 2.0
0.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.502 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.502 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.502 * [backup-simplify]: Simplify (- 0) into 0
0.503 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.503 * [backup-simplify]: Simplify (+ 0 1) into 1
0.503 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.504 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.504 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.504 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.504 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.504 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.504 * [taylor]: Taking taylor expansion of th in a1
0.504 * [backup-simplify]: Simplify th into th
0.504 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.504 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.504 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.504 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.504 * [taylor]: Taking taylor expansion of a2 in a1
0.504 * [backup-simplify]: Simplify a2 into a2
0.505 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.505 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.505 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.505 * [taylor]: Taking taylor expansion of a1 in a1
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (* 1 1) into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.506 * [taylor]: Taking taylor expansion of 2.0 in a1
0.506 * [backup-simplify]: Simplify 2.0 into 2.0
0.506 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.507 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.507 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.508 * [backup-simplify]: Simplify (- 0) into 0
0.508 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.508 * [backup-simplify]: Simplify (+ 0 1) into 1
0.508 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.509 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.509 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
0.509 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.509 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.509 * [taylor]: Taking taylor expansion of th in a2
0.509 * [backup-simplify]: Simplify th into th
0.509 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.509 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.509 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.509 * [taylor]: Taking taylor expansion of 2.0 in a2
0.509 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.511 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.512 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (+ 0) into 0
0.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.519 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.519 * [taylor]: Taking taylor expansion of 0 in a2
0.519 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.524 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.525 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
0.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.530 * [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)))
0.530 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.530 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.530 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.530 * [taylor]: Taking taylor expansion of th in a2
0.530 * [backup-simplify]: Simplify th into th
0.530 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.530 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.530 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.530 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
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
0.531 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.532 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.532 * [taylor]: Taking taylor expansion of a2 in a2
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.532 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.534 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.534 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.534 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.534 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.534 * [taylor]: Taking taylor expansion of th in th
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.535 * [taylor]: Taking taylor expansion of 2.0 in th
0.535 * [backup-simplify]: Simplify 2.0 into 2.0
0.535 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.537 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.537 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.537 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.537 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.537 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.537 * [taylor]: Taking taylor expansion of th in th
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.538 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.538 * [taylor]: Taking taylor expansion of 2.0 in th
0.538 * [backup-simplify]: Simplify 2.0 into 2.0
0.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.539 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.540 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.540 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.554 * [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
0.554 * [taylor]: Taking taylor expansion of 0 in a2
0.554 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify (+ 0) into 0
0.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.557 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.561 * [taylor]: Taking taylor expansion of 0 in th
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [taylor]: Taking taylor expansion of 0 in th
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify (+ 0) into 0
0.562 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.565 * [backup-simplify]: Simplify (- 0) into 0
0.565 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.567 * [taylor]: Taking taylor expansion of 0 in th
0.567 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.568 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [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
0.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.579 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.579 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.580 * [backup-simplify]: Simplify (- 0) into 0
0.580 * [backup-simplify]: Simplify (+ 0 0) into 0
0.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.587 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.587 * [taylor]: Taking taylor expansion of 0 in a2
0.587 * [backup-simplify]: Simplify 0 into 0
0.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.591 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.591 * [backup-simplify]: Simplify (- 0) into 0
0.591 * [backup-simplify]: Simplify (+ 0 0) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.594 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.595 * [taylor]: Taking taylor expansion of 0 in th
0.595 * [backup-simplify]: Simplify 0 into 0
0.595 * [backup-simplify]: Simplify 0 into 0
0.596 * [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)))
0.598 * [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))
0.598 * [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
0.598 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.598 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.598 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.598 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.598 * [taylor]: Taking taylor expansion of -1 in th
0.598 * [backup-simplify]: Simplify -1 into -1
0.598 * [taylor]: Taking taylor expansion of th in th
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (/ -1 1) into -1
0.599 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.599 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.599 * [taylor]: Taking taylor expansion of a2 in th
0.599 * [backup-simplify]: Simplify a2 into a2
0.599 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.599 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.599 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.599 * [taylor]: Taking taylor expansion of a1 in th
0.599 * [backup-simplify]: Simplify a1 into a1
0.599 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.599 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.599 * [taylor]: Taking taylor expansion of 2.0 in th
0.599 * [backup-simplify]: Simplify 2.0 into 2.0
0.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.600 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.601 * [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))))
0.601 * [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))
0.601 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.601 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.601 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.601 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.601 * [taylor]: Taking taylor expansion of -1 in a2
0.601 * [backup-simplify]: Simplify -1 into -1
0.601 * [taylor]: Taking taylor expansion of th in a2
0.601 * [backup-simplify]: Simplify th into th
0.601 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.601 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.601 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.601 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.601 * [taylor]: Taking taylor expansion of a2 in a2
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 1 into 1
0.602 * [backup-simplify]: Simplify (* 1 1) into 1
0.602 * [backup-simplify]: Simplify (/ 1 1) into 1
0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.602 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.602 * [taylor]: Taking taylor expansion of a1 in a2
0.602 * [backup-simplify]: Simplify a1 into a1
0.602 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.602 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.602 * [taylor]: Taking taylor expansion of 2.0 in a2
0.602 * [backup-simplify]: Simplify 2.0 into 2.0
0.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.603 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.603 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.603 * [backup-simplify]: Simplify (- 0) into 0
0.603 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.604 * [backup-simplify]: Simplify (+ 1 0) into 1
0.604 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.604 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.604 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.604 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.604 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.604 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.604 * [taylor]: Taking taylor expansion of -1 in a1
0.604 * [backup-simplify]: Simplify -1 into -1
0.604 * [taylor]: Taking taylor expansion of th in a1
0.604 * [backup-simplify]: Simplify th into th
0.604 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.604 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.604 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.604 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.604 * [taylor]: Taking taylor expansion of a2 in a1
0.604 * [backup-simplify]: Simplify a2 into a2
0.604 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.605 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.605 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.605 * [taylor]: Taking taylor expansion of a1 in a1
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify (* 1 1) into 1
0.605 * [backup-simplify]: Simplify (/ 1 1) into 1
0.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.605 * [taylor]: Taking taylor expansion of 2.0 in a1
0.605 * [backup-simplify]: Simplify 2.0 into 2.0
0.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.606 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.606 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.606 * [backup-simplify]: Simplify (- 0) into 0
0.606 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.607 * [backup-simplify]: Simplify (+ 0 1) into 1
0.607 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.607 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.607 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.607 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.607 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.607 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.607 * [taylor]: Taking taylor expansion of -1 in a1
0.607 * [backup-simplify]: Simplify -1 into -1
0.607 * [taylor]: Taking taylor expansion of th in a1
0.607 * [backup-simplify]: Simplify th into th
0.607 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.607 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.607 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.607 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.607 * [taylor]: Taking taylor expansion of a2 in a1
0.607 * [backup-simplify]: Simplify a2 into a2
0.607 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.607 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.607 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.607 * [taylor]: Taking taylor expansion of a1 in a1
0.607 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify 1 into 1
0.608 * [backup-simplify]: Simplify (* 1 1) into 1
0.608 * [backup-simplify]: Simplify (/ 1 1) into 1
0.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.608 * [taylor]: Taking taylor expansion of 2.0 in a1
0.608 * [backup-simplify]: Simplify 2.0 into 2.0
0.608 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.609 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.609 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.609 * [backup-simplify]: Simplify (- 0) into 0
0.609 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.609 * [backup-simplify]: Simplify (+ 0 1) into 1
0.610 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.610 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.610 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
0.610 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.610 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.610 * [taylor]: Taking taylor expansion of -1 in a2
0.610 * [backup-simplify]: Simplify -1 into -1
0.610 * [taylor]: Taking taylor expansion of th in a2
0.610 * [backup-simplify]: Simplify th into th
0.610 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.610 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.610 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.610 * [taylor]: Taking taylor expansion of 2.0 in a2
0.610 * [backup-simplify]: Simplify 2.0 into 2.0
0.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.611 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.611 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.611 * [backup-simplify]: Simplify (- 0) into 0
0.611 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.612 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (+ 0) into 0
0.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.614 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.615 * [backup-simplify]: Simplify (- 0) into 0
0.615 * [backup-simplify]: Simplify (+ 0 0) into 0
0.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.616 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.616 * [taylor]: Taking taylor expansion of 0 in a2
0.616 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.619 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.620 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.620 * [backup-simplify]: Simplify (- 0) into 0
0.620 * [backup-simplify]: Simplify (+ 0 0) into 0
0.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
0.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.623 * [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)))
0.623 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.623 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.623 * [taylor]: Taking taylor expansion of -1 in a2
0.623 * [backup-simplify]: Simplify -1 into -1
0.623 * [taylor]: Taking taylor expansion of th in a2
0.623 * [backup-simplify]: Simplify th into th
0.623 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.623 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.623 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.623 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.623 * [taylor]: Taking taylor expansion of 2.0 in a2
0.623 * [backup-simplify]: Simplify 2.0 into 2.0
0.623 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.624 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.624 * [taylor]: Taking taylor expansion of a2 in a2
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 1 into 1
0.624 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.624 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.624 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.625 * [backup-simplify]: Simplify (* 1 1) into 1
0.625 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.626 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.626 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.626 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.626 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.626 * [taylor]: Taking taylor expansion of -1 in th
0.626 * [backup-simplify]: Simplify -1 into -1
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 (/ -1 1) into -1
0.627 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 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
0.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.628 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.629 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.629 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.629 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.629 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.629 * [taylor]: Taking taylor expansion of -1 in th
0.629 * [backup-simplify]: Simplify -1 into -1
0.629 * [taylor]: Taking taylor expansion of th in th
0.629 * [backup-simplify]: Simplify 0 into 0
0.629 * [backup-simplify]: Simplify 1 into 1
0.630 * [backup-simplify]: Simplify (/ -1 1) into -1
0.630 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.630 * [taylor]: Taking taylor expansion of 2.0 in th
0.630 * [backup-simplify]: Simplify 2.0 into 2.0
0.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.632 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.632 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.632 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.635 * [backup-simplify]: Simplify (+ 0 0) into 0
0.636 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.645 * [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
0.645 * [taylor]: Taking taylor expansion of 0 in a2
0.645 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify (+ 0) into 0
0.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.646 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.648 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.648 * [backup-simplify]: Simplify (- 0) into 0
0.648 * [backup-simplify]: Simplify (+ 0 0) into 0
0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.651 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.651 * [taylor]: Taking taylor expansion of 0 in th
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [taylor]: Taking taylor expansion of 0 in th
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify 0 into 0
0.652 * [backup-simplify]: Simplify (+ 0) into 0
0.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.652 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.654 * [backup-simplify]: Simplify (- 0) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.656 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.656 * [taylor]: Taking taylor expansion of 0 in th
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.662 * [backup-simplify]: Simplify (+ 0 0) into 0
0.664 * [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
0.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.665 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.667 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.667 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.668 * [backup-simplify]: Simplify (- 0) into 0
0.668 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.671 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.675 * [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
0.675 * [taylor]: Taking taylor expansion of 0 in a2
0.675 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.677 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.678 * [backup-simplify]: Simplify (- 0) into 0
0.679 * [backup-simplify]: Simplify (+ 0 0) into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.682 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.684 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.684 * [taylor]: Taking taylor expansion of 0 in th
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.686 * [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)))
0.686 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.686 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
0.686 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
0.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.686 * [taylor]: Taking taylor expansion of 2.0 in th
0.686 * [backup-simplify]: Simplify 2.0 into 2.0
0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.687 * [taylor]: Taking taylor expansion of (cos th) in th
0.687 * [taylor]: Taking taylor expansion of th in th
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 1 into 1
0.688 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.688 * [taylor]: Taking taylor expansion of 2.0 in th
0.688 * [backup-simplify]: Simplify 2.0 into 2.0
0.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.690 * [taylor]: Taking taylor expansion of (cos th) in th
0.690 * [taylor]: Taking taylor expansion of th in th
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.691 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.691 * [backup-simplify]: Simplify (+ 0) into 0
0.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.692 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
0.699 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
0.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
0.702 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.704 * [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
0.710 * [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))
0.710 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
0.712 * [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)))))
0.712 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.712 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
0.712 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.712 * [taylor]: Taking taylor expansion of 2.0 in th
0.712 * [backup-simplify]: Simplify 2.0 into 2.0
0.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.713 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.713 * [taylor]: Taking taylor expansion of th in th
0.713 * [backup-simplify]: Simplify 0 into 0
0.713 * [backup-simplify]: Simplify 1 into 1
0.714 * [backup-simplify]: Simplify (/ 1 1) into 1
0.714 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.714 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.714 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.714 * [taylor]: Taking taylor expansion of 2.0 in th
0.714 * [backup-simplify]: Simplify 2.0 into 2.0
0.714 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.717 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.717 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.717 * [taylor]: Taking taylor expansion of th in th
0.717 * [backup-simplify]: Simplify 0 into 0
0.717 * [backup-simplify]: Simplify 1 into 1
0.717 * [backup-simplify]: Simplify (/ 1 1) into 1
0.717 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.717 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.718 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.718 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
0.718 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.720 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.721 * [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
0.721 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.723 * [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
0.723 * [backup-simplify]: Simplify 0 into 0
0.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.724 * [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
0.724 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.726 * [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
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
0.726 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.726 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
0.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.727 * [taylor]: Taking taylor expansion of 2.0 in th
0.727 * [backup-simplify]: Simplify 2.0 into 2.0
0.727 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.727 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.727 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.727 * [taylor]: Taking taylor expansion of -1 in th
0.727 * [backup-simplify]: Simplify -1 into -1
0.727 * [taylor]: Taking taylor expansion of th in th
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 (cos (/ -1 th)) into (cos (/ -1 th))
0.728 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.728 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.728 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.728 * [taylor]: Taking taylor expansion of 2.0 in th
0.728 * [backup-simplify]: Simplify 2.0 into 2.0
0.728 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.729 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.729 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.729 * [taylor]: Taking taylor expansion of -1 in th
0.729 * [backup-simplify]: Simplify -1 into -1
0.729 * [taylor]: Taking taylor expansion of th in th
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
0.729 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.730 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.730 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.730 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
0.730 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.731 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.733 * [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
0.733 * [backup-simplify]: Simplify 0 into 0
0.734 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.735 * [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
0.735 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.736 * [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
0.736 * [backup-simplify]: Simplify 0 into 0
0.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.738 * [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
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
0.738 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.738 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
0.738 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
0.738 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.738 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.738 * [taylor]: Taking taylor expansion of a2 in a2
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify 1 into 1
0.738 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.738 * [taylor]: Taking taylor expansion of a1 in a2
0.738 * [backup-simplify]: Simplify a1 into a1
0.738 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.738 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.738 * [taylor]: Taking taylor expansion of a2 in a1
0.738 * [backup-simplify]: Simplify a2 into a2
0.738 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.738 * [taylor]: Taking taylor expansion of a1 in a1
0.738 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify 1 into 1
0.738 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.739 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.739 * [taylor]: Taking taylor expansion of a2 in a1
0.739 * [backup-simplify]: Simplify a2 into a2
0.739 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.739 * [taylor]: Taking taylor expansion of a1 in a1
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.739 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.739 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.739 * [taylor]: Taking taylor expansion of a2 in a2
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 1 into 1
0.739 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.739 * [backup-simplify]: Simplify (+ 0 0) into 0
0.739 * [taylor]: Taking taylor expansion of 0 in a2
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.740 * [backup-simplify]: Simplify (* 1 1) into 1
0.740 * [backup-simplify]: Simplify (+ 0 1) into 1
0.740 * [taylor]: Taking taylor expansion of 1 in a2
0.740 * [backup-simplify]: Simplify 1 into 1
0.740 * [backup-simplify]: Simplify 1 into 1
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify (* 1 1) into 1
0.740 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.742 * [backup-simplify]: Simplify (+ 0 0) into 0
0.742 * [taylor]: Taking taylor expansion of 0 in a2
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.742 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.744 * [backup-simplify]: Simplify (+ 0 0) into 0
0.744 * [taylor]: Taking taylor expansion of 0 in a2
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
0.744 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.744 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.744 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.744 * [taylor]: Taking taylor expansion of a2 in a2
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 1 into 1
0.745 * [backup-simplify]: Simplify (* 1 1) into 1
0.745 * [backup-simplify]: Simplify (/ 1 1) into 1
0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.745 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.745 * [taylor]: Taking taylor expansion of a1 in a2
0.745 * [backup-simplify]: Simplify a1 into a1
0.745 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.745 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.745 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.745 * [taylor]: Taking taylor expansion of a2 in a1
0.745 * [backup-simplify]: Simplify a2 into a2
0.746 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.746 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.746 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.746 * [taylor]: Taking taylor expansion of a1 in a1
0.746 * [backup-simplify]: Simplify 0 into 0
0.746 * [backup-simplify]: Simplify 1 into 1
0.746 * [backup-simplify]: Simplify (* 1 1) into 1
0.746 * [backup-simplify]: Simplify (/ 1 1) into 1
0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.747 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.747 * [taylor]: Taking taylor expansion of a2 in a1
0.747 * [backup-simplify]: Simplify a2 into a2
0.747 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.747 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.747 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.747 * [taylor]: Taking taylor expansion of a1 in a1
0.747 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify 1 into 1
0.747 * [backup-simplify]: Simplify (* 1 1) into 1
0.748 * [backup-simplify]: Simplify (/ 1 1) into 1
0.748 * [backup-simplify]: Simplify (+ 0 1) into 1
0.748 * [taylor]: Taking taylor expansion of 1 in a2
0.748 * [backup-simplify]: Simplify 1 into 1
0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (+ 0 0) into 0
0.750 * [taylor]: Taking taylor expansion of 0 in a2
0.750 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.752 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.752 * [taylor]: Taking taylor expansion of a2 in a2
0.752 * [backup-simplify]: Simplify 0 into 0
0.752 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify (* 1 1) into 1
0.753 * [backup-simplify]: Simplify (/ 1 1) into 1
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify 1 into 1
0.753 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.756 * [backup-simplify]: Simplify (+ 0 0) into 0
0.756 * [taylor]: Taking taylor expansion of 0 in a2
0.756 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.757 * [backup-simplify]: Simplify 0 into 0
0.757 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify 0 into 0
0.758 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.761 * [taylor]: Taking taylor expansion of 0 in a2
0.761 * [backup-simplify]: Simplify 0 into 0
0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.764 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.765 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.765 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.765 * [taylor]: Taking taylor expansion of a2 in a2
0.765 * [backup-simplify]: Simplify 0 into 0
0.765 * [backup-simplify]: Simplify 1 into 1
0.765 * [backup-simplify]: Simplify (* 1 1) into 1
0.765 * [backup-simplify]: Simplify (/ 1 1) into 1
0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.765 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.766 * [taylor]: Taking taylor expansion of a1 in a2
0.766 * [backup-simplify]: Simplify a1 into a1
0.766 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.766 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.766 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.766 * [taylor]: Taking taylor expansion of a2 in a1
0.766 * [backup-simplify]: Simplify a2 into a2
0.766 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.766 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.766 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.766 * [taylor]: Taking taylor expansion of a1 in a1
0.766 * [backup-simplify]: Simplify 0 into 0
0.766 * [backup-simplify]: Simplify 1 into 1
0.767 * [backup-simplify]: Simplify (* 1 1) into 1
0.767 * [backup-simplify]: Simplify (/ 1 1) into 1
0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.767 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.767 * [taylor]: Taking taylor expansion of a2 in a1
0.767 * [backup-simplify]: Simplify a2 into a2
0.767 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.767 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.767 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.767 * [taylor]: Taking taylor expansion of a1 in a1
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 1 into 1
0.768 * [backup-simplify]: Simplify (* 1 1) into 1
0.768 * [backup-simplify]: Simplify (/ 1 1) into 1
0.769 * [backup-simplify]: Simplify (+ 0 1) into 1
0.769 * [taylor]: Taking taylor expansion of 1 in a2
0.769 * [backup-simplify]: Simplify 1 into 1
0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.771 * [backup-simplify]: Simplify (+ 0 0) into 0
0.771 * [taylor]: Taking taylor expansion of 0 in a2
0.771 * [backup-simplify]: Simplify 0 into 0
0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.773 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.773 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.773 * [taylor]: Taking taylor expansion of a2 in a2
0.773 * [backup-simplify]: Simplify 0 into 0
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (* 1 1) into 1
0.773 * [backup-simplify]: Simplify (/ 1 1) into 1
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify 1 into 1
0.773 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (+ 0 0) into 0
0.775 * [taylor]: Taking taylor expansion of 0 in a2
0.775 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify 0 into 0
0.776 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.778 * [backup-simplify]: Simplify (+ 0 0) into 0
0.778 * [taylor]: Taking taylor expansion of 0 in a2
0.778 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.780 * * * [progress]: simplifying candidates
0.782 * [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))
0.786 * * [simplify]: iteration 0: 250 enodes
0.855 * * [simplify]: iteration 1: 680 enodes
1.326 * * [simplify]: iteration 2: 4529 enodes
2.373 * * [simplify]: iteration complete: 5000 enodes
2.374 * * [simplify]: Extracting #0: cost 163 inf + 0
2.379 * * [simplify]: Extracting #1: cost 1177 inf + 1
2.389 * * [simplify]: Extracting #2: cost 1792 inf + 543
2.411 * * [simplify]: Extracting #3: cost 1681 inf + 30777
2.443 * * [simplify]: Extracting #4: cost 1211 inf + 102048
2.522 * * [simplify]: Extracting #5: cost 484 inf + 304479
2.658 * * [simplify]: Extracting #6: cost 54 inf + 459925
2.810 * * [simplify]: Extracting #7: cost 0 inf + 481358
2.949 * * [simplify]: Extracting #8: cost 0 inf + 481237
3.057 * [simplify]: Simplified to:
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (exp (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))) (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0)))
  (- (- (* a1 a1)) (* a2 a2))
  (/ (- (sqrt 2.0)) (cos th))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (cbrt (cos th)) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt 2.0)))
  (* (cos th) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (fabs (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (* (/ 1 (cbrt (sqrt 2.0))) (/ 1 (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ 1 (cbrt (sqrt 2.0))) (/ 1 (cbrt (sqrt 2.0))))
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ 1 (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  1
  (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (* (+ (* a1 a1) (* a2 a2)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (sqrt (cos th)) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (* a2 a2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (* a2 a2)) (sqrt (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (cos th)) (* (+ a1 a2) (- a1 a2)))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt 2.0) 2.0) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt 2.0) 2.0) (* (* (cos th) (cos th)) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (exp (+ (* a1 a1) (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (* (+ a1 a2) (- a1 a2))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (sqrt 2.0) (+ (* (* 5/24 (sqrt 2.0)) (* (* th th) (* th th))) (* (* 1/2 (* th th)) (sqrt 2.0))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
  (+ (* a1 a1) (* a2 a2))
3.086 * * * [progress]: adding candidates to table
4.110 * * [progress]: iteration 2 / 4
4.110 * * * [progress]: picking best candidate
4.153 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))>
4.153 * * * [progress]: localizing error
4.200 * * * [progress]: generating rewritten candidates
4.200 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
4.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
4.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
4.364 * * * [progress]: generating series expansions
4.364 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.365 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) into (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th)))
4.365 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in (th a1 a2) around 0
4.365 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a2
4.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.365 * [taylor]: Taking taylor expansion of 2.0 in a2
4.365 * [backup-simplify]: Simplify 2.0 into 2.0
4.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.366 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.366 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.367 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.367 * [taylor]: Taking taylor expansion of a2 in a2
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.367 * [taylor]: Taking taylor expansion of a1 in a2
4.367 * [backup-simplify]: Simplify a1 into a1
4.367 * [taylor]: Taking taylor expansion of (cos th) in a2
4.367 * [taylor]: Taking taylor expansion of th in a2
4.367 * [backup-simplify]: Simplify th into th
4.367 * [backup-simplify]: Simplify (cos th) into (cos th)
4.367 * [backup-simplify]: Simplify (sin th) into (sin th)
4.367 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.367 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.367 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.367 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.368 * [backup-simplify]: Simplify (- 0) into 0
4.368 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.368 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.369 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (pow a1 2) (cos th))) into (/ (sqrt 2.0) (* (pow a1 2) (cos th)))
4.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a1
4.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.369 * [taylor]: Taking taylor expansion of 2.0 in a1
4.369 * [backup-simplify]: Simplify 2.0 into 2.0
4.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.370 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.370 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.370 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.370 * [taylor]: Taking taylor expansion of a2 in a1
4.370 * [backup-simplify]: Simplify a2 into a2
4.370 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.370 * [taylor]: Taking taylor expansion of a1 in a1
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [taylor]: Taking taylor expansion of (cos th) in a1
4.370 * [taylor]: Taking taylor expansion of th in a1
4.370 * [backup-simplify]: Simplify th into th
4.371 * [backup-simplify]: Simplify (cos th) into (cos th)
4.371 * [backup-simplify]: Simplify (sin th) into (sin th)
4.371 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.371 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.371 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.371 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.371 * [backup-simplify]: Simplify (- 0) into 0
4.372 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.372 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.372 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos th) (pow a2 2))) into (/ (sqrt 2.0) (* (cos th) (pow a2 2)))
4.372 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in th
4.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.372 * [taylor]: Taking taylor expansion of 2.0 in th
4.372 * [backup-simplify]: Simplify 2.0 into 2.0
4.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.374 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.374 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.374 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.374 * [taylor]: Taking taylor expansion of a2 in th
4.374 * [backup-simplify]: Simplify a2 into a2
4.374 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.374 * [taylor]: Taking taylor expansion of a1 in th
4.374 * [backup-simplify]: Simplify a1 into a1
4.374 * [taylor]: Taking taylor expansion of (cos th) in th
4.374 * [taylor]: Taking taylor expansion of th in th
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.374 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.375 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.375 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.376 * [backup-simplify]: Simplify (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) into (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2)))
4.376 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in th
4.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.377 * [taylor]: Taking taylor expansion of 2.0 in th
4.377 * [backup-simplify]: Simplify 2.0 into 2.0
4.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.378 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.378 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.378 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.378 * [taylor]: Taking taylor expansion of a2 in th
4.378 * [backup-simplify]: Simplify a2 into a2
4.378 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.378 * [taylor]: Taking taylor expansion of a1 in th
4.378 * [backup-simplify]: Simplify a1 into a1
4.378 * [taylor]: Taking taylor expansion of (cos th) in th
4.378 * [taylor]: Taking taylor expansion of th in th
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.379 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.379 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.379 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.380 * [backup-simplify]: Simplify (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) into (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2)))
4.380 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) in a1
4.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.380 * [taylor]: Taking taylor expansion of 2.0 in a1
4.380 * [backup-simplify]: Simplify 2.0 into 2.0
4.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.381 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.381 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.381 * [taylor]: Taking taylor expansion of a2 in a1
4.381 * [backup-simplify]: Simplify a2 into a2
4.381 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.381 * [taylor]: Taking taylor expansion of a1 in a1
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify 1 into 1
4.381 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.381 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.382 * [backup-simplify]: Simplify (/ (sqrt 2.0) (pow a2 2)) into (/ (sqrt 2.0) (pow a2 2))
4.382 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow a2 2)) in a2
4.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.382 * [taylor]: Taking taylor expansion of 2.0 in a2
4.382 * [backup-simplify]: Simplify 2.0 into 2.0
4.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.382 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.382 * [taylor]: Taking taylor expansion of a2 in a2
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 1 into 1
4.383 * [backup-simplify]: Simplify (* 1 1) into 1
4.383 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify (+ 0) into 0
4.387 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.387 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.387 * [backup-simplify]: Simplify (+ 0 0) into 0
4.387 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (* 0 1)) into 0
4.388 * [backup-simplify]: Simplify (- (/ 0 (+ (pow a2 2) (pow a1 2))) (+ (* (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
4.388 * [taylor]: Taking taylor expansion of 0 in a1
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [taylor]: Taking taylor expansion of 0 in a2
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.388 * [backup-simplify]: Simplify (+ 0 0) into 0
4.389 * [backup-simplify]: Simplify (- (/ 0 (pow a2 2)) (+ (* (/ (sqrt 2.0) (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.389 * [taylor]: Taking taylor expansion of 0 in a2
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.391 * [backup-simplify]: Simplify 0 into 0
4.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.393 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.393 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.393 * [backup-simplify]: Simplify (+ 0 0) into 0
4.394 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2))))
4.395 * [backup-simplify]: Simplify (- (/ 0 (+ (pow a2 2) (pow a1 2))) (+ (* (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) (+ (pow a2 2) (pow a1 2)))) (* 0 (/ 0 (+ (pow a2 2) (pow a1 2)))))) into (+ (* 1/2 (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) (* 1/2 (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))))
4.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) (* 1/2 (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2)))) in a1
4.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) in a1
4.395 * [taylor]: Taking taylor expansion of 1/2 in a1
4.395 * [backup-simplify]: Simplify 1/2 into 1/2
4.395 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2)) in a1
4.395 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a1
4.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.395 * [taylor]: Taking taylor expansion of 2.0 in a1
4.395 * [backup-simplify]: Simplify 2.0 into 2.0
4.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.396 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.396 * [taylor]: Taking taylor expansion of a2 in a1
4.396 * [backup-simplify]: Simplify a2 into a2
4.396 * [taylor]: Taking taylor expansion of (pow (+ (pow a2 2) (pow a1 2)) 2) in a1
4.396 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.396 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.396 * [taylor]: Taking taylor expansion of a2 in a1
4.396 * [backup-simplify]: Simplify a2 into a2
4.396 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.396 * [taylor]: Taking taylor expansion of a1 in a1
4.396 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify 1 into 1
4.396 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.396 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.396 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.397 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
4.397 * [backup-simplify]: Simplify (* (pow a2 2) (pow a2 2)) into (pow a2 4)
4.397 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (pow a2 2)) (pow a2 4)) into (/ (sqrt 2.0) (pow a2 2))
4.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) in a1
4.397 * [taylor]: Taking taylor expansion of 1/2 in a1
4.397 * [backup-simplify]: Simplify 1/2 into 1/2
4.397 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2)) in a1
4.397 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
4.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.397 * [taylor]: Taking taylor expansion of 2.0 in a1
4.397 * [backup-simplify]: Simplify 2.0 into 2.0
4.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.398 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.398 * [taylor]: Taking taylor expansion of a1 in a1
4.398 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify 1 into 1
4.398 * [taylor]: Taking taylor expansion of (pow (+ (pow a2 2) (pow a1 2)) 2) in a1
4.398 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.398 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.398 * [taylor]: Taking taylor expansion of a2 in a1
4.398 * [backup-simplify]: Simplify a2 into a2
4.398 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.398 * [taylor]: Taking taylor expansion of a1 in a1
4.398 * [backup-simplify]: Simplify 0 into 0
4.398 * [backup-simplify]: Simplify 1 into 1
4.398 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.398 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.399 * [backup-simplify]: Simplify (* 1 1) into 1
4.399 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.399 * [backup-simplify]: Simplify (* (pow a2 2) (pow a2 2)) into (pow a2 4)
4.400 * [backup-simplify]: Simplify (/ (sqrt 2.0) (pow a2 4)) into (/ (sqrt 2.0) (pow a2 4))
4.400 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 2.0) (pow a2 2))) into (* 1/2 (/ (sqrt 2.0) (pow a2 2)))
4.401 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 2.0) (pow a2 2))) 0) into (* 1/2 (/ (sqrt 2.0) (pow a2 2)))
4.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow a2 2))) in a2
4.401 * [taylor]: Taking taylor expansion of 1/2 in a2
4.401 * [backup-simplify]: Simplify 1/2 into 1/2
4.401 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow a2 2)) in a2
4.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.401 * [taylor]: Taking taylor expansion of 2.0 in a2
4.401 * [backup-simplify]: Simplify 2.0 into 2.0
4.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.401 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.401 * [taylor]: Taking taylor expansion of a2 in a2
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [backup-simplify]: Simplify 1 into 1
4.402 * [backup-simplify]: Simplify (* 1 1) into 1
4.402 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.403 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [taylor]: Taking taylor expansion of 0 in a2
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 th))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.406 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (th a1 a2) around 0
4.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
4.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.407 * [taylor]: Taking taylor expansion of 2.0 in a2
4.407 * [backup-simplify]: Simplify 2.0 into 2.0
4.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.407 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.407 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.407 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.407 * [taylor]: Taking taylor expansion of th in a2
4.407 * [backup-simplify]: Simplify th into th
4.407 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.407 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.407 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.408 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.408 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.408 * [taylor]: Taking taylor expansion of a2 in a2
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 1 into 1
4.408 * [backup-simplify]: Simplify (* 1 1) into 1
4.408 * [backup-simplify]: Simplify (/ 1 1) into 1
4.408 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.408 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.408 * [taylor]: Taking taylor expansion of a1 in a2
4.408 * [backup-simplify]: Simplify a1 into a1
4.408 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.408 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.408 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.408 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.409 * [backup-simplify]: Simplify (- 0) into 0
4.409 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.409 * [backup-simplify]: Simplify (+ 1 0) into 1
4.410 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.410 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.410 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.410 * [taylor]: Taking taylor expansion of 2.0 in a1
4.410 * [backup-simplify]: Simplify 2.0 into 2.0
4.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.411 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.412 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.412 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.412 * [taylor]: Taking taylor expansion of th in a1
4.412 * [backup-simplify]: Simplify th into th
4.412 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.412 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.412 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.412 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.412 * [taylor]: Taking taylor expansion of a2 in a1
4.412 * [backup-simplify]: Simplify a2 into a2
4.412 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.412 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.412 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.412 * [taylor]: Taking taylor expansion of a1 in a1
4.412 * [backup-simplify]: Simplify 0 into 0
4.412 * [backup-simplify]: Simplify 1 into 1
4.413 * [backup-simplify]: Simplify (* 1 1) into 1
4.413 * [backup-simplify]: Simplify (/ 1 1) into 1
4.413 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.413 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.414 * [backup-simplify]: Simplify (- 0) into 0
4.414 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.414 * [backup-simplify]: Simplify (+ 0 1) into 1
4.414 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.415 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.415 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.415 * [taylor]: Taking taylor expansion of 2.0 in th
4.415 * [backup-simplify]: Simplify 2.0 into 2.0
4.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.416 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.416 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.416 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.416 * [taylor]: Taking taylor expansion of th in th
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.417 * [backup-simplify]: Simplify (/ 1 1) into 1
4.417 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.417 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.417 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.417 * [taylor]: Taking taylor expansion of a2 in th
4.417 * [backup-simplify]: Simplify a2 into a2
4.417 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.417 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.417 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.417 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.417 * [taylor]: Taking taylor expansion of a1 in th
4.417 * [backup-simplify]: Simplify a1 into a1
4.417 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.417 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.418 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.418 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.419 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.419 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.419 * [taylor]: Taking taylor expansion of 2.0 in th
4.419 * [backup-simplify]: Simplify 2.0 into 2.0
4.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.420 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.420 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.420 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.420 * [taylor]: Taking taylor expansion of th in th
4.420 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify 1 into 1
4.421 * [backup-simplify]: Simplify (/ 1 1) into 1
4.421 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.421 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.421 * [taylor]: Taking taylor expansion of a2 in th
4.421 * [backup-simplify]: Simplify a2 into a2
4.421 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.421 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.421 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.421 * [taylor]: Taking taylor expansion of a1 in th
4.421 * [backup-simplify]: Simplify a1 into a1
4.421 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.421 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.422 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.422 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.423 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.423 * [taylor]: Taking taylor expansion of 2.0 in a1
4.423 * [backup-simplify]: Simplify 2.0 into 2.0
4.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.424 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.424 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.424 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.424 * [taylor]: Taking taylor expansion of th in a1
4.424 * [backup-simplify]: Simplify th into th
4.424 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.425 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.425 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.425 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.425 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.425 * [taylor]: Taking taylor expansion of a2 in a1
4.425 * [backup-simplify]: Simplify a2 into a2
4.425 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.425 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.425 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.425 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.425 * [taylor]: Taking taylor expansion of a1 in a1
4.425 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify 1 into 1
4.426 * [backup-simplify]: Simplify (* 1 1) into 1
4.426 * [backup-simplify]: Simplify (/ 1 1) into 1
4.426 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.426 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.427 * [backup-simplify]: Simplify (- 0) into 0
4.427 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.427 * [backup-simplify]: Simplify (+ 0 1) into 1
4.427 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.428 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.428 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
4.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.428 * [taylor]: Taking taylor expansion of 2.0 in a2
4.428 * [backup-simplify]: Simplify 2.0 into 2.0
4.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.429 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.429 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.429 * [taylor]: Taking taylor expansion of th in a2
4.429 * [backup-simplify]: Simplify th into th
4.429 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.429 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.429 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.429 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.430 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.430 * [backup-simplify]: Simplify (- 0) into 0
4.430 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.430 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.433 * [backup-simplify]: Simplify (+ 0) into 0
4.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.436 * [backup-simplify]: Simplify (- 0) into 0
4.437 * [backup-simplify]: Simplify (+ 0 0) into 0
4.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.438 * [backup-simplify]: Simplify (- 0) into 0
4.438 * [backup-simplify]: Simplify (+ 0 0) into 0
4.439 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.440 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.440 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.441 * [backup-simplify]: Simplify (+ 0 0) into 0
4.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
4.443 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.443 * [taylor]: Taking taylor expansion of 0 in a1
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [taylor]: Taking taylor expansion of 0 in a2
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify 0 into 0
4.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.445 * [backup-simplify]: Simplify (+ 0 0) into 0
4.445 * [backup-simplify]: Simplify (+ 0) into 0
4.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.447 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.448 * [backup-simplify]: Simplify (- 0) into 0
4.448 * [backup-simplify]: Simplify (+ 0 0) into 0
4.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.449 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.449 * [taylor]: Taking taylor expansion of 0 in a2
4.449 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.455 * [backup-simplify]: Simplify (- 0) into 0
4.455 * [backup-simplify]: Simplify (+ 0 0) into 0
4.456 * [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
4.456 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.458 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.459 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.460 * [backup-simplify]: Simplify (+ 0 0) into 0
4.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
4.463 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) (* 0 (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.463 * [taylor]: Taking taylor expansion of 0 in a1
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [taylor]: Taking taylor expansion of 0 in a2
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [taylor]: Taking taylor expansion of 0 in a2
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 0 into 0
4.464 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.464 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (th a1 a2) around 0
4.464 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
4.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.464 * [taylor]: Taking taylor expansion of 2.0 in a2
4.464 * [backup-simplify]: Simplify 2.0 into 2.0
4.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.471 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.471 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.471 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.471 * [taylor]: Taking taylor expansion of -1 in a2
4.471 * [backup-simplify]: Simplify -1 into -1
4.471 * [taylor]: Taking taylor expansion of th in a2
4.471 * [backup-simplify]: Simplify th into th
4.471 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.471 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.471 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.471 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.471 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.471 * [taylor]: Taking taylor expansion of a2 in a2
4.472 * [backup-simplify]: Simplify 0 into 0
4.472 * [backup-simplify]: Simplify 1 into 1
4.472 * [backup-simplify]: Simplify (* 1 1) into 1
4.473 * [backup-simplify]: Simplify (/ 1 1) into 1
4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.473 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.473 * [taylor]: Taking taylor expansion of a1 in a2
4.473 * [backup-simplify]: Simplify a1 into a1
4.473 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.473 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.473 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.473 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.474 * [backup-simplify]: Simplify (- 0) into 0
4.474 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.474 * [backup-simplify]: Simplify (+ 1 0) into 1
4.474 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.475 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.475 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.475 * [taylor]: Taking taylor expansion of 2.0 in a1
4.475 * [backup-simplify]: Simplify 2.0 into 2.0
4.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.476 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.476 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.476 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.476 * [taylor]: Taking taylor expansion of -1 in a1
4.476 * [backup-simplify]: Simplify -1 into -1
4.476 * [taylor]: Taking taylor expansion of th in a1
4.476 * [backup-simplify]: Simplify th into th
4.477 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.477 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.477 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.477 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.477 * [taylor]: Taking taylor expansion of a2 in a1
4.477 * [backup-simplify]: Simplify a2 into a2
4.477 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.477 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.477 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.477 * [taylor]: Taking taylor expansion of a1 in a1
4.477 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (* 1 1) into 1
4.478 * [backup-simplify]: Simplify (/ 1 1) into 1
4.478 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.478 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.479 * [backup-simplify]: Simplify (- 0) into 0
4.479 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.479 * [backup-simplify]: Simplify (+ 0 1) into 1
4.479 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.480 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.480 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.480 * [taylor]: Taking taylor expansion of 2.0 in th
4.480 * [backup-simplify]: Simplify 2.0 into 2.0
4.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.481 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.481 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.481 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.481 * [taylor]: Taking taylor expansion of -1 in th
4.481 * [backup-simplify]: Simplify -1 into -1
4.481 * [taylor]: Taking taylor expansion of th in th
4.481 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify 1 into 1
4.482 * [backup-simplify]: Simplify (/ -1 1) into -1
4.482 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.482 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.482 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.482 * [taylor]: Taking taylor expansion of a2 in th
4.482 * [backup-simplify]: Simplify a2 into a2
4.482 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.482 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.482 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.482 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.482 * [taylor]: Taking taylor expansion of a1 in th
4.482 * [backup-simplify]: Simplify a1 into a1
4.482 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.483 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.483 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.483 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.484 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.484 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
4.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.484 * [taylor]: Taking taylor expansion of 2.0 in th
4.484 * [backup-simplify]: Simplify 2.0 into 2.0
4.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.486 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.486 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.486 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.486 * [taylor]: Taking taylor expansion of -1 in th
4.486 * [backup-simplify]: Simplify -1 into -1
4.486 * [taylor]: Taking taylor expansion of th in th
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 1 into 1
4.486 * [backup-simplify]: Simplify (/ -1 1) into -1
4.486 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.486 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.486 * [taylor]: Taking taylor expansion of a2 in th
4.486 * [backup-simplify]: Simplify a2 into a2
4.486 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.487 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.487 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.487 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.487 * [taylor]: Taking taylor expansion of a1 in th
4.487 * [backup-simplify]: Simplify a1 into a1
4.487 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.487 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.487 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.488 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.488 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
4.489 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
4.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.489 * [taylor]: Taking taylor expansion of 2.0 in a1
4.489 * [backup-simplify]: Simplify 2.0 into 2.0
4.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.490 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.490 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.490 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.490 * [taylor]: Taking taylor expansion of -1 in a1
4.490 * [backup-simplify]: Simplify -1 into -1
4.490 * [taylor]: Taking taylor expansion of th in a1
4.490 * [backup-simplify]: Simplify th into th
4.490 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.490 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.491 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.491 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.491 * [taylor]: Taking taylor expansion of a2 in a1
4.491 * [backup-simplify]: Simplify a2 into a2
4.491 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.491 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.491 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.491 * [taylor]: Taking taylor expansion of a1 in a1
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (* 1 1) into 1
4.492 * [backup-simplify]: Simplify (/ 1 1) into 1
4.492 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.492 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.492 * [backup-simplify]: Simplify (- 0) into 0
4.492 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.493 * [backup-simplify]: Simplify (+ 0 1) into 1
4.493 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.494 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
4.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.494 * [taylor]: Taking taylor expansion of 2.0 in a2
4.494 * [backup-simplify]: Simplify 2.0 into 2.0
4.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.495 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.495 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.495 * [taylor]: Taking taylor expansion of -1 in a2
4.495 * [backup-simplify]: Simplify -1 into -1
4.495 * [taylor]: Taking taylor expansion of th in a2
4.495 * [backup-simplify]: Simplify th into th
4.495 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.495 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.495 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.495 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.495 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.496 * [backup-simplify]: Simplify (- 0) into 0
4.496 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.498 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.499 * [backup-simplify]: Simplify (+ 0) into 0
4.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.500 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.503 * [backup-simplify]: Simplify (- 0) into 0
4.503 * [backup-simplify]: Simplify (+ 0 0) into 0
4.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.504 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.504 * [backup-simplify]: Simplify (- 0) into 0
4.505 * [backup-simplify]: Simplify (+ 0 0) into 0
4.505 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.506 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.507 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.508 * [backup-simplify]: Simplify (+ 0 0) into 0
4.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
4.510 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.510 * [taylor]: Taking taylor expansion of 0 in a1
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [taylor]: Taking taylor expansion of 0 in a2
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.512 * [backup-simplify]: Simplify (+ 0 0) into 0
4.512 * [backup-simplify]: Simplify (+ 0) into 0
4.513 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.513 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.514 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.514 * [backup-simplify]: Simplify (- 0) into 0
4.515 * [backup-simplify]: Simplify (+ 0 0) into 0
4.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.516 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.516 * [taylor]: Taking taylor expansion of 0 in a2
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.518 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.519 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.522 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.522 * [backup-simplify]: Simplify (- 0) into 0
4.522 * [backup-simplify]: Simplify (+ 0 0) into 0
4.523 * [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
4.523 * [backup-simplify]: Simplify 0 into 0
4.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.525 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.526 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.527 * [backup-simplify]: Simplify (+ 0 0) into 0
4.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
4.530 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) (* 0 (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.530 * [taylor]: Taking taylor expansion of 0 in a1
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [taylor]: Taking taylor expansion of 0 in a2
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [taylor]: Taking taylor expansion of 0 in a2
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * * * * [progress]: [ 2 / 4 ] generating series at (2)
4.531 * [backup-simplify]: Simplify (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
4.531 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (th a1 a2) around 0
4.531 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
4.531 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.531 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.531 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.531 * [taylor]: Taking taylor expansion of a2 in a2
4.531 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify 1 into 1
4.532 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.532 * [taylor]: Taking taylor expansion of a1 in a2
4.532 * [backup-simplify]: Simplify a1 into a1
4.532 * [taylor]: Taking taylor expansion of (cos th) in a2
4.532 * [taylor]: Taking taylor expansion of th in a2
4.532 * [backup-simplify]: Simplify th into th
4.532 * [backup-simplify]: Simplify (cos th) into (cos th)
4.532 * [backup-simplify]: Simplify (sin th) into (sin th)
4.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.532 * [taylor]: Taking taylor expansion of 2.0 in a2
4.532 * [backup-simplify]: Simplify 2.0 into 2.0
4.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.533 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.533 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.534 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.534 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.534 * [backup-simplify]: Simplify (- 0) into 0
4.534 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.534 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.535 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.535 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.535 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.535 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.535 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.535 * [taylor]: Taking taylor expansion of a2 in a1
4.535 * [backup-simplify]: Simplify a2 into a2
4.535 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.535 * [taylor]: Taking taylor expansion of a1 in a1
4.535 * [backup-simplify]: Simplify 0 into 0
4.535 * [backup-simplify]: Simplify 1 into 1
4.535 * [taylor]: Taking taylor expansion of (cos th) in a1
4.535 * [taylor]: Taking taylor expansion of th in a1
4.535 * [backup-simplify]: Simplify th into th
4.535 * [backup-simplify]: Simplify (cos th) into (cos th)
4.535 * [backup-simplify]: Simplify (sin th) into (sin th)
4.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.535 * [taylor]: Taking taylor expansion of 2.0 in a1
4.536 * [backup-simplify]: Simplify 2.0 into 2.0
4.536 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.537 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.537 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.537 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.537 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.538 * [backup-simplify]: Simplify (- 0) into 0
4.538 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.538 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.538 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.538 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
4.538 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.539 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.539 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.539 * [taylor]: Taking taylor expansion of a2 in th
4.539 * [backup-simplify]: Simplify a2 into a2
4.539 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.539 * [taylor]: Taking taylor expansion of a1 in th
4.539 * [backup-simplify]: Simplify a1 into a1
4.539 * [taylor]: Taking taylor expansion of (cos th) in th
4.539 * [taylor]: Taking taylor expansion of th in th
4.539 * [backup-simplify]: Simplify 0 into 0
4.539 * [backup-simplify]: Simplify 1 into 1
4.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.539 * [taylor]: Taking taylor expansion of 2.0 in th
4.539 * [backup-simplify]: Simplify 2.0 into 2.0
4.539 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.540 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.540 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.540 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.541 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.541 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
4.541 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
4.541 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.541 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.541 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.541 * [taylor]: Taking taylor expansion of a2 in th
4.542 * [backup-simplify]: Simplify a2 into a2
4.542 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.542 * [taylor]: Taking taylor expansion of a1 in th
4.542 * [backup-simplify]: Simplify a1 into a1
4.542 * [taylor]: Taking taylor expansion of (cos th) in th
4.542 * [taylor]: Taking taylor expansion of th in th
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 1 into 1
4.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.542 * [taylor]: Taking taylor expansion of 2.0 in th
4.542 * [backup-simplify]: Simplify 2.0 into 2.0
4.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.543 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.543 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.543 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.543 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.544 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
4.544 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1
4.544 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.544 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.544 * [taylor]: Taking taylor expansion of a2 in a1
4.544 * [backup-simplify]: Simplify a2 into a2
4.544 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.544 * [taylor]: Taking taylor expansion of a1 in a1
4.544 * [backup-simplify]: Simplify 0 into 0
4.544 * [backup-simplify]: Simplify 1 into 1
4.544 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.544 * [taylor]: Taking taylor expansion of 2.0 in a1
4.544 * [backup-simplify]: Simplify 2.0 into 2.0
4.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.546 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.546 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.546 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
4.546 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
4.546 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.546 * [taylor]: Taking taylor expansion of a2 in a2
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 1 into 1
4.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.547 * [taylor]: Taking taylor expansion of 2.0 in a2
4.547 * [backup-simplify]: Simplify 2.0 into 2.0
4.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.549 * [backup-simplify]: Simplify (* 1 1) into 1
4.550 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.551 * [backup-simplify]: Simplify (+ 0) into 0
4.551 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.551 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.551 * [backup-simplify]: Simplify (+ 0 0) into 0
4.552 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (* 0 1)) into 0
4.554 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.554 * [taylor]: Taking taylor expansion of 0 in a1
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [taylor]: Taking taylor expansion of 0 in a2
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.554 * [backup-simplify]: Simplify (+ 0 0) into 0
4.556 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.556 * [taylor]: Taking taylor expansion of 0 in a2
4.556 * [backup-simplify]: Simplify 0 into 0
4.556 * [backup-simplify]: Simplify 0 into 0
4.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.558 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.558 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.559 * [backup-simplify]: Simplify (+ 0 0) into 0
4.560 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2))))
4.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.564 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) (sqrt 2.0)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2.0))) (* 1/2 (/ (pow a1 2) (sqrt 2.0)))))
4.564 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2.0))) (* 1/2 (/ (pow a1 2) (sqrt 2.0))))) in a1
4.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a2 2) (sqrt 2.0))) (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
4.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a1
4.564 * [taylor]: Taking taylor expansion of 1/2 in a1
4.564 * [backup-simplify]: Simplify 1/2 into 1/2
4.564 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a1
4.564 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.564 * [taylor]: Taking taylor expansion of a2 in a1
4.564 * [backup-simplify]: Simplify a2 into a2
4.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.564 * [taylor]: Taking taylor expansion of 2.0 in a1
4.564 * [backup-simplify]: Simplify 2.0 into 2.0
4.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.565 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.566 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
4.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
4.566 * [taylor]: Taking taylor expansion of 1/2 in a1
4.566 * [backup-simplify]: Simplify 1/2 into 1/2
4.566 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
4.566 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.566 * [taylor]: Taking taylor expansion of a1 in a1
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify 1 into 1
4.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.566 * [taylor]: Taking taylor expansion of 2.0 in a1
4.566 * [backup-simplify]: Simplify 2.0 into 2.0
4.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.568 * [backup-simplify]: Simplify (* 1 1) into 1
4.568 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.569 * [backup-simplify]: Simplify (* 1/2 (/ (pow a2 2) (sqrt 2.0))) into (* 1/2 (/ (pow a2 2) (sqrt 2.0)))
4.570 * [backup-simplify]: Simplify (+ (* 1/2 (/ (pow a2 2) (sqrt 2.0))) 0) into (* 1/2 (/ (pow a2 2) (sqrt 2.0)))
4.570 * [backup-simplify]: Simplify (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2.0))))
4.570 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
4.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
4.570 * [taylor]: Taking taylor expansion of 1/2 in a2
4.570 * [backup-simplify]: Simplify 1/2 into 1/2
4.571 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
4.571 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.571 * [taylor]: Taking taylor expansion of a2 in a2
4.571 * [backup-simplify]: Simplify 0 into 0
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.571 * [taylor]: Taking taylor expansion of 2.0 in a2
4.571 * [backup-simplify]: Simplify 2.0 into 2.0
4.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.572 * [backup-simplify]: Simplify (* 1 1) into 1
4.573 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.573 * [taylor]: Taking taylor expansion of 0 in a2
4.573 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.574 * [backup-simplify]: Simplify (* 1 1) into 1
4.575 * [backup-simplify]: Simplify (+ 0 1) into 1
4.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.579 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (sqrt 2.0))
4.579 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
4.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.579 * [taylor]: Taking taylor expansion of 2.0 in a2
4.579 * [backup-simplify]: Simplify 2.0 into 2.0
4.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.581 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.582 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.582 * [backup-simplify]: Simplify 0 into 0
4.582 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.585 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.586 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.586 * [backup-simplify]: Simplify (+ 0 0) into 0
4.587 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
4.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.593 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (+ (* 1/2 (/ (pow a2 2) (sqrt 2.0))) (* 1/2 (/ (pow a1 2) (sqrt 2.0))))) (/ 0 (sqrt 2.0))))) into 0
4.593 * [taylor]: Taking taylor expansion of 0 in a1
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [taylor]: Taking taylor expansion of 0 in a2
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify 0 into 0
4.593 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.594 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (pow a2 2) (sqrt 2.0)))) into 0
4.596 * [backup-simplify]: Simplify (+ 0 0) into 0
4.596 * [backup-simplify]: Simplify (- 0) into 0
4.596 * [taylor]: Taking taylor expansion of 0 in a2
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [taylor]: Taking taylor expansion of 0 in a2
4.596 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.598 * [backup-simplify]: Simplify (+ 0 0) into 0
4.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.602 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.602 * [taylor]: Taking taylor expansion of 0 in a2
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 0 into 0
4.602 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.603 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* a2 (* 1 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a1 1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
4.606 * [backup-simplify]: Simplify (/ 1 (/ (/ (sqrt 2.0) (cos (/ 1 th))) (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.607 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (th a1 a2) around 0
4.607 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.607 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.607 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.607 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.607 * [taylor]: Taking taylor expansion of th in a2
4.607 * [backup-simplify]: Simplify th into th
4.607 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.607 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.607 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.607 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.607 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.607 * [taylor]: Taking taylor expansion of a2 in a2
4.607 * [backup-simplify]: Simplify 0 into 0
4.607 * [backup-simplify]: Simplify 1 into 1
4.608 * [backup-simplify]: Simplify (* 1 1) into 1
4.608 * [backup-simplify]: Simplify (/ 1 1) into 1
4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.608 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.608 * [taylor]: Taking taylor expansion of a1 in a2
4.608 * [backup-simplify]: Simplify a1 into a1
4.608 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.608 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.608 * [taylor]: Taking taylor expansion of 2.0 in a2
4.608 * [backup-simplify]: Simplify 2.0 into 2.0
4.609 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.610 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.610 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.610 * [backup-simplify]: Simplify (- 0) into 0
4.610 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.611 * [backup-simplify]: Simplify (+ 1 0) into 1
4.611 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.611 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.611 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.611 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.611 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.611 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.611 * [taylor]: Taking taylor expansion of th in a1
4.611 * [backup-simplify]: Simplify th into th
4.611 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.611 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.612 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.612 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.612 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.612 * [taylor]: Taking taylor expansion of a2 in a1
4.612 * [backup-simplify]: Simplify a2 into a2
4.612 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.612 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.612 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.612 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.612 * [taylor]: Taking taylor expansion of a1 in a1
4.612 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify 1 into 1
4.613 * [backup-simplify]: Simplify (* 1 1) into 1
4.613 * [backup-simplify]: Simplify (/ 1 1) into 1
4.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.613 * [taylor]: Taking taylor expansion of 2.0 in a1
4.613 * [backup-simplify]: Simplify 2.0 into 2.0
4.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.614 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.614 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.615 * [backup-simplify]: Simplify (- 0) into 0
4.615 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.615 * [backup-simplify]: Simplify (+ 0 1) into 1
4.615 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.616 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.616 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.616 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.616 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.616 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.616 * [taylor]: Taking taylor expansion of th in th
4.616 * [backup-simplify]: Simplify 0 into 0
4.616 * [backup-simplify]: Simplify 1 into 1
4.616 * [backup-simplify]: Simplify (/ 1 1) into 1
4.617 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.617 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.617 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.617 * [taylor]: Taking taylor expansion of a2 in th
4.617 * [backup-simplify]: Simplify a2 into a2
4.617 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.617 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.617 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.617 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.617 * [taylor]: Taking taylor expansion of a1 in th
4.617 * [backup-simplify]: Simplify a1 into a1
4.617 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.617 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.617 * [taylor]: Taking taylor expansion of 2.0 in th
4.617 * [backup-simplify]: Simplify 2.0 into 2.0
4.618 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.619 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.619 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.620 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.620 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.620 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.620 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.620 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.620 * [taylor]: Taking taylor expansion of th in th
4.620 * [backup-simplify]: Simplify 0 into 0
4.620 * [backup-simplify]: Simplify 1 into 1
4.621 * [backup-simplify]: Simplify (/ 1 1) into 1
4.621 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.621 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.621 * [taylor]: Taking taylor expansion of a2 in th
4.621 * [backup-simplify]: Simplify a2 into a2
4.621 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.621 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.621 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.621 * [taylor]: Taking taylor expansion of a1 in th
4.621 * [backup-simplify]: Simplify a1 into a1
4.621 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.621 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.622 * [taylor]: Taking taylor expansion of 2.0 in th
4.622 * [backup-simplify]: Simplify 2.0 into 2.0
4.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.623 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.623 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.624 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.624 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.624 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.624 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.624 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.624 * [taylor]: Taking taylor expansion of th in a1
4.624 * [backup-simplify]: Simplify th into th
4.624 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.625 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.625 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.625 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.625 * [taylor]: Taking taylor expansion of a2 in a1
4.625 * [backup-simplify]: Simplify a2 into a2
4.625 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.625 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.625 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.625 * [taylor]: Taking taylor expansion of a1 in a1
4.625 * [backup-simplify]: Simplify 0 into 0
4.625 * [backup-simplify]: Simplify 1 into 1
4.626 * [backup-simplify]: Simplify (* 1 1) into 1
4.626 * [backup-simplify]: Simplify (/ 1 1) into 1
4.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.626 * [taylor]: Taking taylor expansion of 2.0 in a1
4.626 * [backup-simplify]: Simplify 2.0 into 2.0
4.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.627 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.627 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.628 * [backup-simplify]: Simplify (- 0) into 0
4.628 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.628 * [backup-simplify]: Simplify (+ 0 1) into 1
4.628 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.629 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.629 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
4.629 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.629 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.629 * [taylor]: Taking taylor expansion of th in a2
4.629 * [backup-simplify]: Simplify th into th
4.629 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.629 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.629 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.629 * [taylor]: Taking taylor expansion of 2.0 in a2
4.629 * [backup-simplify]: Simplify 2.0 into 2.0
4.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.635 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.635 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.635 * [backup-simplify]: Simplify (- 0) into 0
4.635 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.636 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.636 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.636 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.637 * [backup-simplify]: Simplify (+ 0 0) into 0
4.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
4.639 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.640 * [taylor]: Taking taylor expansion of 0 in a1
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.641 * [backup-simplify]: Simplify (+ 0 0) into 0
4.642 * [backup-simplify]: Simplify (+ 0) into 0
4.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.644 * [backup-simplify]: Simplify (- 0) into 0
4.644 * [backup-simplify]: Simplify (+ 0 0) into 0
4.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.646 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.646 * [taylor]: Taking taylor expansion of 0 in a2
4.647 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.648 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.649 * [backup-simplify]: Simplify (+ 0 0) into 0
4.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
4.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.653 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.653 * [taylor]: Taking taylor expansion of 0 in a1
4.653 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.655 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.659 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.659 * [backup-simplify]: Simplify (- 0) into 0
4.660 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
4.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.664 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
4.664 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.664 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.664 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.664 * [taylor]: Taking taylor expansion of th in a2
4.664 * [backup-simplify]: Simplify th into th
4.664 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.664 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.664 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.664 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.664 * [taylor]: Taking taylor expansion of 2.0 in a2
4.664 * [backup-simplify]: Simplify 2.0 into 2.0
4.665 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.665 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.665 * [taylor]: Taking taylor expansion of a2 in a2
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify 1 into 1
4.665 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.665 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.666 * [backup-simplify]: Simplify (- 0) into 0
4.666 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.666 * [backup-simplify]: Simplify (* 1 1) into 1
4.666 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.667 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.667 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.667 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.668 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.669 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.673 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.673 * [taylor]: Taking taylor expansion of 0 in a1
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [taylor]: Taking taylor expansion of 0 in a2
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (+ 0 0) into 0
4.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.676 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.677 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.677 * [backup-simplify]: Simplify (- 0) into 0
4.677 * [backup-simplify]: Simplify (+ 0 0) into 0
4.678 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.681 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.681 * [taylor]: Taking taylor expansion of 0 in a2
4.681 * [backup-simplify]: Simplify 0 into 0
4.681 * [backup-simplify]: Simplify (+ 0) into 0
4.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.683 * [backup-simplify]: Simplify (- 0) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.684 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify (+ 0) into 0
4.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.686 * [backup-simplify]: Simplify (- 0) into 0
4.686 * [backup-simplify]: Simplify (+ 0 0) into 0
4.687 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
4.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.689 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
4.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.690 * [backup-simplify]: Simplify (+ 0 0) into 0
4.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.694 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.694 * [taylor]: Taking taylor expansion of 0 in a1
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [taylor]: Taking taylor expansion of 0 in a2
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [taylor]: Taking taylor expansion of 0 in a2
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.696 * [backup-simplify]: Simplify (+ 0 0) into 0
4.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.699 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.700 * [backup-simplify]: Simplify (- 0) into 0
4.700 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.701 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.704 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.704 * [taylor]: Taking taylor expansion of 0 in a2
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.705 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.706 * [backup-simplify]: Simplify (- 0) into 0
4.706 * [backup-simplify]: Simplify (+ 0 0) into 0
4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.708 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.709 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.712 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.712 * [backup-simplify]: Simplify (- 0) into 0
4.712 * [backup-simplify]: Simplify (+ 0 0) into 0
4.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.715 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.715 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a1)) 1)) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 a2)) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.717 * [backup-simplify]: Simplify (/ 1 (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.717 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (th a1 a2) around 0
4.717 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.717 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.717 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.717 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.717 * [taylor]: Taking taylor expansion of -1 in a2
4.717 * [backup-simplify]: Simplify -1 into -1
4.717 * [taylor]: Taking taylor expansion of th in a2
4.717 * [backup-simplify]: Simplify th into th
4.717 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.717 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.717 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.717 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.717 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.717 * [taylor]: Taking taylor expansion of a2 in a2
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 1 into 1
4.717 * [backup-simplify]: Simplify (* 1 1) into 1
4.718 * [backup-simplify]: Simplify (/ 1 1) into 1
4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.718 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.718 * [taylor]: Taking taylor expansion of a1 in a2
4.718 * [backup-simplify]: Simplify a1 into a1
4.718 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.718 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.718 * [taylor]: Taking taylor expansion of 2.0 in a2
4.718 * [backup-simplify]: Simplify 2.0 into 2.0
4.718 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.719 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.719 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.719 * [backup-simplify]: Simplify (- 0) into 0
4.719 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.720 * [backup-simplify]: Simplify (+ 1 0) into 1
4.720 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.720 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.720 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.720 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.720 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.720 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.720 * [taylor]: Taking taylor expansion of -1 in a1
4.720 * [backup-simplify]: Simplify -1 into -1
4.720 * [taylor]: Taking taylor expansion of th in a1
4.720 * [backup-simplify]: Simplify th into th
4.720 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.720 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.720 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.720 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.720 * [taylor]: Taking taylor expansion of a2 in a1
4.720 * [backup-simplify]: Simplify a2 into a2
4.721 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.721 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.721 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.721 * [taylor]: Taking taylor expansion of a1 in a1
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (* 1 1) into 1
4.721 * [backup-simplify]: Simplify (/ 1 1) into 1
4.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.721 * [taylor]: Taking taylor expansion of 2.0 in a1
4.721 * [backup-simplify]: Simplify 2.0 into 2.0
4.722 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.722 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.722 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.722 * [backup-simplify]: Simplify (- 0) into 0
4.722 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.723 * [backup-simplify]: Simplify (+ 0 1) into 1
4.723 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.723 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.723 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.723 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.723 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.723 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.723 * [taylor]: Taking taylor expansion of -1 in th
4.723 * [backup-simplify]: Simplify -1 into -1
4.723 * [taylor]: Taking taylor expansion of th in th
4.723 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify 1 into 1
4.724 * [backup-simplify]: Simplify (/ -1 1) into -1
4.724 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.724 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.724 * [taylor]: Taking taylor expansion of a2 in th
4.724 * [backup-simplify]: Simplify a2 into a2
4.724 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.724 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.724 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.724 * [taylor]: Taking taylor expansion of a1 in th
4.724 * [backup-simplify]: Simplify a1 into a1
4.724 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.724 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.724 * [taylor]: Taking taylor expansion of 2.0 in th
4.724 * [backup-simplify]: Simplify 2.0 into 2.0
4.724 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.725 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.725 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.726 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.726 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.726 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.726 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.726 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.726 * [taylor]: Taking taylor expansion of -1 in th
4.726 * [backup-simplify]: Simplify -1 into -1
4.726 * [taylor]: Taking taylor expansion of th in th
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 1 into 1
4.726 * [backup-simplify]: Simplify (/ -1 1) into -1
4.726 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.726 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.726 * [taylor]: Taking taylor expansion of a2 in th
4.727 * [backup-simplify]: Simplify a2 into a2
4.727 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.727 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.727 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.727 * [taylor]: Taking taylor expansion of a1 in th
4.727 * [backup-simplify]: Simplify a1 into a1
4.727 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.727 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.727 * [taylor]: Taking taylor expansion of 2.0 in th
4.727 * [backup-simplify]: Simplify 2.0 into 2.0
4.727 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.728 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.728 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.729 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.729 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.729 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.729 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.729 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.729 * [taylor]: Taking taylor expansion of -1 in a1
4.729 * [backup-simplify]: Simplify -1 into -1
4.729 * [taylor]: Taking taylor expansion of th in a1
4.729 * [backup-simplify]: Simplify th into th
4.729 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.729 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.729 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.729 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.729 * [taylor]: Taking taylor expansion of a2 in a1
4.729 * [backup-simplify]: Simplify a2 into a2
4.729 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.729 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.729 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.729 * [taylor]: Taking taylor expansion of a1 in a1
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.730 * [backup-simplify]: Simplify (* 1 1) into 1
4.730 * [backup-simplify]: Simplify (/ 1 1) into 1
4.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.730 * [taylor]: Taking taylor expansion of 2.0 in a1
4.730 * [backup-simplify]: Simplify 2.0 into 2.0
4.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.731 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.731 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.732 * [backup-simplify]: Simplify (- 0) into 0
4.732 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.732 * [backup-simplify]: Simplify (+ 0 1) into 1
4.732 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.733 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.733 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
4.733 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.733 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.733 * [taylor]: Taking taylor expansion of -1 in a2
4.733 * [backup-simplify]: Simplify -1 into -1
4.733 * [taylor]: Taking taylor expansion of th in a2
4.733 * [backup-simplify]: Simplify th into th
4.733 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.733 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.733 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.733 * [taylor]: Taking taylor expansion of 2.0 in a2
4.733 * [backup-simplify]: Simplify 2.0 into 2.0
4.733 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.734 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.734 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.734 * [backup-simplify]: Simplify (- 0) into 0
4.734 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.735 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.735 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.735 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
4.735 * [backup-simplify]: Simplify (+ 0 0) into 0
4.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
4.737 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.737 * [taylor]: Taking taylor expansion of 0 in a1
4.737 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.738 * [backup-simplify]: Simplify (+ 0 0) into 0
4.738 * [backup-simplify]: Simplify (+ 0) into 0
4.739 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.739 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.744 * [backup-simplify]: Simplify (- 0) into 0
4.745 * [backup-simplify]: Simplify (+ 0 0) into 0
4.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.747 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.747 * [taylor]: Taking taylor expansion of 0 in a2
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.748 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.749 * [backup-simplify]: Simplify (+ 0 0) into 0
4.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
4.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.753 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.753 * [taylor]: Taking taylor expansion of 0 in a1
4.753 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.757 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.757 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.759 * [backup-simplify]: Simplify (- 0) into 0
4.759 * [backup-simplify]: Simplify (+ 0 0) into 0
4.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
4.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.764 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
4.764 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.764 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.764 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.764 * [taylor]: Taking taylor expansion of -1 in a2
4.764 * [backup-simplify]: Simplify -1 into -1
4.764 * [taylor]: Taking taylor expansion of th in a2
4.764 * [backup-simplify]: Simplify th into th
4.764 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.764 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.764 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.764 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.764 * [taylor]: Taking taylor expansion of 2.0 in a2
4.764 * [backup-simplify]: Simplify 2.0 into 2.0
4.765 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.765 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.765 * [taylor]: Taking taylor expansion of a2 in a2
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify 1 into 1
4.766 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.766 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.766 * [backup-simplify]: Simplify (- 0) into 0
4.766 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.767 * [backup-simplify]: Simplify (* 1 1) into 1
4.767 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.768 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.769 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.769 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.770 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.772 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
4.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.778 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.778 * [taylor]: Taking taylor expansion of 0 in a1
4.778 * [backup-simplify]: Simplify 0 into 0
4.778 * [taylor]: Taking taylor expansion of 0 in a2
4.778 * [backup-simplify]: Simplify 0 into 0
4.778 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.781 * [backup-simplify]: Simplify (+ 0 0) into 0
4.782 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.783 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.786 * [backup-simplify]: Simplify (- 0) into 0
4.786 * [backup-simplify]: Simplify (+ 0 0) into 0
4.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.792 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.792 * [taylor]: Taking taylor expansion of 0 in a2
4.792 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify (+ 0) into 0
4.793 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.793 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.795 * [backup-simplify]: Simplify (- 0) into 0
4.795 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.797 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.798 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.798 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify (+ 0) into 0
4.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.800 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.801 * [backup-simplify]: Simplify (- 0) into 0
4.802 * [backup-simplify]: Simplify (+ 0 0) into 0
4.803 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.803 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
4.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.806 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
4.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
4.807 * [backup-simplify]: Simplify (+ 0 0) into 0
4.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
4.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.814 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.814 * [taylor]: Taking taylor expansion of 0 in a1
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [taylor]: Taking taylor expansion of 0 in a2
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [taylor]: Taking taylor expansion of 0 in a2
4.814 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.818 * [backup-simplify]: Simplify (+ 0 0) into 0
4.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.821 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.823 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.824 * [backup-simplify]: Simplify (- 0) into 0
4.824 * [backup-simplify]: Simplify (+ 0 0) into 0
4.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.827 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.830 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.830 * [taylor]: Taking taylor expansion of 0 in a2
4.830 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.831 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.832 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.832 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.832 * [backup-simplify]: Simplify (- 0) into 0
4.833 * [backup-simplify]: Simplify (+ 0 0) into 0
4.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.834 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.836 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.837 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.837 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.838 * [backup-simplify]: Simplify (- 0) into 0
4.838 * [backup-simplify]: Simplify (+ 0 0) into 0
4.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.840 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.840 * [backup-simplify]: Simplify 0 into 0
4.841 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a1))) 1)) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a2))) (* 1 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.841 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
4.842 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
4.842 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
4.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.842 * [taylor]: Taking taylor expansion of 2.0 in th
4.842 * [backup-simplify]: Simplify 2.0 into 2.0
4.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.843 * [taylor]: Taking taylor expansion of (cos th) in th
4.843 * [taylor]: Taking taylor expansion of th in th
4.843 * [backup-simplify]: Simplify 0 into 0
4.843 * [backup-simplify]: Simplify 1 into 1
4.843 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.843 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
4.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.843 * [taylor]: Taking taylor expansion of 2.0 in th
4.843 * [backup-simplify]: Simplify 2.0 into 2.0
4.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.844 * [taylor]: Taking taylor expansion of (cos th) in th
4.844 * [taylor]: Taking taylor expansion of th in th
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify 1 into 1
4.844 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
4.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.845 * [backup-simplify]: Simplify (+ 0) into 0
4.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
4.850 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
4.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.852 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
4.853 * [backup-simplify]: Simplify 0 into 0
4.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.855 * [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
4.861 * [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))
4.862 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
4.870 * [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)))))
4.870 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.870 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
4.870 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.871 * [taylor]: Taking taylor expansion of 2.0 in th
4.871 * [backup-simplify]: Simplify 2.0 into 2.0
4.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.872 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.872 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.872 * [taylor]: Taking taylor expansion of th in th
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 1 into 1
4.872 * [backup-simplify]: Simplify (/ 1 1) into 1
4.872 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.873 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.873 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
4.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.873 * [taylor]: Taking taylor expansion of 2.0 in th
4.873 * [backup-simplify]: Simplify 2.0 into 2.0
4.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.874 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.874 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.874 * [taylor]: Taking taylor expansion of th in th
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 1 into 1
4.875 * [backup-simplify]: Simplify (/ 1 1) into 1
4.875 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.876 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.876 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
4.877 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
4.877 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.879 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
4.879 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.881 * [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
4.881 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.884 * [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
4.884 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.886 * [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
4.886 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.887 * [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
4.887 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
4.888 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.888 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
4.888 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.888 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.888 * [taylor]: Taking taylor expansion of 2.0 in th
4.888 * [backup-simplify]: Simplify 2.0 into 2.0
4.888 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.889 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.889 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.889 * [taylor]: Taking taylor expansion of -1 in th
4.889 * [backup-simplify]: Simplify -1 into -1
4.889 * [taylor]: Taking taylor expansion of th in th
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 1 into 1
4.889 * [backup-simplify]: Simplify (/ -1 1) into -1
4.889 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.889 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.889 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
4.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.889 * [taylor]: Taking taylor expansion of 2.0 in th
4.889 * [backup-simplify]: Simplify 2.0 into 2.0
4.890 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.890 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.890 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.890 * [taylor]: Taking taylor expansion of -1 in th
4.890 * [backup-simplify]: Simplify -1 into -1
4.890 * [taylor]: Taking taylor expansion of th in th
4.890 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify 1 into 1
4.890 * [backup-simplify]: Simplify (/ -1 1) into -1
4.890 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.891 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.891 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
4.891 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
4.891 * [backup-simplify]: Simplify 0 into 0
4.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.893 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
4.893 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.894 * [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
4.894 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.895 * [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
4.895 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.897 * [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
4.897 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.898 * [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
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
4.898 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
4.899 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
4.899 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
4.899 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.899 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.899 * [taylor]: Taking taylor expansion of a2 in a2
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.899 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.899 * [taylor]: Taking taylor expansion of a1 in a2
4.899 * [backup-simplify]: Simplify a1 into a1
4.899 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.899 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.899 * [taylor]: Taking taylor expansion of a2 in a1
4.899 * [backup-simplify]: Simplify a2 into a2
4.899 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.899 * [taylor]: Taking taylor expansion of a1 in a1
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.899 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.899 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.899 * [taylor]: Taking taylor expansion of a2 in a1
4.899 * [backup-simplify]: Simplify a2 into a2
4.899 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.899 * [taylor]: Taking taylor expansion of a1 in a1
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.899 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.899 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.899 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.899 * [taylor]: Taking taylor expansion of a2 in a2
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 1 into 1
4.899 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.900 * [backup-simplify]: Simplify (+ 0 0) into 0
4.900 * [taylor]: Taking taylor expansion of 0 in a2
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.900 * [backup-simplify]: Simplify (* 1 1) into 1
4.900 * [backup-simplify]: Simplify (+ 0 1) into 1
4.900 * [taylor]: Taking taylor expansion of 1 in a2
4.900 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify (* 1 1) into 1
4.901 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.902 * [backup-simplify]: Simplify (+ 0 0) into 0
4.902 * [taylor]: Taking taylor expansion of 0 in a2
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.902 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.904 * [backup-simplify]: Simplify (+ 0 0) into 0
4.904 * [taylor]: Taking taylor expansion of 0 in a2
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
4.904 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.904 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
4.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.905 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.905 * [taylor]: Taking taylor expansion of a2 in a2
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 1 into 1
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.905 * [backup-simplify]: Simplify (/ 1 1) into 1
4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.905 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.905 * [taylor]: Taking taylor expansion of a1 in a2
4.905 * [backup-simplify]: Simplify a1 into a1
4.905 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.905 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.905 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.905 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.905 * [taylor]: Taking taylor expansion of a2 in a1
4.905 * [backup-simplify]: Simplify a2 into a2
4.905 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.906 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.906 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.906 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.906 * [taylor]: Taking taylor expansion of a1 in a1
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.906 * [backup-simplify]: Simplify (* 1 1) into 1
4.906 * [backup-simplify]: Simplify (/ 1 1) into 1
4.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.906 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.906 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.906 * [taylor]: Taking taylor expansion of a2 in a1
4.906 * [backup-simplify]: Simplify a2 into a2
4.906 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.906 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.906 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.906 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.906 * [taylor]: Taking taylor expansion of a1 in a1
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.907 * [backup-simplify]: Simplify (* 1 1) into 1
4.907 * [backup-simplify]: Simplify (/ 1 1) into 1
4.907 * [backup-simplify]: Simplify (+ 0 1) into 1
4.907 * [taylor]: Taking taylor expansion of 1 in a2
4.907 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.908 * [backup-simplify]: Simplify (+ 0 0) into 0
4.908 * [taylor]: Taking taylor expansion of 0 in a2
4.908 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.909 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.910 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.910 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.910 * [taylor]: Taking taylor expansion of a2 in a2
4.910 * [backup-simplify]: Simplify 0 into 0
4.910 * [backup-simplify]: Simplify 1 into 1
4.910 * [backup-simplify]: Simplify (* 1 1) into 1
4.910 * [backup-simplify]: Simplify (/ 1 1) into 1
4.910 * [backup-simplify]: Simplify 1 into 1
4.910 * [backup-simplify]: Simplify 1 into 1
4.910 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.912 * [backup-simplify]: Simplify (+ 0 0) into 0
4.912 * [taylor]: Taking taylor expansion of 0 in a2
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.913 * [backup-simplify]: Simplify 0 into 0
4.913 * [backup-simplify]: Simplify 0 into 0
4.913 * [backup-simplify]: Simplify 0 into 0
4.913 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.916 * [backup-simplify]: Simplify (+ 0 0) into 0
4.916 * [taylor]: Taking taylor expansion of 0 in a2
4.916 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
4.919 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.919 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.919 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.919 * [taylor]: Taking taylor expansion of a2 in a2
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (* 1 1) into 1
4.920 * [backup-simplify]: Simplify (/ 1 1) into 1
4.920 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.920 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.920 * [taylor]: Taking taylor expansion of a1 in a2
4.920 * [backup-simplify]: Simplify a1 into a1
4.920 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.921 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.921 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.921 * [taylor]: Taking taylor expansion of a2 in a1
4.921 * [backup-simplify]: Simplify a2 into a2
4.921 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.921 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.921 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.921 * [taylor]: Taking taylor expansion of a1 in a1
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 1 into 1
4.922 * [backup-simplify]: Simplify (* 1 1) into 1
4.922 * [backup-simplify]: Simplify (/ 1 1) into 1
4.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.922 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.922 * [taylor]: Taking taylor expansion of a2 in a1
4.922 * [backup-simplify]: Simplify a2 into a2
4.922 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.922 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.922 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.922 * [taylor]: Taking taylor expansion of a1 in a1
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 1 into 1
4.923 * [backup-simplify]: Simplify (* 1 1) into 1
4.923 * [backup-simplify]: Simplify (/ 1 1) into 1
4.924 * [backup-simplify]: Simplify (+ 0 1) into 1
4.924 * [taylor]: Taking taylor expansion of 1 in a2
4.924 * [backup-simplify]: Simplify 1 into 1
4.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.926 * [backup-simplify]: Simplify (+ 0 0) into 0
4.926 * [taylor]: Taking taylor expansion of 0 in a2
4.926 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.928 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.928 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.928 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.928 * [taylor]: Taking taylor expansion of a2 in a2
4.928 * [backup-simplify]: Simplify 0 into 0
4.928 * [backup-simplify]: Simplify 1 into 1
4.928 * [backup-simplify]: Simplify (* 1 1) into 1
4.929 * [backup-simplify]: Simplify (/ 1 1) into 1
4.929 * [backup-simplify]: Simplify 1 into 1
4.929 * [backup-simplify]: Simplify 1 into 1
4.929 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (+ 0 0) into 0
4.932 * [taylor]: Taking taylor expansion of 0 in a2
4.932 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.937 * [backup-simplify]: Simplify (+ 0 0) into 0
4.937 * [taylor]: Taking taylor expansion of 0 in a2
4.937 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
4.941 * * * [progress]: simplifying candidates
4.958 * [simplify]: Simplifying:
  (- (- (log (sqrt 2.0)) (log (cos th))) (log (+ (* a1 a1) (* a2 a2))))
  (- (log (/ (sqrt 2.0) (cos th))) (log (+ (* a1 a1) (* a2 a2))))
  (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (+ (* 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))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (* (* (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (+ (* a1 a1) (* a2 a2)))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* 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))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) 1)
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) 1)
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* 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))) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* 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))) (sqrt (cos th))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (+ (* 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))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (+ (* 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))) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (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))) (sqrt (cos th))) 1)
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (+ (* 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 (* (cbrt 2.0) (cbrt 2.0))) 1) 1)
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (* (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)) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1)
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) 1) (* (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)) 1) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) 1) 1)
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (+ (* 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) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* 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) (sqrt (cos th))) 1)
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt 1) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) 1) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 1) 1) 1)
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (* (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)) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1)
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) 1) (* (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)) 1) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) 1) 1)
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (+ (* 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 (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ 1 (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* 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 (sqrt (cos th))) 1)
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ 1 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 1) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 1) 1)
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 1)
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) 1)
  (/ (/ 1 (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) 1)
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (/ (/ (sqrt 2.0) (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (* (+ (* a1 a1) (* a2 a2)) (cos th))
  (- 1)
  (- (- (- (log (sqrt 2.0)) (log (cos th))) (log (+ (* a1 a1) (* a2 a2)))))
  (- (- (log (/ (sqrt 2.0) (cos th))) (log (+ (* a1 a1) (* a2 a2)))))
  (- (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (- 0 (- (- (log (sqrt 2.0)) (log (cos th))) (log (+ (* a1 a1) (* a2 a2)))))
  (- 0 (- (log (/ (sqrt 2.0) (cos th))) (log (+ (* a1 a1) (* a2 a2)))))
  (- 0 (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (- (log 1) (- (- (log (sqrt 2.0)) (log (cos th))) (log (+ (* a1 a1) (* a2 a2)))))
  (- (log 1) (- (log (/ (sqrt 2.0) (cos th))) (log (+ (* a1 a1) (* a2 a2)))))
  (- (log 1) (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (log (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (exp (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (/ (* (* 1 1) 1) (/ (/ (* (* (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)))))
  (/ (* (* 1 1) 1) (/ (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))))
  (/ (* (* 1 1) 1) (* (* (/ (/ (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)))))
  (* (cbrt (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))) (cbrt (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))))
  (cbrt (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (* (* (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (- 1)
  (- (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt 1) (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
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  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 1) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 1) 1) 1))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (sqrt 2.0) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ 1 (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (sqrt (cos th))) 1))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ 1 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 1) 1))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ 1 (cos th)) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (sqrt 2.0) 1))
  (/ 1 (/ (/ 1 (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ 1 1)
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (/ 1 (/ 1 (+ (* a1 a1) (* a2 a2))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (/ 1 (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (/ 1 (- (* a1 a1) (* a2 a2)))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) 1)
  (/ 1 (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (sqrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) 1))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) 1))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) 1))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) 1))
  (/ 1 (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (sqrt 1) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 1) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 1) (sqrt (cos th))) 1))
  (/ 1 (/ (/ (sqrt 1) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt 1) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt 1) 1) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) 1))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) 1) 1))
  (/ 1 (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) 1))
  (/ 1 (/ (/ 1 (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ 1 (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 (sqrt (cos th))) 1))
  (/ 1 (/ (/ 1 1) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (/ 1 1) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (/ 1 1) 1))
  (/ 1 (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ 1 (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (/ (sqrt 2.0) 1))
  (/ 1 1)
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (/ 1 (/ (/ (sqrt 2.0) (cos th)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) (cbrt 1))
  (/ (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) (sqrt 1))
  (/ (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) 1)
  (/ 1 (/ (sqrt 2.0) (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))
  (* (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))
  0
  0
  0
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
4.983 * * [simplify]: iteration 0: 608 enodes
5.780 * * [simplify]: iteration 1: 1816 enodes
6.343 * * [simplify]: iteration complete: 5000 enodes
6.344 * * [simplify]: Extracting #0: cost 281 inf + 0
6.350 * * [simplify]: Extracting #1: cost 1681 inf + 3
6.362 * * [simplify]: Extracting #2: cost 2054 inf + 2019
6.376 * * [simplify]: Extracting #3: cost 2004 inf + 15015
6.396 * * [simplify]: Extracting #4: cost 1715 inf + 53693
6.441 * * [simplify]: Extracting #5: cost 1106 inf + 209104
6.536 * * [simplify]: Extracting #6: cost 363 inf + 457366
6.704 * * [simplify]: Extracting #7: cost 53 inf + 570563
6.882 * * [simplify]: Extracting #8: cost 4 inf + 590583
7.029 * * [simplify]: Extracting #9: cost 0 inf + 592477
7.176 * [simplify]: Simplified to:
  (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (exp (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (/ 2.0 (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (cos th) (* (cos th) (cos th)))))
  (* (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1)))))
  (* (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))) (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (cbrt (/ (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 (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (/ (- (sqrt 2.0)) (cos th))
  (- (+ (* a1 a1) (* a2 a2)))
  (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ 1 (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))))
  (/ (/ 1 (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ (/ 1 (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ 1 (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ 1 (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (/ (/ 1 (cbrt (cos th))) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th))))
  (/ (/ 1 (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (cos th)))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ (/ 1 (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ 1 (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ (/ 1 (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ 1 (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ 1 (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (+ (* a2 a2) (* a1 a1)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (/ (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (cos th))
  (/ (+ (* a2 a2) (* a1 a1)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2.0))) (cbrt (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cbrt (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cbrt (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2.0) (cos th)))
  (* (+ (* a2 a2) (* a1 a1)) (cos th))
  (/ (sqrt 2.0) (* (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (cos th)))
  (/ (sqrt 2.0) (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (cos th)))
  (* (+ (* a2 a2) (* a1 a1)) (cos th))
  -1
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (- (log (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (exp (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (/ 2.0 (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))) (/ (sqrt 2.0) (* (cos th) (* (cos th) (cos th))))))
  (/ 1 (* (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a2 a2) (* a1 a1))))))
  (/ (/ 1 (* (/ (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))))
  (* (cbrt (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))) (cbrt (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))))
  (cbrt (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1))) (* (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1))) (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))))
  (sqrt (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1))))
  (sqrt (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1))))
  -1
  (/ (/ (- (sqrt 2.0)) (cos th)) (+ (* a2 a2) (* a1 a1)))
  (/ (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))) (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ 1 (cbrt (/ (sqrt 2.0) (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (cbrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (/ 1 (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt 2.0))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (/ 1 (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt 2.0))
  (* (+ (* a2 a2) (* a1 a1)) (cos th))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (/ 1 (/ (sqrt 2.0) (* (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (cos th))))
  (/ 1 (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (/ 1 (* (+ a1 a2) (- a1 a2)))
  (/ (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))) (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ 1 (cbrt (/ (sqrt 2.0) (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (cbrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (/ 1 (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt 2.0))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (/ 1 (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt 2.0))
  (* (+ (* a2 a2) (* a1 a1)) (cos th))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (/ 1 (/ (sqrt 2.0) (* (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (cos th))))
  (/ 1 (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (/ 1 (* (+ a1 a2) (- a1 a2)))
  (/ (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))) (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (* (/ 1 (cbrt (/ (sqrt 2.0) (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (cbrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ 1 (/ (cbrt (sqrt 2.0)) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (/ 1 (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (/ 1 (fabs (cbrt 2.0))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (sqrt (cbrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ 1 (/ (sqrt (cbrt 2.0)) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th)))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cbrt (cos th)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (sqrt (cos th)))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (+ (* a2 a2) (* a1 a1)) (cos th))))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ 1 (/ (sqrt 2.0) (cbrt (cos th)))) (+ (* a2 a2) (* a1 a1)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (/ (sqrt 2.0) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (/ 1 (/ (/ (sqrt 2.0) (sqrt (cos th))) (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt 2.0) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (* (/ 1 (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (* (/ 1 (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt 2.0))
  (* (+ (* a2 a2) (* a1 a1)) (cos th))
  1
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (/ 1 (/ (sqrt 2.0) (* (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (cos th))))
  (/ 1 (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))))
  (* (/ 1 (sqrt 2.0)) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (/ 1 (* (+ a1 a2) (- a1 a2)))
  (* (/ 1 (/ (sqrt 2.0) (cos th))) (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))
  (/ (/ 1 (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th))))) (cbrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (sqrt (/ (sqrt 2.0) (* (+ (* a2 a2) (* a1 a1)) (cos th)))))
  (/ 1 (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ 1 (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (sqrt (/ (sqrt 2.0) (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (* (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (* (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ 1 (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))))
  (/ 1 (/ (fabs (cbrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))))
  (/ 1 (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (fabs (cbrt 2.0)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  1
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))))
  (* (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (* (* (/ 1 (sqrt (sqrt 2.0))) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (* (sqrt (cos th)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cos th))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  1
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  1
  (* (* (/ 1 (sqrt 2.0)) (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (* (/ 1 (sqrt 2.0)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ 1 (sqrt 2.0))
  1
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ 1 (/ (sqrt 2.0) (* (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (cos th))))
  (* (/ 1 (sqrt 2.0)) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (/ (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)))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (/ 2.0 (/ (* (cos th) (* (cos th) (cos th))) (sqrt 2.0)))
  (* (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 (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (exp (+ (* a2 a2) (* a1 a1)))
  (log (+ (* a2 a2) (* a1 a1)))
  (exp (+ (* a2 a2) (* a1 a1)))
  (* (cbrt (+ (* a2 a2) (* a1 a1))) (cbrt (+ (* a2 a2) (* a1 a1))))
  (cbrt (+ (* a2 a2) (* a1 a1)))
  (* (* (+ (* a2 a2) (* a1 a1)) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (+ (* (* a2 a2) (* (* a2 a2) (* a2 a2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (+ (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (- (* a2 a2) (* a1 a1))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (* (+ a1 a2) (- a1 a2))
  0
  0
  0
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (/ (cos th) (/ (sqrt 2.0) (* a2 a2))))
  (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (/ (cos th) (/ (sqrt 2.0) (* a2 a2))))
  (+ (+ (sqrt 2.0) (* (* th th) (* (sqrt 2.0) 1/2))) (* (* 5/24 (sqrt 2.0)) (* (* th th) (* th th))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
  (+ (* a2 a2) (* a1 a1))
7.231 * * * [progress]: adding candidates to table
10.291 * * [progress]: iteration 3 / 4
10.291 * * * [progress]: picking best candidate
10.351 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))>
10.351 * * * [progress]: localizing error
10.402 * * * [progress]: generating rewritten candidates
10.402 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
10.409 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
10.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
10.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
10.737 * * * [progress]: generating series expansions
10.737 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
10.737 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
10.737 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
10.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
10.737 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
10.737 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.737 * [taylor]: Taking taylor expansion of a2 in a2
10.737 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify 1 into 1
10.737 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.737 * [taylor]: Taking taylor expansion of a1 in a2
10.737 * [backup-simplify]: Simplify a1 into a1
10.737 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.737 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
10.737 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
10.737 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.738 * [backup-simplify]: Simplify (+ 0 0) into 0
10.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
10.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
10.738 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.738 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.738 * [taylor]: Taking taylor expansion of a2 in a1
10.738 * [backup-simplify]: Simplify a2 into a2
10.738 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.738 * [taylor]: Taking taylor expansion of a1 in a1
10.738 * [backup-simplify]: Simplify 0 into 0
10.738 * [backup-simplify]: Simplify 1 into 1
10.738 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.738 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.738 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
10.738 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.739 * [backup-simplify]: Simplify (+ 0 0) into 0
10.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
10.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
10.739 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.739 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.739 * [taylor]: Taking taylor expansion of a2 in a1
10.739 * [backup-simplify]: Simplify a2 into a2
10.739 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.739 * [taylor]: Taking taylor expansion of a1 in a1
10.739 * [backup-simplify]: Simplify 0 into 0
10.739 * [backup-simplify]: Simplify 1 into 1
10.739 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.739 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.739 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
10.739 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.740 * [backup-simplify]: Simplify (+ 0 0) into 0
10.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
10.740 * [taylor]: Taking taylor expansion of a2 in a2
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [taylor]: Taking taylor expansion of 0 in a2
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
10.740 * [backup-simplify]: Simplify (* 1 1) into 1
10.741 * [backup-simplify]: Simplify (+ 0 1) into 1
10.741 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
10.741 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
10.741 * [taylor]: Taking taylor expansion of 1/2 in a2
10.741 * [backup-simplify]: Simplify 1/2 into 1/2
10.741 * [taylor]: Taking taylor expansion of a2 in a2
10.741 * [backup-simplify]: Simplify 0 into 0
10.741 * [backup-simplify]: Simplify 1 into 1
10.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
10.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.743 * [backup-simplify]: Simplify (+ 0 0) into 0
10.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
10.743 * [taylor]: Taking taylor expansion of 0 in a2
10.743 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify 0 into 0
10.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.744 * [backup-simplify]: Simplify 0 into 0
10.744 * [backup-simplify]: Simplify 0 into 0
10.744 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
10.744 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.744 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
10.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
10.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
10.744 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
10.744 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.744 * [taylor]: Taking taylor expansion of a2 in a2
10.744 * [backup-simplify]: Simplify 0 into 0
10.745 * [backup-simplify]: Simplify 1 into 1
10.745 * [backup-simplify]: Simplify (* 1 1) into 1
10.745 * [backup-simplify]: Simplify (/ 1 1) into 1
10.745 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
10.745 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.745 * [taylor]: Taking taylor expansion of a1 in a2
10.745 * [backup-simplify]: Simplify a1 into a1
10.745 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.745 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.746 * [backup-simplify]: Simplify (+ 1 0) into 1
10.746 * [backup-simplify]: Simplify (sqrt 1) into 1
10.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.747 * [backup-simplify]: Simplify (+ 0 0) into 0
10.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.747 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.747 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.747 * [taylor]: Taking taylor expansion of a2 in a1
10.747 * [backup-simplify]: Simplify a2 into a2
10.747 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.747 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.748 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.748 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.748 * [taylor]: Taking taylor expansion of a1 in a1
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify 1 into 1
10.748 * [backup-simplify]: Simplify (* 1 1) into 1
10.748 * [backup-simplify]: Simplify (/ 1 1) into 1
10.748 * [backup-simplify]: Simplify (+ 0 1) into 1
10.749 * [backup-simplify]: Simplify (sqrt 1) into 1
10.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.750 * [backup-simplify]: Simplify (+ 0 0) into 0
10.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.750 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.750 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.750 * [taylor]: Taking taylor expansion of a2 in a1
10.750 * [backup-simplify]: Simplify a2 into a2
10.750 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.750 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.750 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.750 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.750 * [taylor]: Taking taylor expansion of a1 in a1
10.750 * [backup-simplify]: Simplify 0 into 0
10.750 * [backup-simplify]: Simplify 1 into 1
10.751 * [backup-simplify]: Simplify (* 1 1) into 1
10.751 * [backup-simplify]: Simplify (/ 1 1) into 1
10.751 * [backup-simplify]: Simplify (+ 0 1) into 1
10.751 * [backup-simplify]: Simplify (sqrt 1) into 1
10.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.752 * [backup-simplify]: Simplify (+ 0 0) into 0
10.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.753 * [taylor]: Taking taylor expansion of 1 in a2
10.753 * [backup-simplify]: Simplify 1 into 1
10.753 * [taylor]: Taking taylor expansion of 0 in a2
10.753 * [backup-simplify]: Simplify 0 into 0
10.753 * [backup-simplify]: Simplify 1 into 1
10.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.754 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
10.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
10.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
10.755 * [taylor]: Taking taylor expansion of 1/2 in a2
10.755 * [backup-simplify]: Simplify 1/2 into 1/2
10.755 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.755 * [taylor]: Taking taylor expansion of a2 in a2
10.755 * [backup-simplify]: Simplify 0 into 0
10.755 * [backup-simplify]: Simplify 1 into 1
10.755 * [backup-simplify]: Simplify (* 1 1) into 1
10.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.757 * [backup-simplify]: Simplify 0 into 0
10.757 * [backup-simplify]: Simplify 0 into 0
10.757 * [backup-simplify]: Simplify 0 into 0
10.757 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.758 * [backup-simplify]: Simplify (+ 0 0) into 0
10.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
10.759 * [taylor]: Taking taylor expansion of 0 in a2
10.759 * [backup-simplify]: Simplify 0 into 0
10.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.760 * [backup-simplify]: Simplify 0 into 0
10.760 * [backup-simplify]: Simplify 0 into 0
10.760 * [backup-simplify]: Simplify 0 into 0
10.760 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
10.760 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.760 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
10.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
10.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
10.760 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
10.760 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.760 * [taylor]: Taking taylor expansion of a2 in a2
10.760 * [backup-simplify]: Simplify 0 into 0
10.760 * [backup-simplify]: Simplify 1 into 1
10.760 * [backup-simplify]: Simplify (* 1 1) into 1
10.761 * [backup-simplify]: Simplify (/ 1 1) into 1
10.761 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
10.761 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.761 * [taylor]: Taking taylor expansion of a1 in a2
10.761 * [backup-simplify]: Simplify a1 into a1
10.761 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.761 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.762 * [backup-simplify]: Simplify (+ 1 0) into 1
10.762 * [backup-simplify]: Simplify (sqrt 1) into 1
10.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.764 * [backup-simplify]: Simplify (+ 0 0) into 0
10.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.765 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.765 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.765 * [taylor]: Taking taylor expansion of a2 in a1
10.765 * [backup-simplify]: Simplify a2 into a2
10.765 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.765 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.765 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.765 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.765 * [taylor]: Taking taylor expansion of a1 in a1
10.765 * [backup-simplify]: Simplify 0 into 0
10.765 * [backup-simplify]: Simplify 1 into 1
10.765 * [backup-simplify]: Simplify (* 1 1) into 1
10.766 * [backup-simplify]: Simplify (/ 1 1) into 1
10.766 * [backup-simplify]: Simplify (+ 0 1) into 1
10.766 * [backup-simplify]: Simplify (sqrt 1) into 1
10.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.768 * [backup-simplify]: Simplify (+ 0 0) into 0
10.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.769 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.769 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.769 * [taylor]: Taking taylor expansion of a2 in a1
10.769 * [backup-simplify]: Simplify a2 into a2
10.769 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.769 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.769 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.769 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.769 * [taylor]: Taking taylor expansion of a1 in a1
10.769 * [backup-simplify]: Simplify 0 into 0
10.769 * [backup-simplify]: Simplify 1 into 1
10.770 * [backup-simplify]: Simplify (* 1 1) into 1
10.770 * [backup-simplify]: Simplify (/ 1 1) into 1
10.771 * [backup-simplify]: Simplify (+ 0 1) into 1
10.771 * [backup-simplify]: Simplify (sqrt 1) into 1
10.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.773 * [backup-simplify]: Simplify (+ 0 0) into 0
10.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.773 * [taylor]: Taking taylor expansion of 1 in a2
10.773 * [backup-simplify]: Simplify 1 into 1
10.773 * [taylor]: Taking taylor expansion of 0 in a2
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 1 into 1
10.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.776 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
10.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
10.778 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
10.778 * [taylor]: Taking taylor expansion of 1/2 in a2
10.778 * [backup-simplify]: Simplify 1/2 into 1/2
10.778 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.778 * [taylor]: Taking taylor expansion of a2 in a2
10.778 * [backup-simplify]: Simplify 0 into 0
10.778 * [backup-simplify]: Simplify 1 into 1
10.779 * [backup-simplify]: Simplify (* 1 1) into 1
10.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.783 * [backup-simplify]: Simplify (+ 0 0) into 0
10.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
10.784 * [taylor]: Taking taylor expansion of 0 in a2
10.784 * [backup-simplify]: Simplify 0 into 0
10.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
10.786 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
10.787 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (* a2 a2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
10.787 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
10.787 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
10.787 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
10.787 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.787 * [taylor]: Taking taylor expansion of a2 in a2
10.787 * [backup-simplify]: Simplify 0 into 0
10.787 * [backup-simplify]: Simplify 1 into 1
10.787 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.787 * [taylor]: Taking taylor expansion of a1 in a2
10.787 * [backup-simplify]: Simplify a1 into a1
10.787 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.787 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
10.787 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
10.787 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.788 * [backup-simplify]: Simplify (+ 0 0) into 0
10.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
10.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
10.788 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.788 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.788 * [taylor]: Taking taylor expansion of a2 in a1
10.788 * [backup-simplify]: Simplify a2 into a2
10.788 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.788 * [taylor]: Taking taylor expansion of a1 in a1
10.788 * [backup-simplify]: Simplify 0 into 0
10.788 * [backup-simplify]: Simplify 1 into 1
10.788 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.788 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.789 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
10.789 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.789 * [backup-simplify]: Simplify (+ 0 0) into 0
10.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
10.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
10.789 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.789 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.789 * [taylor]: Taking taylor expansion of a2 in a1
10.789 * [backup-simplify]: Simplify a2 into a2
10.789 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.789 * [taylor]: Taking taylor expansion of a1 in a1
10.790 * [backup-simplify]: Simplify 0 into 0
10.790 * [backup-simplify]: Simplify 1 into 1
10.790 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.790 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.790 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
10.790 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.790 * [backup-simplify]: Simplify (+ 0 0) into 0
10.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
10.791 * [taylor]: Taking taylor expansion of a2 in a2
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 1 into 1
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [taylor]: Taking taylor expansion of 0 in a2
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 1 into 1
10.791 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
10.792 * [backup-simplify]: Simplify (* 1 1) into 1
10.792 * [backup-simplify]: Simplify (+ 0 1) into 1
10.793 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
10.793 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
10.793 * [taylor]: Taking taylor expansion of 1/2 in a2
10.793 * [backup-simplify]: Simplify 1/2 into 1/2
10.793 * [taylor]: Taking taylor expansion of a2 in a2
10.793 * [backup-simplify]: Simplify 0 into 0
10.793 * [backup-simplify]: Simplify 1 into 1
10.793 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.795 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
10.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.796 * [backup-simplify]: Simplify (+ 0 0) into 0
10.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
10.796 * [taylor]: Taking taylor expansion of 0 in a2
10.796 * [backup-simplify]: Simplify 0 into 0
10.797 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
10.798 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.798 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
10.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
10.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
10.798 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
10.798 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.798 * [taylor]: Taking taylor expansion of a2 in a2
10.798 * [backup-simplify]: Simplify 0 into 0
10.798 * [backup-simplify]: Simplify 1 into 1
10.799 * [backup-simplify]: Simplify (* 1 1) into 1
10.799 * [backup-simplify]: Simplify (/ 1 1) into 1
10.799 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
10.799 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.799 * [taylor]: Taking taylor expansion of a1 in a2
10.799 * [backup-simplify]: Simplify a1 into a1
10.799 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.799 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.800 * [backup-simplify]: Simplify (+ 1 0) into 1
10.800 * [backup-simplify]: Simplify (sqrt 1) into 1
10.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.802 * [backup-simplify]: Simplify (+ 0 0) into 0
10.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.803 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.803 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.803 * [taylor]: Taking taylor expansion of a2 in a1
10.803 * [backup-simplify]: Simplify a2 into a2
10.803 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.803 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.803 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.803 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.803 * [taylor]: Taking taylor expansion of a1 in a1
10.803 * [backup-simplify]: Simplify 0 into 0
10.803 * [backup-simplify]: Simplify 1 into 1
10.804 * [backup-simplify]: Simplify (* 1 1) into 1
10.804 * [backup-simplify]: Simplify (/ 1 1) into 1
10.804 * [backup-simplify]: Simplify (+ 0 1) into 1
10.805 * [backup-simplify]: Simplify (sqrt 1) into 1
10.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.807 * [backup-simplify]: Simplify (+ 0 0) into 0
10.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.807 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.807 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.807 * [taylor]: Taking taylor expansion of a2 in a1
10.807 * [backup-simplify]: Simplify a2 into a2
10.808 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.808 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.808 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.808 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.808 * [taylor]: Taking taylor expansion of a1 in a1
10.808 * [backup-simplify]: Simplify 0 into 0
10.808 * [backup-simplify]: Simplify 1 into 1
10.808 * [backup-simplify]: Simplify (* 1 1) into 1
10.809 * [backup-simplify]: Simplify (/ 1 1) into 1
10.809 * [backup-simplify]: Simplify (+ 0 1) into 1
10.809 * [backup-simplify]: Simplify (sqrt 1) into 1
10.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.811 * [backup-simplify]: Simplify (+ 0 0) into 0
10.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.812 * [taylor]: Taking taylor expansion of 1 in a2
10.812 * [backup-simplify]: Simplify 1 into 1
10.812 * [taylor]: Taking taylor expansion of 0 in a2
10.812 * [backup-simplify]: Simplify 0 into 0
10.812 * [backup-simplify]: Simplify 1 into 1
10.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.814 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
10.815 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
10.815 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
10.815 * [taylor]: Taking taylor expansion of 1/2 in a2
10.815 * [backup-simplify]: Simplify 1/2 into 1/2
10.815 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.815 * [taylor]: Taking taylor expansion of a2 in a2
10.815 * [backup-simplify]: Simplify 0 into 0
10.815 * [backup-simplify]: Simplify 1 into 1
10.816 * [backup-simplify]: Simplify (* 1 1) into 1
10.816 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.818 * [backup-simplify]: Simplify 0 into 0
10.818 * [backup-simplify]: Simplify 0 into 0
10.818 * [backup-simplify]: Simplify 0 into 0
10.818 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.820 * [backup-simplify]: Simplify (+ 0 0) into 0
10.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
10.821 * [taylor]: Taking taylor expansion of 0 in a2
10.821 * [backup-simplify]: Simplify 0 into 0
10.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.823 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
10.823 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2))))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
10.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
10.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
10.824 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
10.824 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.824 * [taylor]: Taking taylor expansion of a2 in a2
10.824 * [backup-simplify]: Simplify 0 into 0
10.824 * [backup-simplify]: Simplify 1 into 1
10.824 * [backup-simplify]: Simplify (* 1 1) into 1
10.825 * [backup-simplify]: Simplify (/ 1 1) into 1
10.825 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
10.825 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.825 * [taylor]: Taking taylor expansion of a1 in a2
10.825 * [backup-simplify]: Simplify a1 into a1
10.825 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.825 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.825 * [backup-simplify]: Simplify (+ 1 0) into 1
10.826 * [backup-simplify]: Simplify (sqrt 1) into 1
10.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.827 * [backup-simplify]: Simplify (+ 0 0) into 0
10.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.828 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.828 * [taylor]: Taking taylor expansion of a2 in a1
10.828 * [backup-simplify]: Simplify a2 into a2
10.828 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.829 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.829 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.829 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.829 * [taylor]: Taking taylor expansion of a1 in a1
10.829 * [backup-simplify]: Simplify 0 into 0
10.829 * [backup-simplify]: Simplify 1 into 1
10.829 * [backup-simplify]: Simplify (* 1 1) into 1
10.829 * [backup-simplify]: Simplify (/ 1 1) into 1
10.830 * [backup-simplify]: Simplify (+ 0 1) into 1
10.830 * [backup-simplify]: Simplify (sqrt 1) into 1
10.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.832 * [backup-simplify]: Simplify (+ 0 0) into 0
10.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.833 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.833 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.833 * [taylor]: Taking taylor expansion of a2 in a1
10.833 * [backup-simplify]: Simplify a2 into a2
10.833 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.833 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.833 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.833 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.833 * [taylor]: Taking taylor expansion of a1 in a1
10.833 * [backup-simplify]: Simplify 0 into 0
10.833 * [backup-simplify]: Simplify 1 into 1
10.833 * [backup-simplify]: Simplify (* 1 1) into 1
10.834 * [backup-simplify]: Simplify (/ 1 1) into 1
10.834 * [backup-simplify]: Simplify (+ 0 1) into 1
10.835 * [backup-simplify]: Simplify (sqrt 1) into 1
10.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.836 * [backup-simplify]: Simplify (+ 0 0) into 0
10.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.837 * [taylor]: Taking taylor expansion of 1 in a2
10.837 * [backup-simplify]: Simplify 1 into 1
10.837 * [taylor]: Taking taylor expansion of 0 in a2
10.837 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 1 into 1
10.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.847 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
10.848 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
10.848 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
10.848 * [taylor]: Taking taylor expansion of 1/2 in a2
10.848 * [backup-simplify]: Simplify 1/2 into 1/2
10.848 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.848 * [taylor]: Taking taylor expansion of a2 in a2
10.848 * [backup-simplify]: Simplify 0 into 0
10.848 * [backup-simplify]: Simplify 1 into 1
10.849 * [backup-simplify]: Simplify (* 1 1) into 1
10.849 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.853 * [backup-simplify]: Simplify (+ 0 0) into 0
10.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
10.854 * [taylor]: Taking taylor expansion of 0 in a2
10.854 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.856 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
10.856 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
10.857 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) into (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))
10.857 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in (th a1 a2) around 0
10.857 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a2
10.857 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a2
10.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.857 * [taylor]: Taking taylor expansion of 2.0 in a2
10.857 * [backup-simplify]: Simplify 2.0 into 2.0
10.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.858 * [taylor]: Taking taylor expansion of (cos th) in a2
10.858 * [taylor]: Taking taylor expansion of th in a2
10.858 * [backup-simplify]: Simplify th into th
10.858 * [backup-simplify]: Simplify (cos th) into (cos th)
10.858 * [backup-simplify]: Simplify (sin th) into (sin th)
10.858 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
10.858 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.859 * [backup-simplify]: Simplify (- 0) into 0
10.859 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
10.859 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
10.859 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a2
10.859 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a2
10.859 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
10.859 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.859 * [taylor]: Taking taylor expansion of a2 in a2
10.859 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify 1 into 1
10.859 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.859 * [taylor]: Taking taylor expansion of a1 in a2
10.859 * [backup-simplify]: Simplify a1 into a1
10.860 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.860 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
10.860 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.860 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a1 2))) into (/ 1 a1)
10.860 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.860 * [backup-simplify]: Simplify (+ 0 0) into 0
10.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
10.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a1 2))))) into 0
10.861 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
10.861 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in a1
10.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.861 * [taylor]: Taking taylor expansion of 2.0 in a1
10.861 * [backup-simplify]: Simplify 2.0 into 2.0
10.861 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.862 * [taylor]: Taking taylor expansion of (cos th) in a1
10.862 * [taylor]: Taking taylor expansion of th in a1
10.862 * [backup-simplify]: Simplify th into th
10.862 * [backup-simplify]: Simplify (cos th) into (cos th)
10.862 * [backup-simplify]: Simplify (sin th) into (sin th)
10.862 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
10.862 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.862 * [backup-simplify]: Simplify (- 0) into 0
10.862 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
10.862 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
10.862 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
10.862 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
10.862 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.862 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.862 * [taylor]: Taking taylor expansion of a2 in a1
10.862 * [backup-simplify]: Simplify a2 into a2
10.862 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.862 * [taylor]: Taking taylor expansion of a1 in a1
10.862 * [backup-simplify]: Simplify 0 into 0
10.862 * [backup-simplify]: Simplify 1 into 1
10.863 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.863 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.863 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.863 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
10.863 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.863 * [backup-simplify]: Simplify (+ 0 0) into 0
10.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
10.863 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
10.863 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
10.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.863 * [taylor]: Taking taylor expansion of 2.0 in th
10.864 * [backup-simplify]: Simplify 2.0 into 2.0
10.864 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.864 * [taylor]: Taking taylor expansion of (cos th) in th
10.864 * [taylor]: Taking taylor expansion of th in th
10.864 * [backup-simplify]: Simplify 0 into 0
10.864 * [backup-simplify]: Simplify 1 into 1
10.865 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
10.865 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
10.865 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
10.865 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.865 * [taylor]: Taking taylor expansion of a2 in th
10.865 * [backup-simplify]: Simplify a2 into a2
10.865 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.865 * [taylor]: Taking taylor expansion of a1 in th
10.865 * [backup-simplify]: Simplify a1 into a1
10.865 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.865 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.865 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
10.865 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
10.866 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
10.866 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.866 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.866 * [backup-simplify]: Simplify (+ 0 0) into 0
10.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
10.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
10.866 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos th)) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in th
10.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
10.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.866 * [taylor]: Taking taylor expansion of 2.0 in th
10.866 * [backup-simplify]: Simplify 2.0 into 2.0
10.867 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.867 * [taylor]: Taking taylor expansion of (cos th) in th
10.867 * [taylor]: Taking taylor expansion of th in th
10.867 * [backup-simplify]: Simplify 0 into 0
10.867 * [backup-simplify]: Simplify 1 into 1
10.868 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in th
10.868 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in th
10.868 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
10.868 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.868 * [taylor]: Taking taylor expansion of a2 in th
10.868 * [backup-simplify]: Simplify a2 into a2
10.868 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.868 * [taylor]: Taking taylor expansion of a1 in th
10.868 * [backup-simplify]: Simplify a1 into a1
10.868 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.868 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.868 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
10.868 * [backup-simplify]: Simplify (/ 1 (+ (pow a2 2) (pow a1 2))) into (/ 1 (+ (pow a2 2) (pow a1 2)))
10.868 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) into (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))
10.869 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.869 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.869 * [backup-simplify]: Simplify (+ 0 0) into 0
10.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
10.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
10.870 * [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)))))
10.870 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
10.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.870 * [taylor]: Taking taylor expansion of 2.0 in a1
10.870 * [backup-simplify]: Simplify 2.0 into 2.0
10.870 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
10.871 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
10.871 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.871 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.871 * [taylor]: Taking taylor expansion of a2 in a1
10.871 * [backup-simplify]: Simplify a2 into a2
10.871 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.871 * [taylor]: Taking taylor expansion of a1 in a1
10.871 * [backup-simplify]: Simplify 0 into 0
10.871 * [backup-simplify]: Simplify 1 into 1
10.871 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.871 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.871 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.871 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
10.871 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.871 * [backup-simplify]: Simplify (+ 0 0) into 0
10.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
10.872 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
10.872 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
10.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.872 * [taylor]: Taking taylor expansion of 2.0 in a2
10.872 * [backup-simplify]: Simplify 2.0 into 2.0
10.872 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.873 * [taylor]: Taking taylor expansion of a2 in a2
10.873 * [backup-simplify]: Simplify 0 into 0
10.873 * [backup-simplify]: Simplify 1 into 1
10.873 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.874 * [backup-simplify]: Simplify 0 into 0
10.874 * [backup-simplify]: Simplify (+ 0) into 0
10.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.875 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
10.875 * [taylor]: Taking taylor expansion of 0 in a1
10.875 * [backup-simplify]: Simplify 0 into 0
10.875 * [taylor]: Taking taylor expansion of 0 in a2
10.875 * [backup-simplify]: Simplify 0 into 0
10.875 * [backup-simplify]: Simplify 0 into 0
10.876 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (/ 1 a2))) into 0
10.876 * [taylor]: Taking taylor expansion of 0 in a2
10.876 * [backup-simplify]: Simplify 0 into 0
10.876 * [backup-simplify]: Simplify 0 into 0
10.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.877 * [backup-simplify]: Simplify 0 into 0
10.878 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
10.878 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
10.878 * [backup-simplify]: Simplify (+ 0 0) into 0
10.879 * [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
10.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) into 0
10.880 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.880 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
10.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
10.885 * [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))))))
10.885 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))))) in a1
10.885 * [taylor]: Taking taylor expansion of 1/2 in a1
10.885 * [backup-simplify]: Simplify 1/2 into 1/2
10.885 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (pow a2 2) (pow a1 2))))) in a1
10.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.885 * [taylor]: Taking taylor expansion of 2.0 in a1
10.885 * [backup-simplify]: Simplify 2.0 into 2.0
10.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow a2 2) (pow a1 2)))) in a1
10.886 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow a2 2) (pow a1 2))) in a1
10.886 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.886 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.886 * [taylor]: Taking taylor expansion of a2 in a1
10.886 * [backup-simplify]: Simplify a2 into a2
10.886 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.886 * [taylor]: Taking taylor expansion of a1 in a1
10.886 * [backup-simplify]: Simplify 0 into 0
10.886 * [backup-simplify]: Simplify 1 into 1
10.886 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.886 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.886 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.886 * [backup-simplify]: Simplify (sqrt (/ 1 (pow a2 2))) into (/ 1 a2)
10.886 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.887 * [backup-simplify]: Simplify (+ 0 0) into 0
10.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow a2 2))))) into 0
10.887 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 a2)) into (/ (sqrt 2.0) a2)
10.888 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 2.0) a2)) into (* 1/2 (/ (sqrt 2.0) a2))
10.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) a2)) in a2
10.888 * [taylor]: Taking taylor expansion of 1/2 in a2
10.888 * [backup-simplify]: Simplify 1/2 into 1/2
10.888 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) a2) in a2
10.888 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.888 * [taylor]: Taking taylor expansion of 2.0 in a2
10.888 * [backup-simplify]: Simplify 2.0 into 2.0
10.888 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.888 * [taylor]: Taking taylor expansion of a2 in a2
10.888 * [backup-simplify]: Simplify 0 into 0
10.888 * [backup-simplify]: Simplify 1 into 1
10.889 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
10.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
10.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [taylor]: Taking taylor expansion of 0 in a2
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) into (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
10.892 * [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
10.892 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
10.892 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
10.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.892 * [taylor]: Taking taylor expansion of 2.0 in a2
10.892 * [backup-simplify]: Simplify 2.0 into 2.0
10.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.894 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
10.894 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
10.894 * [taylor]: Taking taylor expansion of th in a2
10.894 * [backup-simplify]: Simplify th into th
10.894 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.894 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.894 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.894 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
10.894 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
10.894 * [backup-simplify]: Simplify (- 0) into 0
10.895 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
10.895 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
10.895 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
10.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
10.895 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
10.895 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.895 * [taylor]: Taking taylor expansion of a2 in a2
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify 1 into 1
10.896 * [backup-simplify]: Simplify (* 1 1) into 1
10.896 * [backup-simplify]: Simplify (/ 1 1) into 1
10.896 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
10.896 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.896 * [taylor]: Taking taylor expansion of a1 in a2
10.896 * [backup-simplify]: Simplify a1 into a1
10.896 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.896 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.897 * [backup-simplify]: Simplify (+ 1 0) into 1
10.897 * [backup-simplify]: Simplify (/ 1 1) into 1
10.898 * [backup-simplify]: Simplify (sqrt 1) into 1
10.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.899 * [backup-simplify]: Simplify (+ 0 0) into 0
10.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.901 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
10.901 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
10.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.901 * [taylor]: Taking taylor expansion of 2.0 in a1
10.901 * [backup-simplify]: Simplify 2.0 into 2.0
10.901 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.902 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
10.902 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
10.902 * [taylor]: Taking taylor expansion of th in a1
10.902 * [backup-simplify]: Simplify th into th
10.902 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.902 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.902 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.903 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
10.903 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
10.903 * [backup-simplify]: Simplify (- 0) into 0
10.903 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
10.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
10.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.904 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.904 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.904 * [taylor]: Taking taylor expansion of a2 in a1
10.904 * [backup-simplify]: Simplify a2 into a2
10.904 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.904 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.904 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.904 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.904 * [taylor]: Taking taylor expansion of a1 in a1
10.904 * [backup-simplify]: Simplify 0 into 0
10.904 * [backup-simplify]: Simplify 1 into 1
10.905 * [backup-simplify]: Simplify (* 1 1) into 1
10.905 * [backup-simplify]: Simplify (/ 1 1) into 1
10.905 * [backup-simplify]: Simplify (+ 0 1) into 1
10.905 * [backup-simplify]: Simplify (/ 1 1) into 1
10.905 * [backup-simplify]: Simplify (sqrt 1) into 1
10.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.907 * [backup-simplify]: Simplify (+ 0 0) into 0
10.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.907 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
10.907 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
10.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.908 * [taylor]: Taking taylor expansion of 2.0 in th
10.908 * [backup-simplify]: Simplify 2.0 into 2.0
10.908 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.908 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
10.908 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.908 * [taylor]: Taking taylor expansion of th in th
10.908 * [backup-simplify]: Simplify 0 into 0
10.908 * [backup-simplify]: Simplify 1 into 1
10.909 * [backup-simplify]: Simplify (/ 1 1) into 1
10.909 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.909 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
10.909 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
10.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
10.909 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
10.909 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.909 * [taylor]: Taking taylor expansion of a2 in th
10.909 * [backup-simplify]: Simplify a2 into a2
10.909 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.909 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.909 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
10.909 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.909 * [taylor]: Taking taylor expansion of a1 in th
10.909 * [backup-simplify]: Simplify a1 into a1
10.909 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.909 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.910 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
10.910 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.910 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
10.910 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.910 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
10.911 * [backup-simplify]: Simplify (+ 0 0) into 0
10.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.911 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
10.911 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
10.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.911 * [taylor]: Taking taylor expansion of 2.0 in th
10.911 * [backup-simplify]: Simplify 2.0 into 2.0
10.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.912 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
10.912 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.912 * [taylor]: Taking taylor expansion of th in th
10.912 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify 1 into 1
10.912 * [backup-simplify]: Simplify (/ 1 1) into 1
10.912 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.913 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
10.913 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
10.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
10.913 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
10.913 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.913 * [taylor]: Taking taylor expansion of a2 in th
10.913 * [backup-simplify]: Simplify a2 into a2
10.913 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.913 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.913 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
10.913 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.913 * [taylor]: Taking taylor expansion of a1 in th
10.913 * [backup-simplify]: Simplify a1 into a1
10.913 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.913 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.913 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
10.914 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.914 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
10.914 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.914 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
10.914 * [backup-simplify]: Simplify (+ 0 0) into 0
10.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.916 * [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))))))
10.916 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
10.916 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a1
10.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.916 * [taylor]: Taking taylor expansion of 2.0 in a1
10.916 * [backup-simplify]: Simplify 2.0 into 2.0
10.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.916 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
10.916 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
10.916 * [taylor]: Taking taylor expansion of th in a1
10.916 * [backup-simplify]: Simplify th into th
10.916 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.917 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.917 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.917 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
10.917 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
10.917 * [backup-simplify]: Simplify (- 0) into 0
10.917 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
10.917 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
10.918 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.918 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.918 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.918 * [taylor]: Taking taylor expansion of a2 in a1
10.918 * [backup-simplify]: Simplify a2 into a2
10.918 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.918 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.918 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.918 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.918 * [taylor]: Taking taylor expansion of a1 in a1
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify 1 into 1
10.918 * [backup-simplify]: Simplify (* 1 1) into 1
10.918 * [backup-simplify]: Simplify (/ 1 1) into 1
10.919 * [backup-simplify]: Simplify (+ 0 1) into 1
10.919 * [backup-simplify]: Simplify (/ 1 1) into 1
10.919 * [backup-simplify]: Simplify (sqrt 1) into 1
10.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.920 * [backup-simplify]: Simplify (+ 0 0) into 0
10.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.922 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ 1 th))) 1) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.922 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
10.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.922 * [taylor]: Taking taylor expansion of 2.0 in a2
10.922 * [backup-simplify]: Simplify 2.0 into 2.0
10.922 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.922 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
10.922 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
10.922 * [taylor]: Taking taylor expansion of th in a2
10.922 * [backup-simplify]: Simplify th into th
10.922 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.923 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.923 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.923 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
10.923 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
10.923 * [backup-simplify]: Simplify (- 0) into 0
10.923 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
10.923 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
10.924 * [backup-simplify]: Simplify (+ 0) into 0
10.924 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
10.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
10.925 * [backup-simplify]: Simplify (- 0) into 0
10.925 * [backup-simplify]: Simplify (+ 0 0) into 0
10.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
10.926 * [backup-simplify]: Simplify 0 into 0
10.926 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
10.927 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.927 * [taylor]: Taking taylor expansion of 0 in a1
10.927 * [backup-simplify]: Simplify 0 into 0
10.927 * [taylor]: Taking taylor expansion of 0 in a2
10.927 * [backup-simplify]: Simplify 0 into 0
10.927 * [backup-simplify]: Simplify 0 into 0
10.927 * [backup-simplify]: Simplify (+ 0) into 0
10.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
10.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
10.928 * [backup-simplify]: Simplify (- 0) into 0
10.929 * [backup-simplify]: Simplify (+ 0 0) into 0
10.929 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
10.929 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) 0) (* 0 1)) into 0
10.930 * [taylor]: Taking taylor expansion of 0 in a2
10.930 * [backup-simplify]: Simplify 0 into 0
10.930 * [backup-simplify]: Simplify 0 into 0
10.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
10.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
10.932 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
10.932 * [backup-simplify]: Simplify (- 0) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.933 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
10.933 * [backup-simplify]: Simplify 0 into 0
10.934 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
10.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
10.935 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
10.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
10.935 * [backup-simplify]: Simplify (+ 0 0) into 0
10.936 * [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
10.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.937 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.937 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
10.938 * [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
10.938 * [taylor]: Taking taylor expansion of 0 in a1
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [taylor]: Taking taylor expansion of 0 in a2
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [taylor]: Taking taylor expansion of 0 in a2
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 0 into 0
10.939 * [backup-simplify]: Simplify (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) into (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
10.939 * [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
10.939 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
10.939 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
10.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.939 * [taylor]: Taking taylor expansion of 2.0 in a2
10.939 * [backup-simplify]: Simplify 2.0 into 2.0
10.939 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.940 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
10.940 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
10.940 * [taylor]: Taking taylor expansion of -1 in a2
10.940 * [backup-simplify]: Simplify -1 into -1
10.940 * [taylor]: Taking taylor expansion of th in a2
10.940 * [backup-simplify]: Simplify th into th
10.940 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.940 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.940 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.940 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
10.940 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
10.940 * [backup-simplify]: Simplify (- 0) into 0
10.940 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
10.941 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
10.941 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
10.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
10.941 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
10.941 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.941 * [taylor]: Taking taylor expansion of a2 in a2
10.941 * [backup-simplify]: Simplify 0 into 0
10.941 * [backup-simplify]: Simplify 1 into 1
10.941 * [backup-simplify]: Simplify (* 1 1) into 1
10.941 * [backup-simplify]: Simplify (/ 1 1) into 1
10.941 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
10.941 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.941 * [taylor]: Taking taylor expansion of a1 in a2
10.942 * [backup-simplify]: Simplify a1 into a1
10.942 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.942 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.942 * [backup-simplify]: Simplify (+ 1 0) into 1
10.942 * [backup-simplify]: Simplify (/ 1 1) into 1
10.942 * [backup-simplify]: Simplify (sqrt 1) into 1
10.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.944 * [backup-simplify]: Simplify (+ 0 0) into 0
10.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.944 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
10.944 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
10.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.944 * [taylor]: Taking taylor expansion of 2.0 in a1
10.944 * [backup-simplify]: Simplify 2.0 into 2.0
10.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.945 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
10.945 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
10.945 * [taylor]: Taking taylor expansion of -1 in a1
10.945 * [backup-simplify]: Simplify -1 into -1
10.945 * [taylor]: Taking taylor expansion of th in a1
10.945 * [backup-simplify]: Simplify th into th
10.945 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.945 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.945 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.945 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
10.946 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
10.946 * [backup-simplify]: Simplify (- 0) into 0
10.946 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
10.946 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
10.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.946 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.946 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.946 * [taylor]: Taking taylor expansion of a2 in a1
10.946 * [backup-simplify]: Simplify a2 into a2
10.946 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.946 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.946 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.946 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.946 * [taylor]: Taking taylor expansion of a1 in a1
10.946 * [backup-simplify]: Simplify 0 into 0
10.946 * [backup-simplify]: Simplify 1 into 1
10.947 * [backup-simplify]: Simplify (* 1 1) into 1
10.947 * [backup-simplify]: Simplify (/ 1 1) into 1
10.947 * [backup-simplify]: Simplify (+ 0 1) into 1
10.947 * [backup-simplify]: Simplify (/ 1 1) into 1
10.948 * [backup-simplify]: Simplify (sqrt 1) into 1
10.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.949 * [backup-simplify]: Simplify (+ 0 0) into 0
10.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.950 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
10.950 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
10.950 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.950 * [taylor]: Taking taylor expansion of 2.0 in th
10.950 * [backup-simplify]: Simplify 2.0 into 2.0
10.950 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.950 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
10.950 * [taylor]: Taking taylor expansion of (/ -1 th) in th
10.950 * [taylor]: Taking taylor expansion of -1 in th
10.950 * [backup-simplify]: Simplify -1 into -1
10.950 * [taylor]: Taking taylor expansion of th in th
10.950 * [backup-simplify]: Simplify 0 into 0
10.951 * [backup-simplify]: Simplify 1 into 1
10.951 * [backup-simplify]: Simplify (/ -1 1) into -1
10.951 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.951 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
10.951 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
10.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
10.951 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
10.951 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.951 * [taylor]: Taking taylor expansion of a2 in th
10.951 * [backup-simplify]: Simplify a2 into a2
10.951 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.951 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.951 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
10.951 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.952 * [taylor]: Taking taylor expansion of a1 in th
10.952 * [backup-simplify]: Simplify a1 into a1
10.952 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.952 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.952 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
10.952 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.952 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
10.952 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.953 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
10.959 * [backup-simplify]: Simplify (+ 0 0) into 0
10.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.960 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
10.960 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
10.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.960 * [taylor]: Taking taylor expansion of 2.0 in th
10.960 * [backup-simplify]: Simplify 2.0 into 2.0
10.961 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.962 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
10.962 * [taylor]: Taking taylor expansion of (/ -1 th) in th
10.962 * [taylor]: Taking taylor expansion of -1 in th
10.962 * [backup-simplify]: Simplify -1 into -1
10.962 * [taylor]: Taking taylor expansion of th in th
10.962 * [backup-simplify]: Simplify 0 into 0
10.962 * [backup-simplify]: Simplify 1 into 1
10.962 * [backup-simplify]: Simplify (/ -1 1) into -1
10.962 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.963 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
10.963 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
10.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
10.963 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
10.963 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.963 * [taylor]: Taking taylor expansion of a2 in th
10.963 * [backup-simplify]: Simplify a2 into a2
10.963 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.963 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.963 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
10.963 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.963 * [taylor]: Taking taylor expansion of a1 in th
10.963 * [backup-simplify]: Simplify a1 into a1
10.963 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.964 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
10.964 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
10.964 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
10.964 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
10.965 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
10.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
10.965 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
10.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
10.965 * [backup-simplify]: Simplify (+ 0 0) into 0
10.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.966 * [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))))))
10.966 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (cos (/ -1 th))) (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
10.966 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a1
10.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.966 * [taylor]: Taking taylor expansion of 2.0 in a1
10.966 * [backup-simplify]: Simplify 2.0 into 2.0
10.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.967 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
10.967 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
10.967 * [taylor]: Taking taylor expansion of -1 in a1
10.967 * [backup-simplify]: Simplify -1 into -1
10.967 * [taylor]: Taking taylor expansion of th in a1
10.967 * [backup-simplify]: Simplify th into th
10.967 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.967 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.967 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.967 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
10.968 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
10.968 * [backup-simplify]: Simplify (- 0) into 0
10.968 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
10.968 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
10.968 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
10.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
10.968 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
10.968 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.968 * [taylor]: Taking taylor expansion of a2 in a1
10.968 * [backup-simplify]: Simplify a2 into a2
10.968 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.968 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
10.968 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
10.968 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.968 * [taylor]: Taking taylor expansion of a1 in a1
10.968 * [backup-simplify]: Simplify 0 into 0
10.968 * [backup-simplify]: Simplify 1 into 1
10.969 * [backup-simplify]: Simplify (* 1 1) into 1
10.969 * [backup-simplify]: Simplify (/ 1 1) into 1
10.969 * [backup-simplify]: Simplify (+ 0 1) into 1
10.969 * [backup-simplify]: Simplify (/ 1 1) into 1
10.970 * [backup-simplify]: Simplify (sqrt 1) into 1
10.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.971 * [backup-simplify]: Simplify (+ 0 0) into 0
10.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.972 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (cos (/ -1 th))) 1) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.972 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
10.972 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.972 * [taylor]: Taking taylor expansion of 2.0 in a2
10.972 * [backup-simplify]: Simplify 2.0 into 2.0
10.972 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.973 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
10.973 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
10.973 * [taylor]: Taking taylor expansion of -1 in a2
10.973 * [backup-simplify]: Simplify -1 into -1
10.973 * [taylor]: Taking taylor expansion of th in a2
10.973 * [backup-simplify]: Simplify th into th
10.973 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.973 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.973 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.973 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
10.973 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
10.973 * [backup-simplify]: Simplify (- 0) into 0
10.973 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
10.974 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
10.974 * [backup-simplify]: Simplify (+ 0) into 0
10.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
10.974 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
10.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
10.975 * [backup-simplify]: Simplify (- 0) into 0
10.975 * [backup-simplify]: Simplify (+ 0 0) into 0
10.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
10.976 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
10.977 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.977 * [taylor]: Taking taylor expansion of 0 in a1
10.977 * [backup-simplify]: Simplify 0 into 0
10.977 * [taylor]: Taking taylor expansion of 0 in a2
10.977 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify (+ 0) into 0
10.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
10.978 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
10.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
10.979 * [backup-simplify]: Simplify (- 0) into 0
10.979 * [backup-simplify]: Simplify (+ 0 0) into 0
10.979 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
10.980 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) 0) (* 0 1)) into 0
10.980 * [taylor]: Taking taylor expansion of 0 in a2
10.980 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
10.982 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
10.982 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.982 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
10.983 * [backup-simplify]: Simplify (- 0) into 0
10.983 * [backup-simplify]: Simplify (+ 0 0) into 0
10.983 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
10.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
10.984 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
10.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
10.985 * [backup-simplify]: Simplify (+ 0 0) into 0
10.985 * [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
10.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))) into 0
10.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
10.987 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
10.988 * [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
10.988 * [taylor]: Taking taylor expansion of 0 in a1
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [taylor]: Taking taylor expansion of 0 in a2
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [taylor]: Taking taylor expansion of 0 in a2
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * [backup-simplify]: Simplify 0 into 0
10.988 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
10.989 * [backup-simplify]: Simplify (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) into (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th)))
10.989 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in (th a1 a2) around 0
10.989 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a2
10.989 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.989 * [taylor]: Taking taylor expansion of 2.0 in a2
10.989 * [backup-simplify]: Simplify 2.0 into 2.0
10.989 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.990 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
10.990 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
10.990 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
10.990 * [taylor]: Taking taylor expansion of a2 in a2
10.990 * [backup-simplify]: Simplify 0 into 0
10.990 * [backup-simplify]: Simplify 1 into 1
10.990 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
10.990 * [taylor]: Taking taylor expansion of a1 in a2
10.990 * [backup-simplify]: Simplify a1 into a1
10.990 * [taylor]: Taking taylor expansion of (cos th) in a2
10.990 * [taylor]: Taking taylor expansion of th in a2
10.990 * [backup-simplify]: Simplify th into th
10.990 * [backup-simplify]: Simplify (cos th) into (cos th)
10.990 * [backup-simplify]: Simplify (sin th) into (sin th)
10.990 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.990 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
10.990 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
10.990 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.990 * [backup-simplify]: Simplify (- 0) into 0
10.990 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
10.990 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
10.991 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (pow a1 2) (cos th))) into (/ (sqrt 2.0) (* (pow a1 2) (cos th)))
10.991 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in a1
10.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.991 * [taylor]: Taking taylor expansion of 2.0 in a1
10.991 * [backup-simplify]: Simplify 2.0 into 2.0
10.991 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.992 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
10.992 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.992 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.992 * [taylor]: Taking taylor expansion of a2 in a1
10.992 * [backup-simplify]: Simplify a2 into a2
10.992 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.992 * [taylor]: Taking taylor expansion of a1 in a1
10.992 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify 1 into 1
10.992 * [taylor]: Taking taylor expansion of (cos th) in a1
10.992 * [taylor]: Taking taylor expansion of th in a1
10.992 * [backup-simplify]: Simplify th into th
10.992 * [backup-simplify]: Simplify (cos th) into (cos th)
10.992 * [backup-simplify]: Simplify (sin th) into (sin th)
10.992 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.992 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.992 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
10.992 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.992 * [backup-simplify]: Simplify (- 0) into 0
10.992 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
10.992 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
10.993 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos th) (pow a2 2))) into (/ (sqrt 2.0) (* (cos th) (pow a2 2)))
10.993 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in th
10.993 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.993 * [taylor]: Taking taylor expansion of 2.0 in th
10.993 * [backup-simplify]: Simplify 2.0 into 2.0
10.993 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.994 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
10.994 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
10.994 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.994 * [taylor]: Taking taylor expansion of a2 in th
10.994 * [backup-simplify]: Simplify a2 into a2
10.994 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.994 * [taylor]: Taking taylor expansion of a1 in th
10.994 * [backup-simplify]: Simplify a1 into a1
10.994 * [taylor]: Taking taylor expansion of (cos th) in th
10.994 * [taylor]: Taking taylor expansion of th in th
10.994 * [backup-simplify]: Simplify 0 into 0
10.994 * [backup-simplify]: Simplify 1 into 1
10.994 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.994 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.994 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
10.994 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
10.995 * [backup-simplify]: Simplify (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) into (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2)))
10.995 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (+ (pow a2 2) (pow a1 2)) (cos th))) in th
10.995 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
10.995 * [taylor]: Taking taylor expansion of 2.0 in th
10.995 * [backup-simplify]: Simplify 2.0 into 2.0
10.995 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.995 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
10.995 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
10.995 * [taylor]: Taking taylor expansion of (pow a2 2) in th
10.995 * [taylor]: Taking taylor expansion of a2 in th
10.995 * [backup-simplify]: Simplify a2 into a2
10.995 * [taylor]: Taking taylor expansion of (pow a1 2) in th
10.995 * [taylor]: Taking taylor expansion of a1 in th
10.995 * [backup-simplify]: Simplify a1 into a1
10.995 * [taylor]: Taking taylor expansion of (cos th) in th
10.995 * [taylor]: Taking taylor expansion of th in th
10.995 * [backup-simplify]: Simplify 0 into 0
10.995 * [backup-simplify]: Simplify 1 into 1
10.996 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.996 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
10.996 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
10.996 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
10.996 * [backup-simplify]: Simplify (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) into (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2)))
10.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) in a1
10.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
10.996 * [taylor]: Taking taylor expansion of 2.0 in a1
10.996 * [backup-simplify]: Simplify 2.0 into 2.0
10.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
10.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
10.997 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
10.998 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
10.998 * [taylor]: Taking taylor expansion of a2 in a1
10.998 * [backup-simplify]: Simplify a2 into a2
10.998 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
10.998 * [taylor]: Taking taylor expansion of a1 in a1
10.998 * [backup-simplify]: Simplify 0 into 0
10.998 * [backup-simplify]: Simplify 1 into 1
10.998 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
10.998 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
10.998 * [backup-simplify]: Simplify (/ (sqrt 2.0) (pow a2 2)) into (/ (sqrt 2.0) (pow a2 2))
10.998 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow a2 2)) in a2
10.998 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
10.999 * [taylor]: Taking taylor expansion of 2.0 in a2
10.999 * [backup-simplify]: Simplify 2.0 into 2.0
10.999 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.000 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.000 * [taylor]: Taking taylor expansion of a2 in a2
11.000 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify 1 into 1
11.000 * [backup-simplify]: Simplify (* 1 1) into 1
11.001 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify (+ 0) into 0
11.006 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.006 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
11.007 * [backup-simplify]: Simplify (+ 0 0) into 0
11.008 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) 0) (* 0 1)) into 0
11.009 * [backup-simplify]: Simplify (- (/ 0 (+ (pow a2 2) (pow a1 2))) (+ (* (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ 0 (+ (pow a2 2) (pow a1 2)))))) into 0
11.009 * [taylor]: Taking taylor expansion of 0 in a1
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [taylor]: Taking taylor expansion of 0 in a2
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.010 * [backup-simplify]: Simplify (+ 0 0) into 0
11.010 * [backup-simplify]: Simplify (- (/ 0 (pow a2 2)) (+ (* (/ (sqrt 2.0) (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.010 * [taylor]: Taking taylor expansion of 0 in a2
11.010 * [backup-simplify]: Simplify 0 into 0
11.010 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.013 * [backup-simplify]: Simplify 0 into 0
11.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
11.015 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.015 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
11.015 * [backup-simplify]: Simplify (+ 0 0) into 0
11.016 * [backup-simplify]: Simplify (+ (* (+ (pow a2 2) (pow a1 2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2))))
11.017 * [backup-simplify]: Simplify (- (/ 0 (+ (pow a2 2) (pow a1 2))) (+ (* (/ (sqrt 2.0) (+ (pow a2 2) (pow a1 2))) (/ (- (+ (* 1/2 (pow a2 2)) (* 1/2 (pow a1 2)))) (+ (pow a2 2) (pow a1 2)))) (* 0 (/ 0 (+ (pow a2 2) (pow a1 2)))))) into (+ (* 1/2 (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) (* 1/2 (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))))
11.017 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) (* 1/2 (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2)))) in a1
11.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) in a1
11.017 * [taylor]: Taking taylor expansion of 1/2 in a1
11.017 * [backup-simplify]: Simplify 1/2 into 1/2
11.017 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow a2 2)) (pow (+ (pow a2 2) (pow a1 2)) 2)) in a1
11.017 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a1
11.017 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.017 * [taylor]: Taking taylor expansion of 2.0 in a1
11.018 * [backup-simplify]: Simplify 2.0 into 2.0
11.018 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.018 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.018 * [taylor]: Taking taylor expansion of a2 in a1
11.018 * [backup-simplify]: Simplify a2 into a2
11.018 * [taylor]: Taking taylor expansion of (pow (+ (pow a2 2) (pow a1 2)) 2) in a1
11.018 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.018 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.018 * [taylor]: Taking taylor expansion of a2 in a1
11.018 * [backup-simplify]: Simplify a2 into a2
11.018 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.018 * [taylor]: Taking taylor expansion of a1 in a1
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [backup-simplify]: Simplify 1 into 1
11.018 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.019 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.019 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.019 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
11.019 * [backup-simplify]: Simplify (* (pow a2 2) (pow a2 2)) into (pow a2 4)
11.019 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (pow a2 2)) (pow a2 4)) into (/ (sqrt 2.0) (pow a2 2))
11.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2))) in a1
11.019 * [taylor]: Taking taylor expansion of 1/2 in a1
11.019 * [backup-simplify]: Simplify 1/2 into 1/2
11.020 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow a1 2)) (pow (+ (pow a2 2) (pow a1 2)) 2)) in a1
11.020 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
11.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.020 * [taylor]: Taking taylor expansion of 2.0 in a1
11.020 * [backup-simplify]: Simplify 2.0 into 2.0
11.020 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.020 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.020 * [taylor]: Taking taylor expansion of a1 in a1
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 1 into 1
11.020 * [taylor]: Taking taylor expansion of (pow (+ (pow a2 2) (pow a1 2)) 2) in a1
11.020 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.020 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.020 * [taylor]: Taking taylor expansion of a2 in a1
11.020 * [backup-simplify]: Simplify a2 into a2
11.020 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.020 * [taylor]: Taking taylor expansion of a1 in a1
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 1 into 1
11.021 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.021 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.021 * [backup-simplify]: Simplify (* 1 1) into 1
11.021 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
11.022 * [backup-simplify]: Simplify (* (pow a2 2) (pow a2 2)) into (pow a2 4)
11.022 * [backup-simplify]: Simplify (/ (sqrt 2.0) (pow a2 4)) into (/ (sqrt 2.0) (pow a2 4))
11.022 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 2.0) (pow a2 2))) into (* 1/2 (/ (sqrt 2.0) (pow a2 2)))
11.023 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 2.0) (pow a2 2))) 0) into (* 1/2 (/ (sqrt 2.0) (pow a2 2)))
11.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow a2 2))) in a2
11.023 * [taylor]: Taking taylor expansion of 1/2 in a2
11.023 * [backup-simplify]: Simplify 1/2 into 1/2
11.023 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow a2 2)) in a2
11.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.023 * [taylor]: Taking taylor expansion of 2.0 in a2
11.023 * [backup-simplify]: Simplify 2.0 into 2.0
11.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.023 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.023 * [taylor]: Taking taylor expansion of a2 in a2
11.023 * [backup-simplify]: Simplify 0 into 0
11.023 * [backup-simplify]: Simplify 1 into 1
11.024 * [backup-simplify]: Simplify (* 1 1) into 1
11.024 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
11.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
11.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
11.028 * [backup-simplify]: Simplify 0 into 0
11.028 * [taylor]: Taking taylor expansion of 0 in a2
11.028 * [backup-simplify]: Simplify 0 into 0
11.028 * [backup-simplify]: Simplify 0 into 0
11.028 * [backup-simplify]: Simplify 0 into 0
11.029 * [backup-simplify]: Simplify (/ (/ (/ (sqrt 2.0) (cos (/ 1 th))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))))) into (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
11.029 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (th a1 a2) around 0
11.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
11.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.029 * [taylor]: Taking taylor expansion of 2.0 in a2
11.029 * [backup-simplify]: Simplify 2.0 into 2.0
11.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.029 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.029 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
11.029 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
11.029 * [taylor]: Taking taylor expansion of th in a2
11.029 * [backup-simplify]: Simplify th into th
11.029 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.030 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.030 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.030 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.030 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.030 * [taylor]: Taking taylor expansion of a2 in a2
11.030 * [backup-simplify]: Simplify 0 into 0
11.030 * [backup-simplify]: Simplify 1 into 1
11.030 * [backup-simplify]: Simplify (* 1 1) into 1
11.030 * [backup-simplify]: Simplify (/ 1 1) into 1
11.030 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.030 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.030 * [taylor]: Taking taylor expansion of a1 in a2
11.030 * [backup-simplify]: Simplify a1 into a1
11.030 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.030 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.030 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.031 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.031 * [backup-simplify]: Simplify (- 0) into 0
11.031 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.031 * [backup-simplify]: Simplify (+ 1 0) into 1
11.031 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.031 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
11.031 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
11.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.031 * [taylor]: Taking taylor expansion of 2.0 in a1
11.032 * [backup-simplify]: Simplify 2.0 into 2.0
11.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.032 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.032 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
11.032 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
11.032 * [taylor]: Taking taylor expansion of th in a1
11.032 * [backup-simplify]: Simplify th into th
11.032 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.032 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.032 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.032 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.032 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.032 * [taylor]: Taking taylor expansion of a2 in a1
11.033 * [backup-simplify]: Simplify a2 into a2
11.033 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.033 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.033 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.033 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.033 * [taylor]: Taking taylor expansion of a1 in a1
11.033 * [backup-simplify]: Simplify 0 into 0
11.033 * [backup-simplify]: Simplify 1 into 1
11.033 * [backup-simplify]: Simplify (* 1 1) into 1
11.033 * [backup-simplify]: Simplify (/ 1 1) into 1
11.033 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.033 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.034 * [backup-simplify]: Simplify (- 0) into 0
11.034 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.034 * [backup-simplify]: Simplify (+ 0 1) into 1
11.034 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.034 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
11.034 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
11.034 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.034 * [taylor]: Taking taylor expansion of 2.0 in th
11.034 * [backup-simplify]: Simplify 2.0 into 2.0
11.035 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.035 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
11.035 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
11.035 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.035 * [taylor]: Taking taylor expansion of th in th
11.035 * [backup-simplify]: Simplify 0 into 0
11.035 * [backup-simplify]: Simplify 1 into 1
11.035 * [backup-simplify]: Simplify (/ 1 1) into 1
11.036 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
11.036 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
11.036 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.036 * [taylor]: Taking taylor expansion of a2 in th
11.036 * [backup-simplify]: Simplify a2 into a2
11.036 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.036 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.036 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
11.036 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.036 * [taylor]: Taking taylor expansion of a1 in th
11.036 * [backup-simplify]: Simplify a1 into a1
11.036 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.036 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.036 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
11.036 * [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))))
11.037 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
11.037 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
11.037 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.037 * [taylor]: Taking taylor expansion of 2.0 in th
11.037 * [backup-simplify]: Simplify 2.0 into 2.0
11.037 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.038 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
11.038 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
11.038 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.038 * [taylor]: Taking taylor expansion of th in th
11.038 * [backup-simplify]: Simplify 0 into 0
11.038 * [backup-simplify]: Simplify 1 into 1
11.038 * [backup-simplify]: Simplify (/ 1 1) into 1
11.038 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
11.038 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
11.038 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.038 * [taylor]: Taking taylor expansion of a2 in th
11.038 * [backup-simplify]: Simplify a2 into a2
11.038 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.038 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.038 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
11.038 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.038 * [taylor]: Taking taylor expansion of a1 in th
11.038 * [backup-simplify]: Simplify a1 into a1
11.038 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.039 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.039 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
11.039 * [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))))
11.039 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
11.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
11.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.040 * [taylor]: Taking taylor expansion of 2.0 in a1
11.040 * [backup-simplify]: Simplify 2.0 into 2.0
11.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.040 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.040 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
11.040 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
11.040 * [taylor]: Taking taylor expansion of th in a1
11.040 * [backup-simplify]: Simplify th into th
11.040 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.040 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.041 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.041 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.041 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.041 * [taylor]: Taking taylor expansion of a2 in a1
11.041 * [backup-simplify]: Simplify a2 into a2
11.041 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.041 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.041 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.041 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.041 * [taylor]: Taking taylor expansion of a1 in a1
11.041 * [backup-simplify]: Simplify 0 into 0
11.041 * [backup-simplify]: Simplify 1 into 1
11.041 * [backup-simplify]: Simplify (* 1 1) into 1
11.042 * [backup-simplify]: Simplify (/ 1 1) into 1
11.042 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.042 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.042 * [backup-simplify]: Simplify (- 0) into 0
11.042 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.043 * [backup-simplify]: Simplify (+ 0 1) into 1
11.043 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.043 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
11.043 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in a2
11.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.044 * [taylor]: Taking taylor expansion of 2.0 in a2
11.044 * [backup-simplify]: Simplify 2.0 into 2.0
11.044 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.045 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
11.045 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
11.045 * [taylor]: Taking taylor expansion of th in a2
11.045 * [backup-simplify]: Simplify th into th
11.045 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.045 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.045 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.045 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.045 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.046 * [backup-simplify]: Simplify (- 0) into 0
11.046 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
11.046 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
11.047 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.049 * [backup-simplify]: Simplify (+ 0) into 0
11.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.050 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.052 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.052 * [backup-simplify]: Simplify (- 0) into 0
11.052 * [backup-simplify]: Simplify (+ 0 0) into 0
11.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
11.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
11.054 * [backup-simplify]: Simplify (- 0) into 0
11.054 * [backup-simplify]: Simplify (+ 0 0) into 0
11.055 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
11.055 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
11.056 * [backup-simplify]: Simplify 0 into 0
11.056 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.056 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
11.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
11.057 * [backup-simplify]: Simplify (+ 0 0) into 0
11.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
11.059 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
11.059 * [taylor]: Taking taylor expansion of 0 in a1
11.059 * [backup-simplify]: Simplify 0 into 0
11.059 * [taylor]: Taking taylor expansion of 0 in a2
11.059 * [backup-simplify]: Simplify 0 into 0
11.059 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.061 * [backup-simplify]: Simplify (+ 0 0) into 0
11.061 * [backup-simplify]: Simplify (+ 0) into 0
11.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
11.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
11.064 * [backup-simplify]: Simplify (- 0) into 0
11.064 * [backup-simplify]: Simplify (+ 0 0) into 0
11.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
11.065 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
11.065 * [taylor]: Taking taylor expansion of 0 in a2
11.065 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify 0 into 0
11.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.067 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.070 * [backup-simplify]: Simplify (- 0) into 0
11.070 * [backup-simplify]: Simplify (+ 0 0) into 0
11.071 * [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
11.071 * [backup-simplify]: Simplify 0 into 0
11.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.072 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
11.072 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
11.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
11.076 * [backup-simplify]: Simplify (+ 0 0) into 0
11.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
11.078 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) (* 0 (/ 0 (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
11.078 * [taylor]: Taking taylor expansion of 0 in a1
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [taylor]: Taking taylor expansion of 0 in a2
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [taylor]: Taking taylor expansion of 0 in a2
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify (/ (/ (/ (sqrt 2.0) (cos (/ 1 (- th)))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))))) into (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
11.079 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (th a1 a2) around 0
11.079 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
11.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.079 * [taylor]: Taking taylor expansion of 2.0 in a2
11.079 * [backup-simplify]: Simplify 2.0 into 2.0
11.079 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.080 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.080 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
11.080 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
11.080 * [taylor]: Taking taylor expansion of -1 in a2
11.080 * [backup-simplify]: Simplify -1 into -1
11.080 * [taylor]: Taking taylor expansion of th in a2
11.080 * [backup-simplify]: Simplify th into th
11.080 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.080 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.080 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.080 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.080 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.080 * [taylor]: Taking taylor expansion of a2 in a2
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 1 into 1
11.081 * [backup-simplify]: Simplify (* 1 1) into 1
11.081 * [backup-simplify]: Simplify (/ 1 1) into 1
11.081 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.081 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.081 * [taylor]: Taking taylor expansion of a1 in a2
11.081 * [backup-simplify]: Simplify a1 into a1
11.081 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.081 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.081 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.081 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
11.081 * [backup-simplify]: Simplify (- 0) into 0
11.081 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
11.082 * [backup-simplify]: Simplify (+ 1 0) into 1
11.082 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.082 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
11.082 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
11.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.082 * [taylor]: Taking taylor expansion of 2.0 in a1
11.082 * [backup-simplify]: Simplify 2.0 into 2.0
11.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.083 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.083 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
11.083 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
11.083 * [taylor]: Taking taylor expansion of -1 in a1
11.083 * [backup-simplify]: Simplify -1 into -1
11.083 * [taylor]: Taking taylor expansion of th in a1
11.083 * [backup-simplify]: Simplify th into th
11.083 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.083 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.083 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.083 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.083 * [taylor]: Taking taylor expansion of a2 in a1
11.083 * [backup-simplify]: Simplify a2 into a2
11.083 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.083 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.083 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.083 * [taylor]: Taking taylor expansion of a1 in a1
11.083 * [backup-simplify]: Simplify 0 into 0
11.083 * [backup-simplify]: Simplify 1 into 1
11.084 * [backup-simplify]: Simplify (* 1 1) into 1
11.084 * [backup-simplify]: Simplify (/ 1 1) into 1
11.084 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.084 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
11.084 * [backup-simplify]: Simplify (- 0) into 0
11.084 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
11.085 * [backup-simplify]: Simplify (+ 0 1) into 1
11.085 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.085 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
11.085 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
11.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.085 * [taylor]: Taking taylor expansion of 2.0 in th
11.085 * [backup-simplify]: Simplify 2.0 into 2.0
11.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.086 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
11.086 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
11.086 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.086 * [taylor]: Taking taylor expansion of -1 in th
11.086 * [backup-simplify]: Simplify -1 into -1
11.086 * [taylor]: Taking taylor expansion of th in th
11.086 * [backup-simplify]: Simplify 0 into 0
11.086 * [backup-simplify]: Simplify 1 into 1
11.086 * [backup-simplify]: Simplify (/ -1 1) into -1
11.086 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
11.086 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
11.086 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.086 * [taylor]: Taking taylor expansion of a2 in th
11.086 * [backup-simplify]: Simplify a2 into a2
11.086 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.087 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.087 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
11.087 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.087 * [taylor]: Taking taylor expansion of a1 in th
11.087 * [backup-simplify]: Simplify a1 into a1
11.087 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.087 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.087 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
11.087 * [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))))
11.088 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
11.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
11.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.088 * [taylor]: Taking taylor expansion of 2.0 in th
11.088 * [backup-simplify]: Simplify 2.0 into 2.0
11.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.088 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
11.088 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
11.088 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.088 * [taylor]: Taking taylor expansion of -1 in th
11.089 * [backup-simplify]: Simplify -1 into -1
11.089 * [taylor]: Taking taylor expansion of th in th
11.089 * [backup-simplify]: Simplify 0 into 0
11.089 * [backup-simplify]: Simplify 1 into 1
11.089 * [backup-simplify]: Simplify (/ -1 1) into -1
11.089 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
11.089 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
11.089 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.089 * [taylor]: Taking taylor expansion of a2 in th
11.089 * [backup-simplify]: Simplify a2 into a2
11.089 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.089 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.089 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
11.089 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.089 * [taylor]: Taking taylor expansion of a1 in th
11.089 * [backup-simplify]: Simplify a1 into a1
11.089 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.089 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.089 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
11.090 * [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))))
11.090 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
11.090 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
11.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.090 * [taylor]: Taking taylor expansion of 2.0 in a1
11.090 * [backup-simplify]: Simplify 2.0 into 2.0
11.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.091 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.091 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
11.091 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
11.091 * [taylor]: Taking taylor expansion of -1 in a1
11.091 * [backup-simplify]: Simplify -1 into -1
11.091 * [taylor]: Taking taylor expansion of th in a1
11.091 * [backup-simplify]: Simplify th into th
11.091 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.091 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.091 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.091 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.091 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.091 * [taylor]: Taking taylor expansion of a2 in a1
11.091 * [backup-simplify]: Simplify a2 into a2
11.091 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.091 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.091 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.091 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.091 * [taylor]: Taking taylor expansion of a1 in a1
11.092 * [backup-simplify]: Simplify 0 into 0
11.092 * [backup-simplify]: Simplify 1 into 1
11.092 * [backup-simplify]: Simplify (* 1 1) into 1
11.092 * [backup-simplify]: Simplify (/ 1 1) into 1
11.092 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.092 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
11.092 * [backup-simplify]: Simplify (- 0) into 0
11.092 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
11.093 * [backup-simplify]: Simplify (+ 0 1) into 1
11.093 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.093 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
11.093 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in a2
11.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.093 * [taylor]: Taking taylor expansion of 2.0 in a2
11.093 * [backup-simplify]: Simplify 2.0 into 2.0
11.093 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.094 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
11.094 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
11.094 * [taylor]: Taking taylor expansion of -1 in a2
11.094 * [backup-simplify]: Simplify -1 into -1
11.094 * [taylor]: Taking taylor expansion of th in a2
11.094 * [backup-simplify]: Simplify th into th
11.094 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.094 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.094 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.094 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
11.094 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
11.094 * [backup-simplify]: Simplify (- 0) into 0
11.095 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
11.095 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
11.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.096 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.096 * [backup-simplify]: Simplify (+ 0) into 0
11.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.097 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.097 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.098 * [backup-simplify]: Simplify (- 0) into 0
11.099 * [backup-simplify]: Simplify (+ 0 0) into 0
11.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
11.099 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
11.099 * [backup-simplify]: Simplify (- 0) into 0
11.100 * [backup-simplify]: Simplify (+ 0 0) into 0
11.100 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
11.100 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
11.101 * [backup-simplify]: Simplify 0 into 0
11.101 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.101 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
11.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
11.102 * [backup-simplify]: Simplify (+ 0 0) into 0
11.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) into 0
11.104 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
11.104 * [taylor]: Taking taylor expansion of 0 in a1
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [taylor]: Taking taylor expansion of 0 in a2
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [backup-simplify]: Simplify 0 into 0
11.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.106 * [backup-simplify]: Simplify (+ 0 0) into 0
11.106 * [backup-simplify]: Simplify (+ 0) into 0
11.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
11.107 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
11.108 * [backup-simplify]: Simplify (- 0) into 0
11.109 * [backup-simplify]: Simplify (+ 0 0) into 0
11.109 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
11.110 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
11.110 * [taylor]: Taking taylor expansion of 0 in a2
11.110 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify 0 into 0
11.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.112 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.113 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.116 * [backup-simplify]: Simplify (- 0) into 0
11.116 * [backup-simplify]: Simplify (+ 0 0) into 0
11.117 * [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
11.117 * [backup-simplify]: Simplify 0 into 0
11.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.119 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
11.120 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
11.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))) (* 0 (/ 0 (pow a1 2))))) into 0
11.121 * [backup-simplify]: Simplify (+ 0 0) into 0
11.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
11.123 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (+ (* (/ (sqrt 2.0) (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) (* 0 (/ 0 (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))))) into 0
11.123 * [taylor]: Taking taylor expansion of 0 in a1
11.123 * [backup-simplify]: Simplify 0 into 0
11.124 * [taylor]: Taking taylor expansion of 0 in a2
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * [taylor]: Taking taylor expansion of 0 in a2
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * [backup-simplify]: Simplify 0 into 0
11.124 * * * [progress]: simplifying candidates
11.184 * [simplify]: Simplifying:
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (- (- (log (sqrt 2.0)) (log (cos th))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))
  (- (log (/ (sqrt 2.0) (cos th))) (log (sqrt (+ (* a1 a1) (* a2 a2)))))
  (log (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (* (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt 1))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))) 1)
  (/ (cbrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt 1))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (/ (sqrt 2.0) (cos th))) 1)
  (/ (sqrt (/ (sqrt 2.0) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1)
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (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))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (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))))) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt 1)) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) 1) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1)
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 1)
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
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  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
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  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt 1))
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  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt 1)) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))) 1) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (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))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt 1)) 1)
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  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))) 1) 1)
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  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)) (sqrt 1))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 1)) 1)
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2))))
  a2
  a1
  (* -1 a1)
  a2
  a1
  (* -1 a1)
  0
  0
  0
  0
  0
  0
11.255 * * [simplify]: iteration 0: 1114 enodes
12.295 * * [simplify]: iteration 1: 2872 enodes
13.245 * * [simplify]: iteration complete: 5000 enodes
13.246 * * [simplify]: Extracting #0: cost 620 inf + 0
13.251 * * [simplify]: Extracting #1: cost 1645 inf + 46
13.257 * * [simplify]: Extracting #2: cost 1773 inf + 1992
13.265 * * [simplify]: Extracting #3: cost 1755 inf + 12837
13.288 * * [simplify]: Extracting #4: cost 1424 inf + 116628
13.360 * * [simplify]: Extracting #5: cost 470 inf + 519194
13.510 * * [simplify]: Extracting #6: cost 12 inf + 742513
13.728 * * [simplify]: Extracting #7: cost 0 inf + 748910
13.948 * [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))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  1
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))
  (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))))
  (sqrt (* (+ (* a1 a1) (* a2 a2)) (- (* a1 a1) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  1/2
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  1
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2)))))
  (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1))))
  (sqrt (* (+ (* a1 a1) (* a2 a2)) (- (* a1 a1) (* a2 a2))))
  (sqrt (- (* a1 a1) (* a2 a2)))
  1/2
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (log (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (log (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (exp (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (/ (* (/ (sqrt 2.0) (* (cos th) (cos th))) (/ 2.0 (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
  (/ (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))))
  (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (* (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (* (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))))
  (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (sqrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (- (/ (sqrt 2.0) (cos th)))
  (- (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (sqrt (+ (* 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 (cos th)))) (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (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 (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (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 (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cos th)))
  (/ (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)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (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 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (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)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cos th))
  (/ (* (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)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (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)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (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 (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (cbrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (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 (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (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)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (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 (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (/ (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)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (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)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (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)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (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)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* 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)) (cos th)) (sqrt (+ (* 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)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (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) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))
  (/ (/ (/ 1 (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cbrt (+ (* 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 (* (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) (* (sqrt (+ (* 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) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (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)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th)))
  (/ (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)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (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)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* 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)) (cos th)) (sqrt (+ (* 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)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (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) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))
  (/ (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))
  (/ (/ (/ 1 (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (cos th))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (sqrt (cbrt (+ (* 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 (* (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) (* (sqrt (+ (* 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) (* (sqrt (+ (* a1 a1) (* a2 a2))) (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) (* (sqrt (+ (* 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) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cos th))
  (/ (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))))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (cbrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (sqrt (cbrt 2.0)))
  (/ (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))) (cos th)) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (cbrt (cos th)))
  (/ (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))) (cos th)) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (cbrt (cos th)))
  (/ (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)))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (sqrt (* (+ (* a1 a1) (* a2 a2)) (- (* a1 a1) (* a2 a2))))) (cos th))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (log (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (exp (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ (* (/ (sqrt 2.0) (* (cos th) (cos th))) (/ 2.0 (cos th))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))))
  (* (/ (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))))
  (* (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (* (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))))
  (cbrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (* (* (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (sqrt (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2))))
  (/ (- (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (- (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (/ (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))))
  (/ (cbrt (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
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  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
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  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))))
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  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th))))
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  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
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  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (/ (cbrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
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  (/ (/ (cbrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (cbrt (+ (* 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))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (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))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (cbrt (+ (* 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))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (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))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (+ (* 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 (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 (+ (* a1 a1) (* a2 a2))))))
  (/ (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (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 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (cbrt (sqrt 2.0)) (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))))) (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)))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (* (/ (cbrt (sqrt 2.0)) (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))))) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (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)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (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)) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (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)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (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)) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (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)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (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)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (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))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (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))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (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))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (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))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (cbrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
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  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (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 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (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))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (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 (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (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))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (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)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
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  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
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  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
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  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
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  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th)))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (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)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cos th))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (fabs (cbrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (fabs (cbrt 2.0)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (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)) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (* (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (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)) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (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))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (fabs (cbrt 2.0))
  (/ (/ (sqrt (cbrt 2.0)) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (fabs (cbrt 2.0)) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (fabs (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (cbrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cos th))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (cbrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (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))) (sqrt (+ (* a1 a1) (* a2 a2))))
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  (/ (/ (sqrt 2.0) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt 2.0) (sqrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt 2.0) (sqrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
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  (/ (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
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  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
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  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
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  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
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  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
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  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
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  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (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))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (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 (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (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))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (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 (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (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))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th))) (sqrt (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 (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th))) (sqrt (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 (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th))) (sqrt (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 (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (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 (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (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))) (sqrt (+ (* a1 a1) (* a2 a2)))) (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 (+ (* 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 (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (+ (* 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 (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (cos th)) (cbrt (cos th))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (cos th))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (+ (* a1 a1) (* a2 a2))))
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  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ 1 (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt 2.0) (* (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (/ (/ 1 (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (* (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ 1 (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (/ 1 (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (sqrt 2.0)
  (/ (/ 1 (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ 1 (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ 1 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  1
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ (sqrt 2.0) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))))
  (/ 1 (* (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (cos th))
  (/ 1 (+ (* a1 a1) (* a2 a2)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ 1 (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (sqrt 2.0) (cos th))
  (/ 1 (+ (* a1 a1) (* a2 a2)))
  (/ (/ (/ (sqrt 2.0) (cos th)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))))
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  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt 2.0) (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (/ (sqrt 2.0) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2.0) (cos th)))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (* (cos th) (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 2.0) (cos th)))
  (+ (* a1 a1) (* a2 a2))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* (* a1 a1) (* a1 a1)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (- (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (+ (* (* a1 a1) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* (* a2 a2) (* a2 a2))))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (/ (/ (sqrt 2.0) (cos th)) (* (sqrt (* (+ (* a1 a1) (* a2 a2)) (- (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
  (+ (* a1 a1) (* a2 a2))
  a2
  a1
  (- a1)
  a2
  a1
  (- a1)
  0
  0
  0
  0
  0
  0
14.276 * * * [progress]: adding candidates to table
19.596 * * [progress]: iteration 4 / 4
19.596 * * * [progress]: picking best candidate
19.622 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
19.622 * * * [progress]: localizing error
19.667 * * * [progress]: generating rewritten candidates
19.667 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
19.692 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
19.709 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
19.743 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
19.795 * * * [progress]: generating series expansions
19.795 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
19.796 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.796 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
19.796 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
19.796 * [taylor]: Taking taylor expansion of (cos th) in th
19.796 * [taylor]: Taking taylor expansion of th in th
19.796 * [backup-simplify]: Simplify 0 into 0
19.796 * [backup-simplify]: Simplify 1 into 1
19.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.796 * [taylor]: Taking taylor expansion of 2.0 in th
19.796 * [backup-simplify]: Simplify 2.0 into 2.0
19.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.798 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.798 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
19.798 * [taylor]: Taking taylor expansion of (cos th) in th
19.798 * [taylor]: Taking taylor expansion of th in th
19.798 * [backup-simplify]: Simplify 0 into 0
19.798 * [backup-simplify]: Simplify 1 into 1
19.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.798 * [taylor]: Taking taylor expansion of 2.0 in th
19.798 * [backup-simplify]: Simplify 2.0 into 2.0
19.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.801 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.802 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.802 * [backup-simplify]: Simplify (+ 0) into 0
19.804 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.804 * [backup-simplify]: Simplify 0 into 0
19.805 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
19.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.809 * [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))))
19.812 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
19.813 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.816 * [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
19.816 * [backup-simplify]: Simplify 0 into 0
19.818 * [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
19.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.822 * [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)))
19.823 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
19.825 * [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))))
19.826 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.826 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
19.826 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
19.826 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.826 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.826 * [taylor]: Taking taylor expansion of th in th
19.826 * [backup-simplify]: Simplify 0 into 0
19.826 * [backup-simplify]: Simplify 1 into 1
19.826 * [backup-simplify]: Simplify (/ 1 1) into 1
19.826 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.826 * [taylor]: Taking taylor expansion of 2.0 in th
19.826 * [backup-simplify]: Simplify 2.0 into 2.0
19.827 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.827 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.827 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
19.827 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.827 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.827 * [taylor]: Taking taylor expansion of th in th
19.827 * [backup-simplify]: Simplify 0 into 0
19.827 * [backup-simplify]: Simplify 1 into 1
19.828 * [backup-simplify]: Simplify (/ 1 1) into 1
19.828 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.828 * [taylor]: Taking taylor expansion of 2.0 in th
19.828 * [backup-simplify]: Simplify 2.0 into 2.0
19.828 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.829 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.829 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.830 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.830 * [backup-simplify]: Simplify 0 into 0
19.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.832 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.832 * [backup-simplify]: Simplify 0 into 0
19.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.834 * [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
19.834 * [backup-simplify]: Simplify 0 into 0
19.835 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.837 * [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
19.837 * [backup-simplify]: Simplify 0 into 0
19.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.840 * [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
19.840 * [backup-simplify]: Simplify 0 into 0
19.841 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.844 * [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
19.844 * [backup-simplify]: Simplify 0 into 0
19.844 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.845 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.845 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
19.845 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
19.845 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.845 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.845 * [taylor]: Taking taylor expansion of -1 in th
19.845 * [backup-simplify]: Simplify -1 into -1
19.845 * [taylor]: Taking taylor expansion of th in th
19.845 * [backup-simplify]: Simplify 0 into 0
19.845 * [backup-simplify]: Simplify 1 into 1
19.845 * [backup-simplify]: Simplify (/ -1 1) into -1
19.845 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.845 * [taylor]: Taking taylor expansion of 2.0 in th
19.845 * [backup-simplify]: Simplify 2.0 into 2.0
19.846 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.846 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.846 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
19.846 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.846 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.846 * [taylor]: Taking taylor expansion of -1 in th
19.846 * [backup-simplify]: Simplify -1 into -1
19.846 * [taylor]: Taking taylor expansion of th in th
19.846 * [backup-simplify]: Simplify 0 into 0
19.846 * [backup-simplify]: Simplify 1 into 1
19.847 * [backup-simplify]: Simplify (/ -1 1) into -1
19.847 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.847 * [taylor]: Taking taylor expansion of 2.0 in th
19.847 * [backup-simplify]: Simplify 2.0 into 2.0
19.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.848 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.848 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.849 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.849 * [backup-simplify]: Simplify 0 into 0
19.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.853 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.853 * [backup-simplify]: Simplify 0 into 0
19.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.856 * [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
19.856 * [backup-simplify]: Simplify 0 into 0
19.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.859 * [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
19.859 * [backup-simplify]: Simplify 0 into 0
19.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.862 * [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
19.862 * [backup-simplify]: Simplify 0 into 0
19.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.866 * [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
19.866 * [backup-simplify]: Simplify 0 into 0
19.866 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
19.866 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.866 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
19.867 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
19.867 * [taylor]: Taking taylor expansion of (cos th) in th
19.867 * [taylor]: Taking taylor expansion of th in th
19.867 * [backup-simplify]: Simplify 0 into 0
19.867 * [backup-simplify]: Simplify 1 into 1
19.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.867 * [taylor]: Taking taylor expansion of 2.0 in th
19.867 * [backup-simplify]: Simplify 2.0 into 2.0
19.867 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.868 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.868 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
19.868 * [taylor]: Taking taylor expansion of (cos th) in th
19.868 * [taylor]: Taking taylor expansion of th in th
19.868 * [backup-simplify]: Simplify 0 into 0
19.868 * [backup-simplify]: Simplify 1 into 1
19.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.868 * [taylor]: Taking taylor expansion of 2.0 in th
19.868 * [backup-simplify]: Simplify 2.0 into 2.0
19.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.869 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.870 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.870 * [backup-simplify]: Simplify (+ 0) into 0
19.871 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.871 * [backup-simplify]: Simplify 0 into 0
19.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
19.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.874 * [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))))
19.875 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
19.876 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.878 * [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
19.878 * [backup-simplify]: Simplify 0 into 0
19.879 * [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
19.880 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.888 * [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)))
19.889 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
19.892 * [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))))
19.892 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.892 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
19.892 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
19.892 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.892 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.892 * [taylor]: Taking taylor expansion of th in th
19.892 * [backup-simplify]: Simplify 0 into 0
19.892 * [backup-simplify]: Simplify 1 into 1
19.892 * [backup-simplify]: Simplify (/ 1 1) into 1
19.892 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.892 * [taylor]: Taking taylor expansion of 2.0 in th
19.892 * [backup-simplify]: Simplify 2.0 into 2.0
19.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.893 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.893 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
19.893 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.894 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.894 * [taylor]: Taking taylor expansion of th in th
19.894 * [backup-simplify]: Simplify 0 into 0
19.894 * [backup-simplify]: Simplify 1 into 1
19.894 * [backup-simplify]: Simplify (/ 1 1) into 1
19.894 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.894 * [taylor]: Taking taylor expansion of 2.0 in th
19.894 * [backup-simplify]: Simplify 2.0 into 2.0
19.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.895 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.895 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.896 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.896 * [backup-simplify]: Simplify 0 into 0
19.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.898 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.898 * [backup-simplify]: Simplify 0 into 0
19.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.900 * [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
19.900 * [backup-simplify]: Simplify 0 into 0
19.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.903 * [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
19.903 * [backup-simplify]: Simplify 0 into 0
19.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.906 * [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
19.906 * [backup-simplify]: Simplify 0 into 0
19.907 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.910 * [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
19.910 * [backup-simplify]: Simplify 0 into 0
19.910 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.910 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.911 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
19.911 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
19.911 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.911 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.911 * [taylor]: Taking taylor expansion of -1 in th
19.911 * [backup-simplify]: Simplify -1 into -1
19.911 * [taylor]: Taking taylor expansion of th in th
19.911 * [backup-simplify]: Simplify 0 into 0
19.911 * [backup-simplify]: Simplify 1 into 1
19.911 * [backup-simplify]: Simplify (/ -1 1) into -1
19.911 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.911 * [taylor]: Taking taylor expansion of 2.0 in th
19.911 * [backup-simplify]: Simplify 2.0 into 2.0
19.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.912 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.912 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
19.912 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
19.912 * [taylor]: Taking taylor expansion of (/ -1 th) in th
19.912 * [taylor]: Taking taylor expansion of -1 in th
19.912 * [backup-simplify]: Simplify -1 into -1
19.912 * [taylor]: Taking taylor expansion of th in th
19.912 * [backup-simplify]: Simplify 0 into 0
19.912 * [backup-simplify]: Simplify 1 into 1
19.912 * [backup-simplify]: Simplify (/ -1 1) into -1
19.913 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
19.913 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.913 * [taylor]: Taking taylor expansion of 2.0 in th
19.913 * [backup-simplify]: Simplify 2.0 into 2.0
19.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.914 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.914 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
19.915 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.915 * [backup-simplify]: Simplify 0 into 0
19.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.917 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.917 * [backup-simplify]: Simplify 0 into 0
19.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.919 * [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
19.919 * [backup-simplify]: Simplify 0 into 0
19.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.922 * [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
19.922 * [backup-simplify]: Simplify 0 into 0
19.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.925 * [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
19.925 * [backup-simplify]: Simplify 0 into 0
19.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.929 * [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
19.929 * [backup-simplify]: Simplify 0 into 0
19.929 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
19.930 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
19.930 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
19.930 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
19.930 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
19.930 * [taylor]: Taking taylor expansion of (cos th) in a2
19.930 * [taylor]: Taking taylor expansion of th in a2
19.930 * [backup-simplify]: Simplify th into th
19.930 * [backup-simplify]: Simplify (cos th) into (cos th)
19.930 * [backup-simplify]: Simplify (sin th) into (sin th)
19.930 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.930 * [taylor]: Taking taylor expansion of a2 in a2
19.930 * [backup-simplify]: Simplify 0 into 0
19.930 * [backup-simplify]: Simplify 1 into 1
19.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.930 * [taylor]: Taking taylor expansion of 2.0 in a2
19.930 * [backup-simplify]: Simplify 2.0 into 2.0
19.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.931 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.931 * [backup-simplify]: Simplify (* (sin th) 0) into 0
19.931 * [backup-simplify]: Simplify (- 0) into 0
19.931 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
19.932 * [backup-simplify]: Simplify (* 1 1) into 1
19.932 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
19.932 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
19.932 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
19.932 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
19.932 * [taylor]: Taking taylor expansion of (cos th) in th
19.932 * [taylor]: Taking taylor expansion of th in th
19.932 * [backup-simplify]: Simplify 0 into 0
19.932 * [backup-simplify]: Simplify 1 into 1
19.932 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.932 * [taylor]: Taking taylor expansion of a2 in th
19.932 * [backup-simplify]: Simplify a2 into a2
19.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.932 * [taylor]: Taking taylor expansion of 2.0 in th
19.932 * [backup-simplify]: Simplify 2.0 into 2.0
19.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.933 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.933 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
19.933 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
19.933 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
19.933 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
19.933 * [taylor]: Taking taylor expansion of (cos th) in th
19.933 * [taylor]: Taking taylor expansion of th in th
19.933 * [backup-simplify]: Simplify 0 into 0
19.933 * [backup-simplify]: Simplify 1 into 1
19.933 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.933 * [taylor]: Taking taylor expansion of a2 in th
19.933 * [backup-simplify]: Simplify a2 into a2
19.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.933 * [taylor]: Taking taylor expansion of 2.0 in th
19.933 * [backup-simplify]: Simplify 2.0 into 2.0
19.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.934 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.934 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
19.935 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
19.935 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
19.935 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.935 * [taylor]: Taking taylor expansion of a2 in a2
19.935 * [backup-simplify]: Simplify 0 into 0
19.935 * [backup-simplify]: Simplify 1 into 1
19.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.935 * [taylor]: Taking taylor expansion of 2.0 in a2
19.935 * [backup-simplify]: Simplify 2.0 into 2.0
19.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.936 * [backup-simplify]: Simplify (* 1 1) into 1
19.936 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.937 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.937 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
19.937 * [backup-simplify]: Simplify (+ 0) into 0
19.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0
19.938 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.938 * [taylor]: Taking taylor expansion of 0 in a2
19.939 * [backup-simplify]: Simplify 0 into 0
19.939 * [backup-simplify]: Simplify 0 into 0
19.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.940 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.940 * [backup-simplify]: Simplify 0 into 0
19.940 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
19.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
19.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2)))
19.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.943 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2.0))))
19.943 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
19.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
19.943 * [taylor]: Taking taylor expansion of 1/2 in a2
19.943 * [backup-simplify]: Simplify 1/2 into 1/2
19.943 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
19.943 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.943 * [taylor]: Taking taylor expansion of a2 in a2
19.943 * [backup-simplify]: Simplify 0 into 0
19.943 * [backup-simplify]: Simplify 1 into 1
19.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.943 * [taylor]: Taking taylor expansion of 2.0 in a2
19.943 * [backup-simplify]: Simplify 2.0 into 2.0
19.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.944 * [backup-simplify]: Simplify (* 1 1) into 1
19.945 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
19.946 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
19.947 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
19.948 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
19.948 * [backup-simplify]: Simplify 0 into 0
19.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.950 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.950 * [backup-simplify]: Simplify 0 into 0
19.951 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
19.952 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0
19.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.955 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
19.955 * [taylor]: Taking taylor expansion of 0 in a2
19.955 * [backup-simplify]: Simplify 0 into 0
19.955 * [backup-simplify]: Simplify 0 into 0
19.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.956 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
19.957 * [backup-simplify]: Simplify (- 0) into 0
19.957 * [backup-simplify]: Simplify 0 into 0
19.957 * [backup-simplify]: Simplify 0 into 0
19.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.959 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.959 * [backup-simplify]: Simplify 0 into 0
19.962 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2.0)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2.0))))
19.962 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
19.962 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
19.962 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
19.962 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
19.962 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
19.962 * [taylor]: Taking taylor expansion of th in a2
19.962 * [backup-simplify]: Simplify th into th
19.962 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.962 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.962 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
19.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.962 * [taylor]: Taking taylor expansion of 2.0 in a2
19.962 * [backup-simplify]: Simplify 2.0 into 2.0
19.963 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.963 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.963 * [taylor]: Taking taylor expansion of a2 in a2
19.963 * [backup-simplify]: Simplify 0 into 0
19.963 * [backup-simplify]: Simplify 1 into 1
19.963 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.963 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.963 * [backup-simplify]: Simplify (- 0) into 0
19.964 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.964 * [backup-simplify]: Simplify (* 1 1) into 1
19.964 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
19.965 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.965 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
19.965 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.965 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.965 * [taylor]: Taking taylor expansion of th in th
19.965 * [backup-simplify]: Simplify 0 into 0
19.965 * [backup-simplify]: Simplify 1 into 1
19.965 * [backup-simplify]: Simplify (/ 1 1) into 1
19.965 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.965 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
19.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.965 * [taylor]: Taking taylor expansion of 2.0 in th
19.965 * [backup-simplify]: Simplify 2.0 into 2.0
19.966 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.966 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.966 * [taylor]: Taking taylor expansion of a2 in th
19.966 * [backup-simplify]: Simplify a2 into a2
19.966 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.966 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
19.967 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
19.967 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
19.967 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
19.967 * [taylor]: Taking taylor expansion of (/ 1 th) in th
19.967 * [taylor]: Taking taylor expansion of th in th
19.967 * [backup-simplify]: Simplify 0 into 0
19.967 * [backup-simplify]: Simplify 1 into 1
19.967 * [backup-simplify]: Simplify (/ 1 1) into 1
19.967 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
19.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
19.967 * [taylor]: Taking taylor expansion of 2.0 in th
19.967 * [backup-simplify]: Simplify 2.0 into 2.0
19.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.968 * [taylor]: Taking taylor expansion of (pow a2 2) in th
19.968 * [taylor]: Taking taylor expansion of a2 in th
19.968 * [backup-simplify]: Simplify a2 into a2
19.968 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
19.968 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
19.969 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
19.969 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
19.969 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
19.969 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
19.969 * [taylor]: Taking taylor expansion of th in a2
19.969 * [backup-simplify]: Simplify th into th
19.969 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
19.969 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
19.969 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
19.969 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
19.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
19.969 * [taylor]: Taking taylor expansion of 2.0 in a2
19.969 * [backup-simplify]: Simplify 2.0 into 2.0
19.969 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.970 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
19.970 * [taylor]: Taking taylor expansion of a2 in a2
19.970 * [backup-simplify]: Simplify 0 into 0
19.970 * [backup-simplify]: Simplify 1 into 1
19.970 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
19.970 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
19.970 * [backup-simplify]: Simplify (- 0) into 0
19.970 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
19.971 * [backup-simplify]: Simplify (* 1 1) into 1
19.971 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
19.971 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.972 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
19.972 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
19.976 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
19.977 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
19.978 * [taylor]: Taking taylor expansion of 0 in a2
19.978 * [backup-simplify]: Simplify 0 into 0
19.978 * [backup-simplify]: Simplify (+ 0) into 0
19.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
19.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
19.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
19.979 * [backup-simplify]: Simplify (- 0) into 0
19.979 * [backup-simplify]: Simplify (+ 0 0) into 0
19.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.980 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
19.981 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
19.981 * [backup-simplify]: Simplify 0 into 0
19.982 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
19.982 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.983 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
19.984 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
19.985 * [taylor]: Taking taylor expansion of 0 in a2
19.985 * [backup-simplify]: Simplify 0 into 0
19.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
19.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.986 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
19.987 * [backup-simplify]: Simplify (- 0) into 0
19.987 * [backup-simplify]: Simplify (+ 0 0) into 0
19.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.989 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
19.990 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
19.990 * [backup-simplify]: Simplify 0 into 0
19.991 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
19.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.992 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
19.994 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
19.994 * [taylor]: Taking taylor expansion of 0 in a2
19.994 * [backup-simplify]: Simplify 0 into 0
19.994 * [backup-simplify]: Simplify 0 into 0
19.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.995 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
19.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.997 * [backup-simplify]: Simplify (- 0) into 0
19.997 * [backup-simplify]: Simplify (+ 0 0) into 0
19.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.999 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.001 * [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
20.001 * [backup-simplify]: Simplify 0 into 0
20.002 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
20.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.003 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
20.005 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
20.005 * [taylor]: Taking taylor expansion of 0 in a2
20.005 * [backup-simplify]: Simplify 0 into 0
20.006 * [backup-simplify]: Simplify 0 into 0
20.006 * [backup-simplify]: Simplify 0 into 0
20.006 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
20.006 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
20.006 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
20.006 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
20.006 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
20.006 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
20.007 * [taylor]: Taking taylor expansion of -1 in a2
20.007 * [backup-simplify]: Simplify -1 into -1
20.007 * [taylor]: Taking taylor expansion of th in a2
20.007 * [backup-simplify]: Simplify th into th
20.007 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
20.007 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.007 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
20.007 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
20.007 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
20.007 * [taylor]: Taking taylor expansion of 2.0 in a2
20.007 * [backup-simplify]: Simplify 2.0 into 2.0
20.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.007 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
20.007 * [taylor]: Taking taylor expansion of a2 in a2
20.007 * [backup-simplify]: Simplify 0 into 0
20.008 * [backup-simplify]: Simplify 1 into 1
20.008 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
20.008 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
20.008 * [backup-simplify]: Simplify (- 0) into 0
20.008 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
20.008 * [backup-simplify]: Simplify (* 1 1) into 1
20.009 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
20.009 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
20.009 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
20.009 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
20.009 * [taylor]: Taking taylor expansion of (/ -1 th) in th
20.009 * [taylor]: Taking taylor expansion of -1 in th
20.009 * [backup-simplify]: Simplify -1 into -1
20.009 * [taylor]: Taking taylor expansion of th in th
20.009 * [backup-simplify]: Simplify 0 into 0
20.009 * [backup-simplify]: Simplify 1 into 1
20.009 * [backup-simplify]: Simplify (/ -1 1) into -1
20.009 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.010 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
20.010 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.010 * [taylor]: Taking taylor expansion of 2.0 in th
20.010 * [backup-simplify]: Simplify 2.0 into 2.0
20.010 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.010 * [taylor]: Taking taylor expansion of (pow a2 2) in th
20.010 * [taylor]: Taking taylor expansion of a2 in th
20.010 * [backup-simplify]: Simplify a2 into a2
20.010 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
20.011 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
20.011 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
20.011 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
20.011 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
20.011 * [taylor]: Taking taylor expansion of (/ -1 th) in th
20.011 * [taylor]: Taking taylor expansion of -1 in th
20.011 * [backup-simplify]: Simplify -1 into -1
20.011 * [taylor]: Taking taylor expansion of th in th
20.011 * [backup-simplify]: Simplify 0 into 0
20.011 * [backup-simplify]: Simplify 1 into 1
20.011 * [backup-simplify]: Simplify (/ -1 1) into -1
20.012 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.012 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
20.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.012 * [taylor]: Taking taylor expansion of 2.0 in th
20.012 * [backup-simplify]: Simplify 2.0 into 2.0
20.012 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.012 * [taylor]: Taking taylor expansion of (pow a2 2) in th
20.012 * [taylor]: Taking taylor expansion of a2 in th
20.012 * [backup-simplify]: Simplify a2 into a2
20.012 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
20.013 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
20.013 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
20.013 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
20.013 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
20.013 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
20.013 * [taylor]: Taking taylor expansion of -1 in a2
20.013 * [backup-simplify]: Simplify -1 into -1
20.013 * [taylor]: Taking taylor expansion of th in a2
20.013 * [backup-simplify]: Simplify th into th
20.013 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
20.013 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.013 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
20.014 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
20.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
20.014 * [taylor]: Taking taylor expansion of 2.0 in a2
20.014 * [backup-simplify]: Simplify 2.0 into 2.0
20.014 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.015 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
20.015 * [taylor]: Taking taylor expansion of a2 in a2
20.015 * [backup-simplify]: Simplify 0 into 0
20.015 * [backup-simplify]: Simplify 1 into 1
20.015 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
20.015 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
20.015 * [backup-simplify]: Simplify (- 0) into 0
20.015 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
20.015 * [backup-simplify]: Simplify (* 1 1) into 1
20.016 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
20.016 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
20.016 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
20.016 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
20.017 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
20.018 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
20.018 * [taylor]: Taking taylor expansion of 0 in a2
20.018 * [backup-simplify]: Simplify 0 into 0
20.018 * [backup-simplify]: Simplify (+ 0) into 0
20.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
20.019 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
20.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
20.020 * [backup-simplify]: Simplify (- 0) into 0
20.020 * [backup-simplify]: Simplify (+ 0 0) into 0
20.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.021 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
20.022 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
20.022 * [backup-simplify]: Simplify 0 into 0
20.022 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
20.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.023 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
20.025 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
20.025 * [taylor]: Taking taylor expansion of 0 in a2
20.025 * [backup-simplify]: Simplify 0 into 0
20.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
20.026 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.026 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
20.027 * [backup-simplify]: Simplify (- 0) into 0
20.027 * [backup-simplify]: Simplify (+ 0 0) into 0
20.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.029 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
20.032 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
20.032 * [backup-simplify]: Simplify 0 into 0
20.033 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
20.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.035 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
20.038 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
20.038 * [taylor]: Taking taylor expansion of 0 in a2
20.038 * [backup-simplify]: Simplify 0 into 0
20.038 * [backup-simplify]: Simplify 0 into 0
20.039 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.040 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.042 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.043 * [backup-simplify]: Simplify (- 0) into 0
20.043 * [backup-simplify]: Simplify (+ 0 0) into 0
20.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.046 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.048 * [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
20.048 * [backup-simplify]: Simplify 0 into 0
20.048 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
20.049 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.050 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
20.052 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a2 2)))))) into 0
20.052 * [taylor]: Taking taylor expansion of 0 in a2
20.052 * [backup-simplify]: Simplify 0 into 0
20.053 * [backup-simplify]: Simplify 0 into 0
20.053 * [backup-simplify]: Simplify 0 into 0
20.053 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
20.053 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
20.053 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
20.053 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
20.053 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
20.054 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
20.054 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.054 * [taylor]: Taking taylor expansion of a1 in a1
20.054 * [backup-simplify]: Simplify 0 into 0
20.054 * [backup-simplify]: Simplify 1 into 1
20.054 * [taylor]: Taking taylor expansion of (cos th) in a1
20.054 * [taylor]: Taking taylor expansion of th in a1
20.054 * [backup-simplify]: Simplify th into th
20.054 * [backup-simplify]: Simplify (cos th) into (cos th)
20.054 * [backup-simplify]: Simplify (sin th) into (sin th)
20.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.054 * [taylor]: Taking taylor expansion of 2.0 in a1
20.054 * [backup-simplify]: Simplify 2.0 into 2.0
20.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.055 * [backup-simplify]: Simplify (* 1 1) into 1
20.055 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
20.055 * [backup-simplify]: Simplify (* (sin th) 0) into 0
20.055 * [backup-simplify]: Simplify (- 0) into 0
20.055 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
20.055 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
20.055 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
20.055 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
20.055 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
20.056 * [taylor]: Taking taylor expansion of (pow a1 2) in th
20.056 * [taylor]: Taking taylor expansion of a1 in th
20.056 * [backup-simplify]: Simplify a1 into a1
20.056 * [taylor]: Taking taylor expansion of (cos th) in th
20.056 * [taylor]: Taking taylor expansion of th in th
20.056 * [backup-simplify]: Simplify 0 into 0
20.056 * [backup-simplify]: Simplify 1 into 1
20.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.056 * [taylor]: Taking taylor expansion of 2.0 in th
20.056 * [backup-simplify]: Simplify 2.0 into 2.0
20.056 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.056 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
20.057 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
20.057 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
20.057 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
20.057 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
20.057 * [taylor]: Taking taylor expansion of (pow a1 2) in th
20.057 * [taylor]: Taking taylor expansion of a1 in th
20.057 * [backup-simplify]: Simplify a1 into a1
20.057 * [taylor]: Taking taylor expansion of (cos th) in th
20.057 * [taylor]: Taking taylor expansion of th in th
20.057 * [backup-simplify]: Simplify 0 into 0
20.057 * [backup-simplify]: Simplify 1 into 1
20.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.057 * [taylor]: Taking taylor expansion of 2.0 in th
20.057 * [backup-simplify]: Simplify 2.0 into 2.0
20.057 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.058 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
20.058 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
20.058 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
20.058 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
20.058 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.058 * [taylor]: Taking taylor expansion of a1 in a1
20.058 * [backup-simplify]: Simplify 0 into 0
20.058 * [backup-simplify]: Simplify 1 into 1
20.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.058 * [taylor]: Taking taylor expansion of 2.0 in a1
20.058 * [backup-simplify]: Simplify 2.0 into 2.0
20.059 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.059 * [backup-simplify]: Simplify (* 1 1) into 1
20.060 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
20.060 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
20.061 * [backup-simplify]: Simplify (+ 0) into 0
20.061 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
20.061 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0
20.062 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
20.062 * [taylor]: Taking taylor expansion of 0 in a1
20.062 * [backup-simplify]: Simplify 0 into 0
20.062 * [backup-simplify]: Simplify 0 into 0
20.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.063 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
20.063 * [backup-simplify]: Simplify 0 into 0
20.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
20.065 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
20.065 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2)))
20.067 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.069 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2.0))))
20.069 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
20.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
20.069 * [taylor]: Taking taylor expansion of 1/2 in a1
20.069 * [backup-simplify]: Simplify 1/2 into 1/2
20.069 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
20.069 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.069 * [taylor]: Taking taylor expansion of a1 in a1
20.069 * [backup-simplify]: Simplify 0 into 0
20.069 * [backup-simplify]: Simplify 1 into 1
20.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.069 * [taylor]: Taking taylor expansion of 2.0 in a1
20.069 * [backup-simplify]: Simplify 2.0 into 2.0
20.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.071 * [backup-simplify]: Simplify (* 1 1) into 1
20.072 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
20.073 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
20.075 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
20.083 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
20.083 * [backup-simplify]: Simplify 0 into 0
20.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.085 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.087 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
20.087 * [backup-simplify]: Simplify 0 into 0
20.088 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.089 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
20.090 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
20.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.095 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) (/ 0 (sqrt 2.0))))) into 0
20.095 * [taylor]: Taking taylor expansion of 0 in a1
20.095 * [backup-simplify]: Simplify 0 into 0
20.095 * [backup-simplify]: Simplify 0 into 0
20.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.096 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
20.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
20.098 * [backup-simplify]: Simplify (- 0) into 0
20.098 * [backup-simplify]: Simplify 0 into 0
20.098 * [backup-simplify]: Simplify 0 into 0
20.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.102 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
20.102 * [backup-simplify]: Simplify 0 into 0
20.106 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2.0)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2.0))))
20.106 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a1) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
20.106 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in (th a1) around 0
20.106 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
20.106 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
20.106 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
20.106 * [taylor]: Taking taylor expansion of th in a1
20.106 * [backup-simplify]: Simplify th into th
20.107 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
20.107 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
20.107 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
20.107 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
20.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.107 * [taylor]: Taking taylor expansion of 2.0 in a1
20.107 * [backup-simplify]: Simplify 2.0 into 2.0
20.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.108 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.108 * [taylor]: Taking taylor expansion of a1 in a1
20.108 * [backup-simplify]: Simplify 0 into 0
20.108 * [backup-simplify]: Simplify 1 into 1
20.108 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
20.108 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
20.109 * [backup-simplify]: Simplify (- 0) into 0
20.109 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
20.109 * [backup-simplify]: Simplify (* 1 1) into 1
20.110 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
20.110 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
20.111 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
20.111 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
20.111 * [taylor]: Taking taylor expansion of (/ 1 th) in th
20.111 * [taylor]: Taking taylor expansion of th in th
20.111 * [backup-simplify]: Simplify 0 into 0
20.111 * [backup-simplify]: Simplify 1 into 1
20.111 * [backup-simplify]: Simplify (/ 1 1) into 1
20.111 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
20.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
20.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.111 * [taylor]: Taking taylor expansion of 2.0 in th
20.111 * [backup-simplify]: Simplify 2.0 into 2.0
20.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.112 * [taylor]: Taking taylor expansion of (pow a1 2) in th
20.112 * [taylor]: Taking taylor expansion of a1 in th
20.112 * [backup-simplify]: Simplify a1 into a1
20.113 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
20.113 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
20.114 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
20.114 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
20.114 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
20.114 * [taylor]: Taking taylor expansion of (/ 1 th) in th
20.114 * [taylor]: Taking taylor expansion of th in th
20.114 * [backup-simplify]: Simplify 0 into 0
20.114 * [backup-simplify]: Simplify 1 into 1
20.114 * [backup-simplify]: Simplify (/ 1 1) into 1
20.115 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
20.115 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
20.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.115 * [taylor]: Taking taylor expansion of 2.0 in th
20.115 * [backup-simplify]: Simplify 2.0 into 2.0
20.115 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.116 * [taylor]: Taking taylor expansion of (pow a1 2) in th
20.116 * [taylor]: Taking taylor expansion of a1 in th
20.116 * [backup-simplify]: Simplify a1 into a1
20.116 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
20.117 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
20.117 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
20.117 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
20.117 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
20.117 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
20.117 * [taylor]: Taking taylor expansion of th in a1
20.117 * [backup-simplify]: Simplify th into th
20.118 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
20.118 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
20.118 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
20.118 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
20.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.118 * [taylor]: Taking taylor expansion of 2.0 in a1
20.118 * [backup-simplify]: Simplify 2.0 into 2.0
20.118 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.119 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.119 * [taylor]: Taking taylor expansion of a1 in a1
20.119 * [backup-simplify]: Simplify 0 into 0
20.119 * [backup-simplify]: Simplify 1 into 1
20.119 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
20.119 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
20.120 * [backup-simplify]: Simplify (- 0) into 0
20.120 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
20.120 * [backup-simplify]: Simplify (* 1 1) into 1
20.121 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
20.122 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
20.122 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
20.122 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
20.123 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a1 2))) into 0
20.125 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.125 * [taylor]: Taking taylor expansion of 0 in a1
20.125 * [backup-simplify]: Simplify 0 into 0
20.125 * [backup-simplify]: Simplify (+ 0) into 0
20.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
20.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
20.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
20.127 * [backup-simplify]: Simplify (- 0) into 0
20.128 * [backup-simplify]: Simplify (+ 0 0) into 0
20.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.129 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
20.131 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
20.131 * [backup-simplify]: Simplify 0 into 0
20.131 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
20.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.134 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0
20.136 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.136 * [taylor]: Taking taylor expansion of 0 in a1
20.136 * [backup-simplify]: Simplify 0 into 0
20.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
20.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.139 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
20.140 * [backup-simplify]: Simplify (- 0) into 0
20.141 * [backup-simplify]: Simplify (+ 0 0) into 0
20.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
20.146 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
20.146 * [backup-simplify]: Simplify 0 into 0
20.147 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
20.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.150 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0
20.152 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.152 * [taylor]: Taking taylor expansion of 0 in a1
20.152 * [backup-simplify]: Simplify 0 into 0
20.153 * [backup-simplify]: Simplify 0 into 0
20.153 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.157 * [backup-simplify]: Simplify (- 0) into 0
20.158 * [backup-simplify]: Simplify (+ 0 0) into 0
20.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.162 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.165 * [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
20.165 * [backup-simplify]: Simplify 0 into 0
20.166 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
20.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.170 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0
20.173 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.173 * [taylor]: Taking taylor expansion of 0 in a1
20.173 * [backup-simplify]: Simplify 0 into 0
20.173 * [backup-simplify]: Simplify 0 into 0
20.173 * [backup-simplify]: Simplify 0 into 0
20.174 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
20.175 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
20.175 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in (th a1) around 0
20.175 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
20.175 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
20.175 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
20.175 * [taylor]: Taking taylor expansion of -1 in a1
20.175 * [backup-simplify]: Simplify -1 into -1
20.175 * [taylor]: Taking taylor expansion of th in a1
20.175 * [backup-simplify]: Simplify th into th
20.175 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
20.175 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.175 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
20.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
20.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.175 * [taylor]: Taking taylor expansion of 2.0 in a1
20.175 * [backup-simplify]: Simplify 2.0 into 2.0
20.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.177 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.177 * [taylor]: Taking taylor expansion of a1 in a1
20.177 * [backup-simplify]: Simplify 0 into 0
20.177 * [backup-simplify]: Simplify 1 into 1
20.177 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
20.177 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
20.177 * [backup-simplify]: Simplify (- 0) into 0
20.177 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
20.178 * [backup-simplify]: Simplify (* 1 1) into 1
20.179 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
20.179 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
20.179 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in th
20.179 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
20.179 * [taylor]: Taking taylor expansion of (/ -1 th) in th
20.179 * [taylor]: Taking taylor expansion of -1 in th
20.179 * [backup-simplify]: Simplify -1 into -1
20.179 * [taylor]: Taking taylor expansion of th in th
20.179 * [backup-simplify]: Simplify 0 into 0
20.179 * [backup-simplify]: Simplify 1 into 1
20.180 * [backup-simplify]: Simplify (/ -1 1) into -1
20.180 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.180 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
20.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.180 * [taylor]: Taking taylor expansion of 2.0 in th
20.180 * [backup-simplify]: Simplify 2.0 into 2.0
20.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.181 * [taylor]: Taking taylor expansion of (pow a1 2) in th
20.181 * [taylor]: Taking taylor expansion of a1 in th
20.181 * [backup-simplify]: Simplify a1 into a1
20.181 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
20.182 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
20.183 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
20.183 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in th
20.183 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
20.183 * [taylor]: Taking taylor expansion of (/ -1 th) in th
20.183 * [taylor]: Taking taylor expansion of -1 in th
20.183 * [backup-simplify]: Simplify -1 into -1
20.183 * [taylor]: Taking taylor expansion of th in th
20.183 * [backup-simplify]: Simplify 0 into 0
20.183 * [backup-simplify]: Simplify 1 into 1
20.183 * [backup-simplify]: Simplify (/ -1 1) into -1
20.183 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
20.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
20.183 * [taylor]: Taking taylor expansion of 2.0 in th
20.183 * [backup-simplify]: Simplify 2.0 into 2.0
20.184 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.185 * [taylor]: Taking taylor expansion of (pow a1 2) in th
20.185 * [taylor]: Taking taylor expansion of a1 in th
20.185 * [backup-simplify]: Simplify a1 into a1
20.185 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
20.186 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
20.186 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
20.186 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
20.186 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
20.186 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
20.186 * [taylor]: Taking taylor expansion of -1 in a1
20.186 * [backup-simplify]: Simplify -1 into -1
20.186 * [taylor]: Taking taylor expansion of th in a1
20.187 * [backup-simplify]: Simplify th into th
20.187 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
20.187 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
20.187 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
20.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
20.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
20.187 * [taylor]: Taking taylor expansion of 2.0 in a1
20.187 * [backup-simplify]: Simplify 2.0 into 2.0
20.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
20.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
20.188 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
20.188 * [taylor]: Taking taylor expansion of a1 in a1
20.188 * [backup-simplify]: Simplify 0 into 0
20.188 * [backup-simplify]: Simplify 1 into 1
20.188 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
20.188 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
20.189 * [backup-simplify]: Simplify (- 0) into 0
20.189 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
20.189 * [backup-simplify]: Simplify (* 1 1) into 1
20.190 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
20.191 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
20.191 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
20.191 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
20.192 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a1 2))) into 0
20.194 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.194 * [taylor]: Taking taylor expansion of 0 in a1
20.194 * [backup-simplify]: Simplify 0 into 0
20.194 * [backup-simplify]: Simplify (+ 0) into 0
20.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
20.195 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
20.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
20.197 * [backup-simplify]: Simplify (- 0) into 0
20.197 * [backup-simplify]: Simplify (+ 0 0) into 0
20.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.198 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
20.200 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
20.200 * [backup-simplify]: Simplify 0 into 0
20.201 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
20.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.203 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0
20.205 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.205 * [taylor]: Taking taylor expansion of 0 in a1
20.205 * [backup-simplify]: Simplify 0 into 0
20.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
20.207 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
20.209 * [backup-simplify]: Simplify (- 0) into 0
20.209 * [backup-simplify]: Simplify (+ 0 0) into 0
20.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
20.212 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
20.215 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
20.215 * [backup-simplify]: Simplify 0 into 0
20.216 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
20.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0
20.222 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.222 * [taylor]: Taking taylor expansion of 0 in a1
20.222 * [backup-simplify]: Simplify 0 into 0
20.222 * [backup-simplify]: Simplify 0 into 0
20.223 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.224 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
20.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.227 * [backup-simplify]: Simplify (- 0) into 0
20.227 * [backup-simplify]: Simplify (+ 0 0) into 0
20.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.231 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.240 * [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
20.240 * [backup-simplify]: Simplify 0 into 0
20.241 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
20.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
20.245 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0
20.248 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2.0) (pow a1 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))) (* 0 (/ 0 (* (sqrt 2.0) (pow a1 2)))))) into 0
20.248 * [taylor]: Taking taylor expansion of 0 in a1
20.248 * [backup-simplify]: Simplify 0 into 0
20.248 * [backup-simplify]: Simplify 0 into 0
20.248 * [backup-simplify]: Simplify 0 into 0
20.249 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
20.249 * * * [progress]: simplifying candidates
20.254 * [simplify]: Simplifying:
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (- (log (cos th)) (log (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0))))
  (cbrt (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (sqrt (/ (cos th) (sqrt 2.0)))
  (- (cos th))
  (- (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) 1)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a2) (log a2)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a2 a2)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a2) (log a2)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a2 a2)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2)
  (* (/ (cos th) (sqrt 2.0)) a2)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a2 a2))
  (* (/ 1 (sqrt 2.0)) (* a2 a2))
  (* (cos th) (* a2 a2))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1)))
  (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1)))
  (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1)))
  (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))))
  (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (/ (cos th) (sqrt 2.0)) a1)
  (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ 1 (sqrt 2.0)) (* a1 a1))
  (* (cos th) (* a1 a1))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2.0))))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
  (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
  (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2.0))))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
  (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
20.258 * * [simplify]: iteration 0: 181 enodes
20.297 * * [simplify]: iteration 1: 541 enodes
20.703 * * [simplify]: iteration 2: 2868 enodes
21.825 * * [simplify]: iteration complete: 5000 enodes
21.825 * * [simplify]: Extracting #0: cost 94 inf + 0
21.827 * * [simplify]: Extracting #1: cost 807 inf + 1
21.842 * * [simplify]: Extracting #2: cost 1810 inf + 10167
21.873 * * [simplify]: Extracting #3: cost 869 inf + 124644
21.954 * * [simplify]: Extracting #4: cost 251 inf + 280939
22.014 * * [simplify]: Extracting #5: cost 5 inf + 319929
22.070 * * [simplify]: Extracting #6: cost 0 inf + 320120
22.147 * [simplify]: Simplified to:
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (cos th) (cos th)) (/ (* 2.0 (sqrt 2.0)) (cos th)))
  (* (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 (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (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)))
  (exp (/ (cos th) (sqrt 2.0)))
  (/ (* (cos th) (cos th)) (/ (* 2.0 (sqrt 2.0)) (cos th)))
  (* (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 (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (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))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (log (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (log (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (log (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (log (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (log (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (exp (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (* (/ (cos th) 2.0) (/ (* (* (cos th) (* (* a2 a2) a2)) (* (cos th) (* (* a2 a2) a2))) (sqrt 2.0)))
  (* (/ (cos th) 2.0) (/ (* (* (cos th) (* (* a2 a2) a2)) (* (cos th) (* (* a2 a2) a2))) (sqrt 2.0)))
  (* (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0)))))
  (* (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0)))))
  (* (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2.0)))) (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2.0)))))
  (cbrt (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (* (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0)))))
  (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (sqrt (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (* a2 (sqrt (/ (cos th) (sqrt 2.0))))
  (* a2 (sqrt (/ (cos th) (sqrt 2.0))))
  (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (* a2 (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2))
  (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (* a2 a2) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (* (* a2 a2) (cbrt (cos th))) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt (sqrt 2.0)))
  (/ (* (* a2 a2) (cbrt (cos th))) (sqrt 2.0))
  (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (cbrt 2.0)))
  (* a2 (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (cos th)) (* a2 a2)) (sqrt 2.0))
  (* a2 (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (cos th)) (* a2 a2)) (sqrt 2.0))
  (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2.0)))
  (* a2 (/ (* (cos th) a2) (sqrt (cbrt 2.0))))
  (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (/ (* a2 a2) (sqrt 2.0))
  (* (* a2 (cos th)) a2)
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
  (log (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (log (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (log (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (log (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (log (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (exp (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (* (/ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) 2.0) (/ (* (cos th) (* (cos th) (cos th))) (sqrt 2.0)))
  (* (/ (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) 2.0) (/ (* (cos th) (* (cos th) (cos th))) (sqrt 2.0)))
  (* (/ (cos th) (/ (sqrt 2.0) (* a1 a1))) (* (/ (cos th) (/ (sqrt 2.0) (* a1 a1))) (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))))
  (* (/ (cos th) (/ (sqrt 2.0) (* a1 a1))) (* (/ (cos th) (/ (sqrt 2.0) (* a1 a1))) (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))))
  (* (cbrt (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))) (cbrt (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))))
  (cbrt (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (* (/ (cos th) (/ (sqrt 2.0) (* a1 a1))) (* (/ (cos th) (/ (sqrt 2.0) (* a1 a1))) (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))))
  (sqrt (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (sqrt (/ (cos th) (/ (sqrt 2.0) (* a1 a1))))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a1)
  (/ (* (sqrt (cos th)) a1) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (cos th)) a1) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (cos th)) a1) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (cos th)) a1) (sqrt (sqrt 2.0)))
  (/ (* a1 (cos th)) (sqrt 2.0))
  (* (* a1 a1) (cbrt (/ (cos th) (sqrt 2.0))))
  (* a1 (* (sqrt (/ (cos th) (sqrt 2.0))) a1))
  (/ (* (cbrt (cos th)) (* a1 a1)) (cbrt (sqrt 2.0)))
  (* a1 (* a1 (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt 2.0))
  (/ (* (sqrt (cos th)) (* a1 a1)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (/ (sqrt (cbrt 2.0)) (* a1 a1)))
  (/ (* (sqrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (* (* a1 a1) (sqrt (cos th))) (sqrt 2.0))
  (/ (* (sqrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (* (* a1 a1) (sqrt (cos th))) (sqrt 2.0))
  (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2.0)))
  (/ (* a1 (* a1 (cos th))) (sqrt (cbrt 2.0)))
  (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
  (/ (* (cos th) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
  (/ (* a1 a1) (sqrt 2.0))
  (* a1 (* a1 (cos th)))
  (+ (/ 1 (sqrt 2.0)) (- (* 1/24 (/ (* (* th th) (* th th)) (sqrt 2.0))) (/ (* (* 1/2 th) th) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (+ (/ 1 (sqrt 2.0)) (- (* 1/24 (/ (* (* th th) (* th th)) (sqrt 2.0))) (/ (* (* 1/2 th) th) (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (/ (* a2 a2) (sqrt 2.0)) (/ (* (* (* 1/2 th) th) (* a2 a2)) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (- (/ (* a1 a1) (sqrt 2.0)) (/ (* (* a1 a1) 1/2) (/ (/ (sqrt 2.0) th) th)))
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
  (/ (cos th) (/ (sqrt 2.0) (* a1 a1)))
22.175 * * * [progress]: adding candidates to table
23.188 * [progress]: [Phase 3 of 3] Extracting.
23.188 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.191 * * * [regime-changes]: Trying 8 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) th a2 a1)
23.191 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.282 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.397 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.457 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.565 * * * * [regimes]: Trying to branch on (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.664 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.748 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.830 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))))> #<alt (λ (a1 a2 th) (* (/ 1 (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (sqrt (+ (* a1 a1) (* a2 a2))))) (/ 1 (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))> #<alt (λ (a1 a2 th) (* (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (* a2 a2))))) (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>)
23.905 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
23.905 * [simplify]: Simplifying:
  (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))))
23.905 * * [simplify]: iteration 0: 15 enodes
23.907 * * [simplify]: iteration 1: 18 enodes
23.909 * * [simplify]: iteration complete: 18 enodes
23.909 * * [simplify]: Extracting #0: cost 1 inf + 0
23.909 * * [simplify]: Extracting #1: cost 3 inf + 0
23.909 * * [simplify]: Extracting #2: cost 4 inf + 1
23.909 * * [simplify]: Extracting #3: cost 6 inf + 1
23.909 * * [simplify]: Extracting #4: cost 10 inf + 1
23.909 * * [simplify]: Extracting #5: cost 14 inf + 1
23.909 * * [simplify]: Extracting #6: cost 8 inf + 87
23.909 * * [simplify]: Extracting #7: cost 3 inf + 615
23.911 * * [simplify]: Extracting #8: cost 1 inf + 1343
23.911 * * [simplify]: Extracting #9: cost 0 inf + 1768
23.911 * [simplify]: Simplified to:
  (/ 1 (/ (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (+ (* a2 a2) (* a1 a1)))))
31.167 * [regime-testing]: Baseline error score: 0.7544275520513904
31.176 * [regime-testing]: Oracle error score: 0.06338292286535817
31.206 * [regime-testing]: End program error score: 0.7544275520513904