53.972 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.146 * * * [progress]: [2/2] Setting up program.
0.151 * [progress]: [Phase 2 of 3] Improving.
0.151 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.151 * * [simplify]: iteration 0: 12 enodes
0.154 * * [simplify]: iteration 1: 26 enodes
0.160 * * [simplify]: iteration 2: 55 enodes
0.169 * * [simplify]: iteration 3: 80 enodes
0.223 * * [simplify]: iteration 4: 98 enodes
0.249 * * [simplify]: iteration 5: 110 enodes
0.265 * * [simplify]: iteration 6: 122 enodes
0.279 * * [simplify]: iteration 7: 134 enodes
0.302 * * [simplify]: iteration complete: 134 enodes
0.302 * * [simplify]: Extracting #0: cost 1 inf + 0
0.302 * * [simplify]: Extracting #1: cost 15 inf + 0
0.302 * * [simplify]: Extracting #2: cost 28 inf + 140
0.302 * * [simplify]: Extracting #3: cost 17 inf + 993
0.303 * * [simplify]: Extracting #4: cost 0 inf + 3706
0.304 * [simplify]: Simplified to:
  (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2))))
0.309 * * [progress]: iteration 1 / 4
0.310 * * * [progress]: picking best candidate
0.318 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
0.319 * * * [progress]: localizing error
0.358 * * * [progress]: generating rewritten candidates
0.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
0.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
0.375 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.413 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.479 * * * [progress]: generating series expansions
0.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
0.480 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.480 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
0.480 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.480 * [taylor]: Taking taylor expansion of (cos th) in th
0.480 * [taylor]: Taking taylor expansion of th in th
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.480 * [taylor]: Taking taylor expansion of 2.0 in th
0.480 * [backup-simplify]: Simplify 2.0 into 2.0
0.481 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.482 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.482 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.483 * [taylor]: Taking taylor expansion of (cos th) in th
0.483 * [taylor]: Taking taylor expansion of th in th
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.483 * [taylor]: Taking taylor expansion of 2.0 in th
0.483 * [backup-simplify]: Simplify 2.0 into 2.0
0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.486 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.486 * [backup-simplify]: Simplify (+ 0) into 0
0.487 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.493 * [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))))
0.495 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.497 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.500 * [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
0.500 * [backup-simplify]: Simplify 0 into 0
0.502 * [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
0.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.505 * [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)))
0.506 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
0.509 * [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))))
0.509 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.509 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
0.509 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.509 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.509 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.509 * [taylor]: Taking taylor expansion of th in th
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (/ 1 1) into 1
0.510 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.510 * [taylor]: Taking taylor expansion of 2.0 in th
0.510 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.511 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.511 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.511 * [taylor]: Taking taylor expansion of th in th
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.511 * [taylor]: Taking taylor expansion of 2.0 in th
0.511 * [backup-simplify]: Simplify 2.0 into 2.0
0.512 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.512 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.513 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.514 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.516 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.518 * [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
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.521 * [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
0.521 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.524 * [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
0.524 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.527 * [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
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.528 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.528 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
0.528 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.528 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.528 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.528 * [taylor]: Taking taylor expansion of -1 in th
0.528 * [backup-simplify]: Simplify -1 into -1
0.528 * [taylor]: Taking taylor expansion of th in th
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (/ -1 1) into -1
0.528 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.529 * [taylor]: Taking taylor expansion of 2.0 in th
0.529 * [backup-simplify]: Simplify 2.0 into 2.0
0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.530 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.530 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.530 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.530 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.530 * [taylor]: Taking taylor expansion of -1 in th
0.530 * [backup-simplify]: Simplify -1 into -1
0.530 * [taylor]: Taking taylor expansion of th in th
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (/ -1 1) into -1
0.530 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.530 * [taylor]: Taking taylor expansion of 2.0 in th
0.530 * [backup-simplify]: Simplify 2.0 into 2.0
0.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.531 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.532 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.545 * [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
0.545 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.550 * [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
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.556 * [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
0.556 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.561 * [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
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.562 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
0.562 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.562 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
0.562 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.562 * [taylor]: Taking taylor expansion of (cos th) in th
0.562 * [taylor]: Taking taylor expansion of th in th
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.562 * [taylor]: Taking taylor expansion of 2.0 in th
0.562 * [backup-simplify]: Simplify 2.0 into 2.0
0.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.564 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.564 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.564 * [taylor]: Taking taylor expansion of (cos th) in th
0.564 * [taylor]: Taking taylor expansion of th in th
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 1 into 1
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.564 * [taylor]: Taking taylor expansion of 2.0 in th
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.565 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.566 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.566 * [backup-simplify]: Simplify (+ 0) into 0
0.566 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.568 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.570 * [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))))
0.571 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.572 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.573 * [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
0.573 * [backup-simplify]: Simplify 0 into 0
0.575 * [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
0.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.578 * [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)))
0.579 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
0.582 * [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))))
0.582 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.582 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
0.582 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.582 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.583 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.583 * [taylor]: Taking taylor expansion of th in th
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 1 into 1
0.583 * [backup-simplify]: Simplify (/ 1 1) into 1
0.583 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.583 * [taylor]: Taking taylor expansion of 2.0 in th
0.583 * [backup-simplify]: Simplify 2.0 into 2.0
0.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.584 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.584 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.584 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.584 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.584 * [taylor]: Taking taylor expansion of th in th
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [backup-simplify]: Simplify (/ 1 1) into 1
0.584 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.584 * [taylor]: Taking taylor expansion of 2.0 in th
0.584 * [backup-simplify]: Simplify 2.0 into 2.0
0.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.585 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.586 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.587 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.588 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.591 * [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
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.594 * [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
0.594 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.600 * [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
0.600 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.606 * [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
0.606 * [backup-simplify]: Simplify 0 into 0
0.607 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.607 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.607 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
0.607 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.607 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.607 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.607 * [taylor]: Taking taylor expansion of -1 in th
0.607 * [backup-simplify]: Simplify -1 into -1
0.607 * [taylor]: Taking taylor expansion of th in th
0.608 * [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 (cos (/ -1 th)) into (cos (/ -1 th))
0.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.608 * [taylor]: Taking taylor expansion of 2.0 in th
0.608 * [backup-simplify]: Simplify 2.0 into 2.0
0.609 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
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 th
0.610 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.610 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.610 * [taylor]: Taking taylor expansion of -1 in th
0.610 * [backup-simplify]: Simplify -1 into -1
0.610 * [taylor]: Taking taylor expansion of th in th
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (/ -1 1) into -1
0.611 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.611 * [taylor]: Taking taylor expansion of 2.0 in th
0.611 * [backup-simplify]: Simplify 2.0 into 2.0
0.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.613 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.613 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.615 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.615 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.619 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.619 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.623 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.623 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.628 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.628 * [backup-simplify]: Simplify 0 into 0
0.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.634 * [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
0.634 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.640 * [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
0.640 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.641 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.641 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.641 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
0.641 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
0.641 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
0.641 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.641 * [taylor]: Taking taylor expansion of a1 in a1
0.642 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify 1 into 1
0.642 * [taylor]: Taking taylor expansion of (cos th) in a1
0.642 * [taylor]: Taking taylor expansion of th in a1
0.642 * [backup-simplify]: Simplify th into th
0.642 * [backup-simplify]: Simplify (cos th) into (cos th)
0.642 * [backup-simplify]: Simplify (sin th) into (sin th)
0.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.642 * [taylor]: Taking taylor expansion of 2.0 in a1
0.642 * [backup-simplify]: Simplify 2.0 into 2.0
0.642 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.643 * [backup-simplify]: Simplify (* 1 1) into 1
0.644 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.644 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.644 * [backup-simplify]: Simplify (- 0) into 0
0.644 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.644 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
0.645 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.645 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
0.645 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
0.645 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.645 * [taylor]: Taking taylor expansion of a1 in th
0.645 * [backup-simplify]: Simplify a1 into a1
0.645 * [taylor]: Taking taylor expansion of (cos th) in th
0.645 * [taylor]: Taking taylor expansion of th in th
0.645 * [backup-simplify]: Simplify 0 into 0
0.645 * [backup-simplify]: Simplify 1 into 1
0.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.645 * [taylor]: Taking taylor expansion of 2.0 in th
0.645 * [backup-simplify]: Simplify 2.0 into 2.0
0.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.646 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.647 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
0.647 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
0.647 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
0.647 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
0.647 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.647 * [taylor]: Taking taylor expansion of a1 in th
0.647 * [backup-simplify]: Simplify a1 into a1
0.647 * [taylor]: Taking taylor expansion of (cos th) in th
0.647 * [taylor]: Taking taylor expansion of th in th
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.647 * [taylor]: Taking taylor expansion of 2.0 in th
0.647 * [backup-simplify]: Simplify 2.0 into 2.0
0.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.649 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.649 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
0.649 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
0.650 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
0.650 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.650 * [taylor]: Taking taylor expansion of a1 in a1
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.650 * [taylor]: Taking taylor expansion of 2.0 in a1
0.650 * [backup-simplify]: Simplify 2.0 into 2.0
0.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.651 * [backup-simplify]: Simplify (* 1 1) into 1
0.652 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.653 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.654 * [backup-simplify]: Simplify (+ 0) into 0
0.654 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
0.654 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0
0.656 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.656 * [taylor]: Taking taylor expansion of 0 in a1
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.659 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.659 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.660 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
0.661 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2)))
0.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.665 * [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))))
0.665 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
0.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
0.665 * [taylor]: Taking taylor expansion of 1/2 in a1
0.665 * [backup-simplify]: Simplify 1/2 into 1/2
0.665 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
0.665 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.665 * [taylor]: Taking taylor expansion of a1 in a1
0.665 * [backup-simplify]: Simplify 0 into 0
0.665 * [backup-simplify]: Simplify 1 into 1
0.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.665 * [taylor]: Taking taylor expansion of 2.0 in a1
0.665 * [backup-simplify]: Simplify 2.0 into 2.0
0.666 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.675 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
0.676 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.679 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.679 * [backup-simplify]: Simplify 0 into 0
0.680 * [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 (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.682 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.684 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
0.686 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.690 * [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
0.690 * [taylor]: Taking taylor expansion of 0 in a1
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.692 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
0.694 * [backup-simplify]: Simplify (- 0) into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.698 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.698 * [backup-simplify]: Simplify 0 into 0
0.702 * [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))))
0.702 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a1) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
0.702 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in (th a1) around 0
0.702 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
0.702 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.702 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.702 * [taylor]: Taking taylor expansion of th in a1
0.702 * [backup-simplify]: Simplify th into th
0.702 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.703 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.703 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.703 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
0.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.703 * [taylor]: Taking taylor expansion of 2.0 in a1
0.703 * [backup-simplify]: Simplify 2.0 into 2.0
0.703 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.704 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.704 * [taylor]: Taking taylor expansion of a1 in a1
0.704 * [backup-simplify]: Simplify 0 into 0
0.704 * [backup-simplify]: Simplify 1 into 1
0.704 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.704 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.705 * [backup-simplify]: Simplify (- 0) into 0
0.705 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.705 * [backup-simplify]: Simplify (* 1 1) into 1
0.706 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.706 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.707 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
0.707 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.707 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.707 * [taylor]: Taking taylor expansion of th in th
0.707 * [backup-simplify]: Simplify 0 into 0
0.707 * [backup-simplify]: Simplify 1 into 1
0.707 * [backup-simplify]: Simplify (/ 1 1) into 1
0.707 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
0.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.707 * [taylor]: Taking taylor expansion of 2.0 in th
0.707 * [backup-simplify]: Simplify 2.0 into 2.0
0.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.708 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.708 * [taylor]: Taking taylor expansion of a1 in th
0.708 * [backup-simplify]: Simplify a1 into a1
0.709 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.709 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
0.710 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
0.710 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
0.710 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.710 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.710 * [taylor]: Taking taylor expansion of th in th
0.710 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify 1 into 1
0.710 * [backup-simplify]: Simplify (/ 1 1) into 1
0.710 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.710 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
0.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.710 * [taylor]: Taking taylor expansion of 2.0 in th
0.710 * [backup-simplify]: Simplify 2.0 into 2.0
0.711 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.712 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.712 * [taylor]: Taking taylor expansion of a1 in th
0.712 * [backup-simplify]: Simplify a1 into a1
0.712 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.712 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
0.713 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
0.713 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.713 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.713 * [taylor]: Taking taylor expansion of th in a1
0.713 * [backup-simplify]: Simplify th into th
0.713 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.713 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.713 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.713 * [taylor]: Taking taylor expansion of 2.0 in a1
0.713 * [backup-simplify]: Simplify 2.0 into 2.0
0.714 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.715 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.715 * [taylor]: Taking taylor expansion of a1 in a1
0.715 * [backup-simplify]: Simplify 0 into 0
0.715 * [backup-simplify]: Simplify 1 into 1
0.715 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.715 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.715 * [backup-simplify]: Simplify (- 0) into 0
0.715 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.716 * [backup-simplify]: Simplify (* 1 1) into 1
0.717 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.717 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.718 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.718 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
0.719 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a1 2))) into 0
0.720 * [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
0.720 * [taylor]: Taking taylor expansion of 0 in a1
0.720 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify (+ 0) into 0
0.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.723 * [backup-simplify]: Simplify (- 0) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.725 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.727 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
0.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.730 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0
0.732 * [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
0.732 * [taylor]: Taking taylor expansion of 0 in a1
0.732 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.734 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.736 * [backup-simplify]: Simplify (- 0) into 0
0.736 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.739 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.741 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.741 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
0.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.745 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0
0.748 * [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
0.748 * [taylor]: Taking taylor expansion of 0 in a1
0.748 * [backup-simplify]: Simplify 0 into 0
0.748 * [backup-simplify]: Simplify 0 into 0
0.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.750 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.752 * [backup-simplify]: Simplify (- 0) into 0
0.753 * [backup-simplify]: Simplify (+ 0 0) into 0
0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.756 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.759 * [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
0.759 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
0.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.764 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0
0.767 * [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
0.767 * [taylor]: Taking taylor expansion of 0 in a1
0.767 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify 0 into 0
0.768 * [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))
0.769 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
0.769 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in (th a1) around 0
0.769 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
0.769 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.769 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.769 * [taylor]: Taking taylor expansion of -1 in a1
0.769 * [backup-simplify]: Simplify -1 into -1
0.769 * [taylor]: Taking taylor expansion of th in a1
0.769 * [backup-simplify]: Simplify th into th
0.769 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.769 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.770 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.770 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.770 * [taylor]: Taking taylor expansion of 2.0 in a1
0.770 * [backup-simplify]: Simplify 2.0 into 2.0
0.770 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.771 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.771 * [taylor]: Taking taylor expansion of a1 in a1
0.771 * [backup-simplify]: Simplify 0 into 0
0.771 * [backup-simplify]: Simplify 1 into 1
0.771 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.772 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.772 * [backup-simplify]: Simplify (- 0) into 0
0.772 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.773 * [backup-simplify]: Simplify (* 1 1) into 1
0.773 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.774 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.774 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in th
0.774 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.774 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.774 * [taylor]: Taking taylor expansion of -1 in th
0.774 * [backup-simplify]: Simplify -1 into -1
0.774 * [taylor]: Taking taylor expansion of th in th
0.774 * [backup-simplify]: Simplify 0 into 0
0.774 * [backup-simplify]: Simplify 1 into 1
0.775 * [backup-simplify]: Simplify (/ -1 1) into -1
0.775 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.775 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
0.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.775 * [taylor]: Taking taylor expansion of 2.0 in th
0.775 * [backup-simplify]: Simplify 2.0 into 2.0
0.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.776 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.776 * [taylor]: Taking taylor expansion of a1 in th
0.776 * [backup-simplify]: Simplify a1 into a1
0.776 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.777 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
0.777 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
0.777 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in th
0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.777 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.777 * [taylor]: Taking taylor expansion of -1 in th
0.777 * [backup-simplify]: Simplify -1 into -1
0.777 * [taylor]: Taking taylor expansion of th in th
0.777 * [backup-simplify]: Simplify 0 into 0
0.777 * [backup-simplify]: Simplify 1 into 1
0.778 * [backup-simplify]: Simplify (/ -1 1) into -1
0.778 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.778 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.778 * [taylor]: Taking taylor expansion of 2.0 in th
0.778 * [backup-simplify]: Simplify 2.0 into 2.0
0.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.779 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.779 * [taylor]: Taking taylor expansion of a1 in th
0.779 * [backup-simplify]: Simplify a1 into a1
0.779 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.780 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
0.781 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
0.781 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
0.781 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.781 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.781 * [taylor]: Taking taylor expansion of -1 in a1
0.781 * [backup-simplify]: Simplify -1 into -1
0.781 * [taylor]: Taking taylor expansion of th in a1
0.781 * [backup-simplify]: Simplify th into th
0.781 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.781 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.781 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.781 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
0.781 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.781 * [taylor]: Taking taylor expansion of 2.0 in a1
0.781 * [backup-simplify]: Simplify 2.0 into 2.0
0.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.782 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.782 * [taylor]: Taking taylor expansion of a1 in a1
0.782 * [backup-simplify]: Simplify 0 into 0
0.782 * [backup-simplify]: Simplify 1 into 1
0.783 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.783 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.783 * [backup-simplify]: Simplify (- 0) into 0
0.783 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.784 * [backup-simplify]: Simplify (* 1 1) into 1
0.785 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.785 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.786 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.786 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
0.786 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a1 2))) into 0
0.788 * [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
0.788 * [taylor]: Taking taylor expansion of 0 in a1
0.788 * [backup-simplify]: Simplify 0 into 0
0.789 * [backup-simplify]: Simplify (+ 0) into 0
0.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.791 * [backup-simplify]: Simplify (- 0) into 0
0.792 * [backup-simplify]: Simplify (+ 0 0) into 0
0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.793 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.795 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.795 * [backup-simplify]: Simplify 0 into 0
0.795 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
0.796 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.797 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0
0.800 * [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
0.800 * [taylor]: Taking taylor expansion of 0 in a1
0.800 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.802 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.804 * [backup-simplify]: Simplify (- 0) into 0
0.804 * [backup-simplify]: Simplify (+ 0 0) into 0
0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.809 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
0.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.811 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0
0.813 * [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
0.813 * [taylor]: Taking taylor expansion of 0 in a1
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.815 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.816 * [backup-simplify]: Simplify (- 0) into 0
0.820 * [backup-simplify]: Simplify (+ 0 0) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.822 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.824 * [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
0.824 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
0.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.828 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0
0.830 * [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
0.830 * [taylor]: Taking taylor expansion of 0 in a1
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [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))
0.830 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.831 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.831 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
0.831 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.831 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.831 * [taylor]: Taking taylor expansion of (cos th) in a2
0.831 * [taylor]: Taking taylor expansion of th in a2
0.831 * [backup-simplify]: Simplify th into th
0.831 * [backup-simplify]: Simplify (cos th) into (cos th)
0.831 * [backup-simplify]: Simplify (sin th) into (sin th)
0.831 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.831 * [taylor]: Taking taylor expansion of a2 in a2
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify 1 into 1
0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.831 * [taylor]: Taking taylor expansion of 2.0 in a2
0.831 * [backup-simplify]: Simplify 2.0 into 2.0
0.832 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.832 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.832 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.832 * [backup-simplify]: Simplify (- 0) into 0
0.832 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.833 * [backup-simplify]: Simplify (* 1 1) into 1
0.833 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.833 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.833 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
0.833 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
0.833 * [taylor]: Taking taylor expansion of (cos th) in th
0.833 * [taylor]: Taking taylor expansion of th in th
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 1 into 1
0.833 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.833 * [taylor]: Taking taylor expansion of a2 in th
0.833 * [backup-simplify]: Simplify a2 into a2
0.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.833 * [taylor]: Taking taylor expansion of 2.0 in th
0.833 * [backup-simplify]: Simplify 2.0 into 2.0
0.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.834 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.834 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
0.834 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
0.834 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
0.835 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
0.835 * [taylor]: Taking taylor expansion of (cos th) in th
0.835 * [taylor]: Taking taylor expansion of th in th
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.835 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.835 * [taylor]: Taking taylor expansion of a2 in th
0.835 * [backup-simplify]: Simplify a2 into a2
0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.835 * [taylor]: Taking taylor expansion of 2.0 in th
0.835 * [backup-simplify]: Simplify 2.0 into 2.0
0.835 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.835 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.836 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
0.836 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
0.836 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
0.836 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.836 * [taylor]: Taking taylor expansion of a2 in a2
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.836 * [taylor]: Taking taylor expansion of 2.0 in a2
0.836 * [backup-simplify]: Simplify 2.0 into 2.0
0.836 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.837 * [backup-simplify]: Simplify (* 1 1) into 1
0.838 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.838 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.838 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.838 * [backup-simplify]: Simplify (+ 0) into 0
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0
0.840 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.840 * [taylor]: Taking taylor expansion of 0 in a2
0.840 * [backup-simplify]: Simplify 0 into 0
0.840 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.841 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.841 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2)))
0.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.845 * [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))))
0.845 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
0.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
0.845 * [taylor]: Taking taylor expansion of 1/2 in a2
0.845 * [backup-simplify]: Simplify 1/2 into 1/2
0.845 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
0.845 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.845 * [taylor]: Taking taylor expansion of a2 in a2
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.845 * [taylor]: Taking taylor expansion of 2.0 in a2
0.845 * [backup-simplify]: Simplify 2.0 into 2.0
0.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.846 * [backup-simplify]: Simplify (* 1 1) into 1
0.847 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.848 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
0.849 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.850 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
0.850 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.852 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.854 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0
0.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.858 * [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
0.858 * [taylor]: Taking taylor expansion of 0 in a2
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.860 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
0.861 * [backup-simplify]: Simplify (- 0) into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.865 * [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
0.865 * [backup-simplify]: Simplify 0 into 0
0.869 * [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))))
0.869 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.869 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
0.869 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.869 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.869 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.870 * [taylor]: Taking taylor expansion of th in a2
0.870 * [backup-simplify]: Simplify th into th
0.870 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.870 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.870 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.870 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.870 * [taylor]: Taking taylor expansion of 2.0 in a2
0.870 * [backup-simplify]: Simplify 2.0 into 2.0
0.870 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.871 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.871 * [taylor]: Taking taylor expansion of a2 in a2
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify 1 into 1
0.871 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.871 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.872 * [backup-simplify]: Simplify (- 0) into 0
0.872 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.872 * [backup-simplify]: Simplify (* 1 1) into 1
0.873 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.874 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.874 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.874 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.874 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.874 * [taylor]: Taking taylor expansion of th in th
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [backup-simplify]: Simplify 1 into 1
0.874 * [backup-simplify]: Simplify (/ 1 1) into 1
0.874 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.874 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.874 * [taylor]: Taking taylor expansion of 2.0 in th
0.874 * [backup-simplify]: Simplify 2.0 into 2.0
0.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.876 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.876 * [taylor]: Taking taylor expansion of a2 in th
0.876 * [backup-simplify]: Simplify a2 into a2
0.876 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.876 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.877 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.877 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.877 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.877 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.877 * [taylor]: Taking taylor expansion of th in th
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify 1 into 1
0.877 * [backup-simplify]: Simplify (/ 1 1) into 1
0.877 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.877 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.878 * [taylor]: Taking taylor expansion of 2.0 in th
0.878 * [backup-simplify]: Simplify 2.0 into 2.0
0.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.879 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.879 * [taylor]: Taking taylor expansion of a2 in th
0.879 * [backup-simplify]: Simplify a2 into a2
0.879 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.879 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.880 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.880 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.880 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.880 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.880 * [taylor]: Taking taylor expansion of th in a2
0.880 * [backup-simplify]: Simplify th into th
0.880 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.880 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.880 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.880 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.881 * [taylor]: Taking taylor expansion of 2.0 in a2
0.881 * [backup-simplify]: Simplify 2.0 into 2.0
0.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.882 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.882 * [taylor]: Taking taylor expansion of a2 in a2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.882 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.882 * [backup-simplify]: Simplify (- 0) into 0
0.883 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.883 * [backup-simplify]: Simplify (* 1 1) into 1
0.884 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.884 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.885 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.885 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.886 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
0.887 * [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
0.887 * [taylor]: Taking taylor expansion of 0 in a2
0.887 * [backup-simplify]: Simplify 0 into 0
0.888 * [backup-simplify]: Simplify (+ 0) into 0
0.888 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.890 * [backup-simplify]: Simplify (- 0) into 0
0.890 * [backup-simplify]: Simplify (+ 0 0) into 0
0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.892 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.893 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.893 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.896 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
0.898 * [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
0.898 * [taylor]: Taking taylor expansion of 0 in a2
0.898 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.900 * [backup-simplify]: Simplify (- 0) into 0
0.901 * [backup-simplify]: Simplify (+ 0 0) into 0
0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.904 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.906 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
0.908 * [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
0.908 * [taylor]: Taking taylor expansion of 0 in a2
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.910 * [backup-simplify]: Simplify (- 0) into 0
0.911 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.913 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.914 * [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
0.914 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.917 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
0.919 * [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
0.919 * [taylor]: Taking taylor expansion of 0 in a2
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [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))
0.920 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.920 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
0.920 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.920 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.920 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.921 * [taylor]: Taking taylor expansion of -1 in a2
0.921 * [backup-simplify]: Simplify -1 into -1
0.921 * [taylor]: Taking taylor expansion of th in a2
0.921 * [backup-simplify]: Simplify th into th
0.921 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.921 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.921 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.921 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.921 * [taylor]: Taking taylor expansion of 2.0 in a2
0.921 * [backup-simplify]: Simplify 2.0 into 2.0
0.921 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.922 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.922 * [taylor]: Taking taylor expansion of a2 in a2
0.922 * [backup-simplify]: Simplify 0 into 0
0.922 * [backup-simplify]: Simplify 1 into 1
0.922 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.922 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.922 * [backup-simplify]: Simplify (- 0) into 0
0.922 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.922 * [backup-simplify]: Simplify (* 1 1) into 1
0.923 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.923 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.923 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.923 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.923 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.923 * [taylor]: Taking taylor expansion of -1 in th
0.923 * [backup-simplify]: Simplify -1 into -1
0.923 * [taylor]: Taking taylor expansion of th in th
0.923 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify 1 into 1
0.924 * [backup-simplify]: Simplify (/ -1 1) into -1
0.924 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.924 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.924 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.924 * [taylor]: Taking taylor expansion of 2.0 in th
0.924 * [backup-simplify]: Simplify 2.0 into 2.0
0.924 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.925 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.925 * [taylor]: Taking taylor expansion of a2 in th
0.925 * [backup-simplify]: Simplify a2 into a2
0.925 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.925 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.925 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.925 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
0.925 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.925 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.926 * [taylor]: Taking taylor expansion of -1 in th
0.926 * [backup-simplify]: Simplify -1 into -1
0.926 * [taylor]: Taking taylor expansion of th in th
0.926 * [backup-simplify]: Simplify 0 into 0
0.926 * [backup-simplify]: Simplify 1 into 1
0.926 * [backup-simplify]: Simplify (/ -1 1) into -1
0.926 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.926 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
0.926 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.926 * [taylor]: Taking taylor expansion of 2.0 in th
0.926 * [backup-simplify]: Simplify 2.0 into 2.0
0.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.927 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.927 * [taylor]: Taking taylor expansion of a2 in th
0.927 * [backup-simplify]: Simplify a2 into a2
0.927 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.927 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
0.928 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.928 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.928 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.928 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.928 * [taylor]: Taking taylor expansion of -1 in a2
0.928 * [backup-simplify]: Simplify -1 into -1
0.928 * [taylor]: Taking taylor expansion of th in a2
0.928 * [backup-simplify]: Simplify th into th
0.928 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.928 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.928 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.928 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.928 * [taylor]: Taking taylor expansion of 2.0 in a2
0.928 * [backup-simplify]: Simplify 2.0 into 2.0
0.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.934 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.934 * [taylor]: Taking taylor expansion of a2 in a2
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.935 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.935 * [backup-simplify]: Simplify (- 0) into 0
0.935 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.935 * [backup-simplify]: Simplify (* 1 1) into 1
0.936 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.936 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.937 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.937 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.937 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
0.938 * [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
0.938 * [taylor]: Taking taylor expansion of 0 in a2
0.938 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify (+ 0) into 0
0.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.939 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.940 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.940 * [backup-simplify]: Simplify (- 0) into 0
0.940 * [backup-simplify]: Simplify (+ 0 0) into 0
0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.941 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.942 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.943 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.944 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
0.945 * [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
0.945 * [taylor]: Taking taylor expansion of 0 in a2
0.945 * [backup-simplify]: Simplify 0 into 0
0.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.946 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.948 * [backup-simplify]: Simplify (- 0) into 0
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.950 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.951 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.951 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.953 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
0.955 * [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
0.955 * [taylor]: Taking taylor expansion of 0 in a2
0.955 * [backup-simplify]: Simplify 0 into 0
0.955 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.956 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.958 * [backup-simplify]: Simplify (- 0) into 0
0.958 * [backup-simplify]: Simplify (+ 0 0) into 0
0.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.960 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.963 * [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
0.963 * [backup-simplify]: Simplify 0 into 0
0.964 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.966 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.968 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
0.971 * [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
0.971 * [taylor]: Taking taylor expansion of 0 in a2
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.972 * [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))
0.972 * * * [progress]: simplifying candidates
0.977 * [simplify]: Simplifying:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (- (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))
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (- (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))
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (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))
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (/ (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))
  (- (+ (/ 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 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))
  (- (/ (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))
0.982 * * [simplify]: iteration 0: 187 enodes
1.048 * * [simplify]: iteration 1: 533 enodes
1.314 * * [simplify]: iteration 2: 1723 enodes
2.124 * * [simplify]: iteration complete: 5001 enodes
2.124 * * [simplify]: Extracting #0: cost 97 inf + 0
2.127 * * [simplify]: Extracting #1: cost 688 inf + 1
2.137 * * [simplify]: Extracting #2: cost 1424 inf + 5837
2.163 * * [simplify]: Extracting #3: cost 1298 inf + 74265
2.255 * * [simplify]: Extracting #4: cost 320 inf + 285378
2.341 * * [simplify]: Extracting #5: cost 5 inf + 369792
2.426 * * [simplify]: Extracting #6: cost 0 inf + 369871
2.541 * * [simplify]: Extracting #7: cost 0 inf + 369791
2.637 * [simplify]: Simplified to:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (* (/ (cos th) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (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 (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)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (* (/ (cos th) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (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 (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)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (expm1 (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (log1p (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (/ (* (* a1 a1) (cos th)) (sqrt 2.0))
  (/ (* (* a1 a1) (cos th)) (sqrt 2.0))
  (log (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (log (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (log (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (log (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (log (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (exp (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (/ (* (* (* (* a1 a1) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (sqrt 2.0))
  (/ (* (* (* (* a1 a1) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (sqrt 2.0))
  (/ (* (* (* (* a1 a1) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (sqrt 2.0))
  (/ (* (* (* (* a1 a1) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (sqrt 2.0))
  (* (cbrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (cbrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (/ (* (* (* (* a1 a1) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (sqrt 2.0))
  (sqrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (* (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) a1) (sqrt 2.0))
  (* (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)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt 2.0) (* a1 a1)))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt 2.0) (* a1 a1)))
  (* (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) a1) a1)
  (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (* (* (sqrt (cos th)) a1) a1) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (/ (* (* (sqrt (cos th)) a1) a1) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (* 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) (sqrt 2.0))
  (* (* a1 a1) (cos th))
  (expm1 (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (log1p (* (* a2 a2) (/ (cos th) (sqrt 2.0))))
  (* (* 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))))
  (* (* (* (* 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))))
  (* (* (* (* 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))))
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (* (sqrt (/ (cos th) (sqrt 2.0))) a2)
  (/ (* 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)))))
  (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (* a2 a2)) (cbrt (sqrt 2.0)))
  (* (* a2 a2) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (* a2 a2)))
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt 2.0))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (* a2 a2)))
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt 2.0))
  (* (* a2 a2) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (* a2 (* a2 (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (* a2 a2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2))
  (* (* a2 a2) (/ (sqrt (cos th)) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (cbrt (sqrt 2.0))))
  (* (* a2 a2) (/ (cos th) (sqrt (cbrt 2.0))))
  (/ (* (* (cos th) a2) a2) (sqrt (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (/ (* (* (cos th) a2) a2) (sqrt (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (/ (* a2 a2) (sqrt 2.0))
  (* (* (cos th) a2) a2)
  (fma -1/2 (/ (* th th) (sqrt 2.0)) (fma (/ (* (* th th) (* th th)) (sqrt 2.0)) 1/24 (/ 1 (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (fma -1/2 (/ (* th th) (sqrt 2.0)) (fma (/ (* (* th th) (* th th)) (sqrt 2.0)) 1/24 (/ 1 (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (fma (/ (* (* a1 a1) (* th th)) (sqrt 2.0)) -1/2 (/ (* a1 a1) (sqrt 2.0)))
  (/ (* (* a1 a1) (cos th)) (sqrt 2.0))
  (/ (* (* a1 a1) (cos th)) (sqrt 2.0))
  (fma -1/2 (/ (* (* th th) (* a2 a2)) (sqrt 2.0)) (/ (* a2 a2) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (/ (cos th) (sqrt 2.0)))
2.658 * * * [progress]: adding candidates to table
3.793 * * [progress]: iteration 2 / 4
3.793 * * * [progress]: picking best candidate
3.849 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>
3.849 * * * [progress]: localizing error
3.884 * * * [progress]: generating rewritten candidates
3.885 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
3.893 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
3.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
3.926 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.989 * * * [progress]: generating series expansions
3.989 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
3.990 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
3.990 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
3.990 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
3.990 * [taylor]: Taking taylor expansion of (cos th) in th
3.990 * [taylor]: Taking taylor expansion of th in th
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.990 * [taylor]: Taking taylor expansion of 2.0 in th
3.990 * [backup-simplify]: Simplify 2.0 into 2.0
3.990 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.991 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.991 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
3.991 * [taylor]: Taking taylor expansion of (cos th) in th
3.991 * [taylor]: Taking taylor expansion of th in th
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.991 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
3.991 * [taylor]: Taking taylor expansion of 2.0 in th
3.991 * [backup-simplify]: Simplify 2.0 into 2.0
3.991 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.992 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.993 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.993 * [backup-simplify]: Simplify (+ 0) into 0
3.994 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.997 * [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))))
3.999 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
3.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.001 * [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
4.001 * [backup-simplify]: Simplify 0 into 0
4.003 * [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
4.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.006 * [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)))
4.007 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
4.010 * [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))))
4.011 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.011 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
4.011 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.011 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.011 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.011 * [taylor]: Taking taylor expansion of th in th
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify (/ 1 1) into 1
4.011 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.011 * [taylor]: Taking taylor expansion of 2.0 in th
4.011 * [backup-simplify]: Simplify 2.0 into 2.0
4.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.012 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.012 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.012 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.012 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.012 * [taylor]: Taking taylor expansion of th in th
4.012 * [backup-simplify]: Simplify 0 into 0
4.012 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.020 * [taylor]: Taking taylor expansion of 2.0 in th
4.020 * [backup-simplify]: Simplify 2.0 into 2.0
4.021 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.022 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.022 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.024 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.024 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.027 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.027 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.031 * [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
4.031 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.036 * [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
4.036 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.042 * [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
4.042 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.047 * [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
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.048 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.048 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
4.048 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.048 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.048 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.048 * [taylor]: Taking taylor expansion of -1 in th
4.048 * [backup-simplify]: Simplify -1 into -1
4.048 * [taylor]: Taking taylor expansion of th in th
4.048 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify 1 into 1
4.048 * [backup-simplify]: Simplify (/ -1 1) into -1
4.048 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.048 * [taylor]: Taking taylor expansion of 2.0 in th
4.048 * [backup-simplify]: Simplify 2.0 into 2.0
4.049 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.049 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.050 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.050 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.050 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.050 * [taylor]: Taking taylor expansion of -1 in th
4.050 * [backup-simplify]: Simplify -1 into -1
4.050 * [taylor]: Taking taylor expansion of th in th
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.050 * [backup-simplify]: Simplify (/ -1 1) into -1
4.050 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.050 * [taylor]: Taking taylor expansion of 2.0 in th
4.050 * [backup-simplify]: Simplify 2.0 into 2.0
4.050 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.051 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.052 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.053 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.055 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.057 * [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
4.057 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.060 * [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
4.060 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.063 * [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
4.063 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.067 * [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
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.067 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.068 * [backup-simplify]: Simplify (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos th) (sqrt 2.0))
4.069 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
4.069 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.069 * [taylor]: Taking taylor expansion of (cos th) in th
4.069 * [taylor]: Taking taylor expansion of th in th
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify 1 into 1
4.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.069 * [taylor]: Taking taylor expansion of 2.0 in th
4.069 * [backup-simplify]: Simplify 2.0 into 2.0
4.069 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.070 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.070 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.070 * [taylor]: Taking taylor expansion of (cos th) in th
4.070 * [taylor]: Taking taylor expansion of th in th
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 1 into 1
4.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.070 * [taylor]: Taking taylor expansion of 2.0 in th
4.070 * [backup-simplify]: Simplify 2.0 into 2.0
4.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.071 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.072 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.072 * [backup-simplify]: Simplify (+ 0) into 0
4.073 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.076 * [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))))
4.078 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
4.079 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.083 * [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
4.083 * [backup-simplify]: Simplify 0 into 0
4.086 * [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
4.087 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.091 * [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)))
4.092 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
4.094 * [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))))
4.095 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.096 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
4.096 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.096 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.096 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.096 * [taylor]: Taking taylor expansion of th in th
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (/ 1 1) into 1
4.096 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.096 * [taylor]: Taking taylor expansion of 2.0 in th
4.096 * [backup-simplify]: Simplify 2.0 into 2.0
4.096 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.097 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.097 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.097 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.097 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.097 * [taylor]: Taking taylor expansion of th in th
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.097 * [taylor]: Taking taylor expansion of 2.0 in th
4.097 * [backup-simplify]: Simplify 2.0 into 2.0
4.098 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.098 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.099 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.100 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.100 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.102 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.102 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.104 * [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
4.104 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.107 * [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
4.107 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.110 * [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
4.110 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.114 * [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
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.115 * [backup-simplify]: Simplify (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.115 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
4.115 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.115 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.115 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.115 * [taylor]: Taking taylor expansion of -1 in th
4.115 * [backup-simplify]: Simplify -1 into -1
4.115 * [taylor]: Taking taylor expansion of th in th
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 1 into 1
4.116 * [backup-simplify]: Simplify (/ -1 1) into -1
4.116 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.116 * [taylor]: Taking taylor expansion of 2.0 in th
4.116 * [backup-simplify]: Simplify 2.0 into 2.0
4.116 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.117 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.117 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.117 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.117 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.117 * [taylor]: Taking taylor expansion of -1 in th
4.117 * [backup-simplify]: Simplify -1 into -1
4.117 * [taylor]: Taking taylor expansion of th in th
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 1 into 1
4.117 * [backup-simplify]: Simplify (/ -1 1) into -1
4.117 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.117 * [taylor]: Taking taylor expansion of 2.0 in th
4.117 * [backup-simplify]: Simplify 2.0 into 2.0
4.118 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.118 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.119 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.124 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.124 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.128 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.132 * [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
4.132 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.135 * [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
4.135 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.139 * [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
4.139 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.143 * [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
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.143 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
4.144 * [backup-simplify]: Simplify (/ (cos th) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
4.144 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0
4.144 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
4.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.144 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.144 * [taylor]: Taking taylor expansion of 2.0 in th
4.144 * [backup-simplify]: Simplify 2.0 into 2.0
4.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.145 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.146 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.147 * [taylor]: Taking taylor expansion of (cos th) in th
4.147 * [taylor]: Taking taylor expansion of th in th
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
4.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.147 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.147 * [taylor]: Taking taylor expansion of 2.0 in th
4.147 * [backup-simplify]: Simplify 2.0 into 2.0
4.148 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.149 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.150 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.151 * [taylor]: Taking taylor expansion of (cos th) in th
4.151 * [taylor]: Taking taylor expansion of th in th
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
4.153 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.154 * [backup-simplify]: Simplify (+ 0) into 0
4.154 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
4.154 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.160 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
4.162 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2.0)))))
4.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.166 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
4.166 * [backup-simplify]: Simplify 0 into 0
4.168 * [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
4.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.178 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
4.180 * [backup-simplify]: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) into (* 1/24 (sqrt (/ 1 (sqrt 2.0))))
4.188 * [backup-simplify]: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2.0)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2.0))))) (pow th 2)) (sqrt (/ 1 (sqrt 2.0))))) into (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (sqrt (/ 1 (sqrt 2.0))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow th 2))))
4.189 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2.0))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0))))
4.189 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in (th) around 0
4.189 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th
4.189 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.189 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.189 * [taylor]: Taking taylor expansion of th in th
4.189 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify 1 into 1
4.190 * [backup-simplify]: Simplify (/ 1 1) into 1
4.190 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.190 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.190 * [taylor]: Taking taylor expansion of 2.0 in th
4.190 * [backup-simplify]: Simplify 2.0 into 2.0
4.190 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.192 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.193 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.196 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th
4.196 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.196 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.196 * [taylor]: Taking taylor expansion of th in th
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [backup-simplify]: Simplify (/ 1 1) into 1
4.196 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.196 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.197 * [taylor]: Taking taylor expansion of 2.0 in th
4.197 * [backup-simplify]: Simplify 2.0 into 2.0
4.197 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.199 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.201 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.204 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0))))
4.206 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0))))
4.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.207 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))) into 0
4.213 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))))) into 0
4.219 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.226 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))))) into 0
4.226 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0))))))))) into 0
4.232 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.239 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (sqrt 2.0)))))))))) into 0
4.239 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
4.241 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
4.241 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0
4.241 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
4.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.241 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.241 * [taylor]: Taking taylor expansion of 2.0 in th
4.241 * [backup-simplify]: Simplify 2.0 into 2.0
4.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.243 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.248 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.249 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.249 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.249 * [taylor]: Taking taylor expansion of -1 in th
4.249 * [backup-simplify]: Simplify -1 into -1
4.249 * [taylor]: Taking taylor expansion of th in th
4.249 * [backup-simplify]: Simplify 0 into 0
4.249 * [backup-simplify]: Simplify 1 into 1
4.249 * [backup-simplify]: Simplify (/ -1 1) into -1
4.249 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.249 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
4.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
4.250 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
4.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.250 * [taylor]: Taking taylor expansion of 2.0 in th
4.250 * [backup-simplify]: Simplify 2.0 into 2.0
4.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.251 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.252 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
4.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.253 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.253 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.253 * [taylor]: Taking taylor expansion of -1 in th
4.254 * [backup-simplify]: Simplify -1 into -1
4.254 * [taylor]: Taking taylor expansion of th in th
4.254 * [backup-simplify]: Simplify 0 into 0
4.254 * [backup-simplify]: Simplify 1 into 1
4.254 * [backup-simplify]: Simplify (/ -1 1) into -1
4.254 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.255 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
4.256 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
4.257 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
4.257 * [backup-simplify]: Simplify 0 into 0
4.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.260 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
4.260 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.264 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.267 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))) into 0
4.268 * [backup-simplify]: Simplify 0 into 0
4.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.272 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))))) into 0
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
4.276 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))))))) into 0
4.276 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
4.277 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
4.277 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.278 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0
4.278 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
4.278 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
4.278 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.278 * [taylor]: Taking taylor expansion of a1 in a1
4.278 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify 1 into 1
4.278 * [taylor]: Taking taylor expansion of (cos th) in a1
4.278 * [taylor]: Taking taylor expansion of th in a1
4.278 * [backup-simplify]: Simplify th into th
4.278 * [backup-simplify]: Simplify (cos th) into (cos th)
4.278 * [backup-simplify]: Simplify (sin th) into (sin th)
4.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.278 * [taylor]: Taking taylor expansion of 2.0 in a1
4.278 * [backup-simplify]: Simplify 2.0 into 2.0
4.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.279 * [backup-simplify]: Simplify (* 1 1) into 1
4.279 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.279 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.279 * [backup-simplify]: Simplify (- 0) into 0
4.279 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.279 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
4.279 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.279 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
4.279 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
4.280 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.280 * [taylor]: Taking taylor expansion of a1 in th
4.280 * [backup-simplify]: Simplify a1 into a1
4.280 * [taylor]: Taking taylor expansion of (cos th) in th
4.280 * [taylor]: Taking taylor expansion of th in th
4.280 * [backup-simplify]: Simplify 0 into 0
4.280 * [backup-simplify]: Simplify 1 into 1
4.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.280 * [taylor]: Taking taylor expansion of 2.0 in th
4.280 * [backup-simplify]: Simplify 2.0 into 2.0
4.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.280 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.281 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
4.281 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
4.281 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
4.281 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
4.281 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.281 * [taylor]: Taking taylor expansion of a1 in th
4.281 * [backup-simplify]: Simplify a1 into a1
4.281 * [taylor]: Taking taylor expansion of (cos th) in th
4.281 * [taylor]: Taking taylor expansion of th in th
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.281 * [taylor]: Taking taylor expansion of 2.0 in th
4.281 * [backup-simplify]: Simplify 2.0 into 2.0
4.281 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.282 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.282 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
4.282 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
4.282 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
4.282 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.282 * [taylor]: Taking taylor expansion of a1 in a1
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 1 into 1
4.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.282 * [taylor]: Taking taylor expansion of 2.0 in a1
4.282 * [backup-simplify]: Simplify 2.0 into 2.0
4.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.283 * [backup-simplify]: Simplify (* 1 1) into 1
4.284 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.284 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.285 * [backup-simplify]: Simplify (+ 0) into 0
4.285 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.285 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0
4.287 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.287 * [taylor]: Taking taylor expansion of 0 in a1
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.289 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.289 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.290 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.291 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2)))
4.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.295 * [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))))
4.295 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1
4.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1
4.295 * [taylor]: Taking taylor expansion of 1/2 in a1
4.295 * [backup-simplify]: Simplify 1/2 into 1/2
4.295 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1
4.295 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.295 * [taylor]: Taking taylor expansion of a1 in a1
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 1 into 1
4.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.295 * [taylor]: Taking taylor expansion of 2.0 in a1
4.295 * [backup-simplify]: Simplify 2.0 into 2.0
4.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.297 * [backup-simplify]: Simplify (* 1 1) into 1
4.298 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.299 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
4.301 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
4.304 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
4.304 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.307 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.307 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.309 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.311 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
4.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.316 * [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
4.316 * [taylor]: Taking taylor expansion of 0 in a1
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.318 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
4.319 * [backup-simplify]: Simplify (- 0) into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.323 * [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
4.323 * [backup-simplify]: Simplify 0 into 0
4.327 * [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))))
4.327 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a1) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
4.327 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in (th a1) around 0
4.328 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
4.328 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.328 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.328 * [taylor]: Taking taylor expansion of th in a1
4.328 * [backup-simplify]: Simplify th into th
4.328 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.328 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.328 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.328 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
4.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.328 * [taylor]: Taking taylor expansion of 2.0 in a1
4.328 * [backup-simplify]: Simplify 2.0 into 2.0
4.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.329 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.329 * [taylor]: Taking taylor expansion of a1 in a1
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.330 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.330 * [backup-simplify]: Simplify (- 0) into 0
4.330 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.330 * [backup-simplify]: Simplify (* 1 1) into 1
4.331 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.332 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.332 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
4.332 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.332 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.332 * [taylor]: Taking taylor expansion of th in th
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 1 into 1
4.332 * [backup-simplify]: Simplify (/ 1 1) into 1
4.332 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
4.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.333 * [taylor]: Taking taylor expansion of 2.0 in th
4.333 * [backup-simplify]: Simplify 2.0 into 2.0
4.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.334 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.334 * [taylor]: Taking taylor expansion of a1 in th
4.334 * [backup-simplify]: Simplify a1 into a1
4.334 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.334 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
4.335 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
4.335 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
4.335 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.335 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.335 * [taylor]: Taking taylor expansion of th in th
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.336 * [backup-simplify]: Simplify (/ 1 1) into 1
4.336 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.336 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
4.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.336 * [taylor]: Taking taylor expansion of 2.0 in th
4.336 * [backup-simplify]: Simplify 2.0 into 2.0
4.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.337 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.337 * [taylor]: Taking taylor expansion of a1 in th
4.337 * [backup-simplify]: Simplify a1 into a1
4.337 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.338 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
4.338 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
4.338 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
4.339 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.339 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.339 * [taylor]: Taking taylor expansion of th in a1
4.339 * [backup-simplify]: Simplify th into th
4.339 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.339 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.339 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.339 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
4.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.339 * [taylor]: Taking taylor expansion of 2.0 in a1
4.339 * [backup-simplify]: Simplify 2.0 into 2.0
4.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.340 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.340 * [taylor]: Taking taylor expansion of a1 in a1
4.340 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify 1 into 1
4.340 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.341 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.341 * [backup-simplify]: Simplify (- 0) into 0
4.341 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.341 * [backup-simplify]: Simplify (* 1 1) into 1
4.342 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.343 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.343 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.344 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a1 2))) into 0
4.346 * [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
4.346 * [taylor]: Taking taylor expansion of 0 in a1
4.346 * [backup-simplify]: Simplify 0 into 0
4.347 * [backup-simplify]: Simplify (+ 0) into 0
4.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.349 * [backup-simplify]: Simplify (- 0) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.356 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0
4.358 * [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
4.358 * [taylor]: Taking taylor expansion of 0 in a1
4.358 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.362 * [backup-simplify]: Simplify (- 0) into 0
4.362 * [backup-simplify]: Simplify (+ 0 0) into 0
4.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.365 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.367 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.367 * [backup-simplify]: Simplify 0 into 0
4.368 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.376 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0
4.379 * [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
4.379 * [taylor]: Taking taylor expansion of 0 in a1
4.379 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.384 * [backup-simplify]: Simplify (- 0) into 0
4.385 * [backup-simplify]: Simplify (+ 0 0) into 0
4.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.389 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.392 * [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
4.392 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
4.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.396 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0
4.400 * [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
4.400 * [taylor]: Taking taylor expansion of 0 in a1
4.400 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify 0 into 0
4.401 * [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))
4.403 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
4.403 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in (th a1) around 0
4.403 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
4.403 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.403 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.403 * [taylor]: Taking taylor expansion of -1 in a1
4.403 * [backup-simplify]: Simplify -1 into -1
4.403 * [taylor]: Taking taylor expansion of th in a1
4.403 * [backup-simplify]: Simplify th into th
4.403 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.403 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.403 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
4.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.403 * [taylor]: Taking taylor expansion of 2.0 in a1
4.403 * [backup-simplify]: Simplify 2.0 into 2.0
4.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.404 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.404 * [taylor]: Taking taylor expansion of a1 in a1
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.404 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.405 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.405 * [backup-simplify]: Simplify (- 0) into 0
4.405 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.405 * [backup-simplify]: Simplify (* 1 1) into 1
4.406 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.407 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.407 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in th
4.407 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.407 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.407 * [taylor]: Taking taylor expansion of -1 in th
4.407 * [backup-simplify]: Simplify -1 into -1
4.407 * [taylor]: Taking taylor expansion of th in th
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 1 into 1
4.407 * [backup-simplify]: Simplify (/ -1 1) into -1
4.408 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
4.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.408 * [taylor]: Taking taylor expansion of 2.0 in th
4.408 * [backup-simplify]: Simplify 2.0 into 2.0
4.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.409 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.409 * [taylor]: Taking taylor expansion of a1 in th
4.409 * [backup-simplify]: Simplify a1 into a1
4.409 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.409 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
4.410 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
4.410 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in th
4.410 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.410 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.410 * [taylor]: Taking taylor expansion of -1 in th
4.410 * [backup-simplify]: Simplify -1 into -1
4.410 * [taylor]: Taking taylor expansion of th in th
4.410 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify 1 into 1
4.411 * [backup-simplify]: Simplify (/ -1 1) into -1
4.411 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.411 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
4.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.411 * [taylor]: Taking taylor expansion of 2.0 in th
4.411 * [backup-simplify]: Simplify 2.0 into 2.0
4.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.412 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.412 * [taylor]: Taking taylor expansion of a1 in th
4.412 * [backup-simplify]: Simplify a1 into a1
4.412 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.413 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
4.414 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2)))
4.414 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
4.414 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.414 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.414 * [taylor]: Taking taylor expansion of -1 in a1
4.414 * [backup-simplify]: Simplify -1 into -1
4.414 * [taylor]: Taking taylor expansion of th in a1
4.414 * [backup-simplify]: Simplify th into th
4.414 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.414 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.414 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.414 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
4.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.414 * [taylor]: Taking taylor expansion of 2.0 in a1
4.414 * [backup-simplify]: Simplify 2.0 into 2.0
4.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.415 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.415 * [taylor]: Taking taylor expansion of a1 in a1
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.416 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.416 * [backup-simplify]: Simplify (- 0) into 0
4.416 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.416 * [backup-simplify]: Simplify (* 1 1) into 1
4.417 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.418 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.418 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.418 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
4.419 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a1 2))) into 0
4.421 * [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
4.421 * [taylor]: Taking taylor expansion of 0 in a1
4.421 * [backup-simplify]: Simplify 0 into 0
4.421 * [backup-simplify]: Simplify (+ 0) into 0
4.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.422 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.424 * [backup-simplify]: Simplify (- 0) into 0
4.424 * [backup-simplify]: Simplify (+ 0 0) into 0
4.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.425 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.427 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.427 * [backup-simplify]: Simplify 0 into 0
4.427 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0
4.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.430 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0
4.432 * [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
4.432 * [taylor]: Taking taylor expansion of 0 in a1
4.432 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.434 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -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 (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.436 * [backup-simplify]: Simplify (- 0) into 0
4.436 * [backup-simplify]: Simplify (+ 0 0) into 0
4.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.439 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.442 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.442 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0
4.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.445 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0
4.448 * [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
4.448 * [taylor]: Taking taylor expansion of 0 in a1
4.449 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.451 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.453 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.454 * [backup-simplify]: Simplify (- 0) into 0
4.454 * [backup-simplify]: Simplify (+ 0 0) into 0
4.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.458 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.461 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0
4.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.466 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0
4.470 * [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
4.470 * [taylor]: Taking taylor expansion of 0 in a1
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 0 into 0
4.471 * [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))
4.471 * * * [progress]: simplifying candidates
4.480 * [simplify]: Simplifying:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (- (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))
  (expm1 (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (log1p (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (- (/ (cos th) (sqrt (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1)
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) 1)
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt 1)))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt 1))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) 1)
  (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
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  (/ (/ (cos th) (sqrt (sqrt 2.0))) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (expm1 (/ (cos th) (sqrt (sqrt 2.0))))
  (log1p (/ (cos th) (sqrt (sqrt 2.0))))
  (- (log (cos th)) (log (sqrt (sqrt 2.0))))
  (log (/ (cos th) (sqrt (sqrt 2.0))))
  (exp (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (cbrt (/ (cos th) (sqrt (sqrt 2.0))))
  (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (- (cos th))
  (- (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) 1)
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt 1)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt 1))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (cos th)) 1)
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (cbrt 2.0))))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 (sqrt 1))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ 1 1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt (sqrt 1)))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) (sqrt 1))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (/ (cos th) 1)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (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))
  (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (sqrt (/ 1 (sqrt 2.0))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow th 2))))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
  (- (/ (pow 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))
4.490 * * [simplify]: iteration 0: 485 enodes
4.720 * * [simplify]: iteration 1: 1134 enodes
5.204 * * [simplify]: iteration 2: 2811 enodes
5.832 * * [simplify]: iteration complete: 5000 enodes
5.833 * * [simplify]: Extracting #0: cost 249 inf + 0
5.836 * * [simplify]: Extracting #1: cost 1536 inf + 1
5.843 * * [simplify]: Extracting #2: cost 2084 inf + 1556
5.871 * * [simplify]: Extracting #3: cost 1487 inf + 136348
5.981 * * [simplify]: Extracting #4: cost 355 inf + 472580
6.106 * * [simplify]: Extracting #5: cost 24 inf + 595381
6.248 * * [simplify]: Extracting #6: cost 0 inf + 605450
6.387 * * [simplify]: Extracting #7: cost 0 inf + 605410
6.498 * [simplify]: Simplified to:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (* (/ (cos th) (sqrt 2.0)) (/ (* (cos th) (cos th)) 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 (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (* (/ (cos th) (sqrt 2.0)) (/ (* (cos th) (cos th)) 2.0))
  (* (/ (cos th) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (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 (sqrt 2.0))))
  (- (sqrt (sqrt 2.0)))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))))
  (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (fabs (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
  (sqrt (/ (cos th) (sqrt (sqrt 2.0))))
  (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (sqrt (fabs (cbrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
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  (/ (cos th) (fabs (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (fabs (cbrt 2.0))))
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (cos th) (sqrt (sqrt (sqrt 2.0))))
  (cos th)
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (* (/ (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)) (* (cos th) (cos th))) (/ (sqrt 2.0) (/ (cos th) 2.0)))
  (/ (* (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (cos th) (cos th))) (/ (sqrt 2.0) (/ (cos th) 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)) (/ (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) a1) (sqrt 2.0))
  (* (* (cbrt (/ (cos th) (sqrt 2.0))) a1) a1)
  (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1))
  (* (* a1 a1) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (/ (* (cbrt (cos th)) (* a1 a1)) (sqrt (sqrt 2.0)))
  (* (/ (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))
  (* (* a1 a1) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (* a1 a1) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1))
  (/ (* (cos th) (* a1 a1)) (sqrt (cbrt 2.0)))
  (* (/ (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))
  (/ a1 (/ (sqrt 2.0) a1))
  (* (cos th) (* a1 a1))
  (fma -1/2 (/ (* th th) (sqrt 2.0)) (fma 1/24 (/ (* (* th th) (* th th)) (sqrt 2.0)) (/ 1 (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (fma -1/2 (/ (* th th) (sqrt 2.0)) (fma 1/24 (/ (* (* th th) (* th th)) (sqrt 2.0)) (/ 1 (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (- (fma 1/24 (* (* (* th th) (* th th)) (sqrt (/ 1 (sqrt 2.0)))) (sqrt (/ 1 (sqrt 2.0)))) (* (sqrt (/ 1 (sqrt 2.0))) (* 1/2 (* th th))))
  (* (cos th) (sqrt (/ 1 (sqrt 2.0))))
  (* (cos th) (sqrt (/ 1 (sqrt 2.0))))
  (fma (* (/ a1 (/ (sqrt 2.0) a1)) (* th th)) -1/2 (/ a1 (/ (sqrt 2.0) a1)))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
6.591 * * * [progress]: adding candidates to table
8.838 * * [progress]: iteration 3 / 4
8.838 * * * [progress]: picking best candidate
8.876 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
8.876 * * * [progress]: localizing error
8.899 * * * [progress]: generating rewritten candidates
8.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
8.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
8.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
8.954 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
8.991 * * * [progress]: generating series expansions
8.991 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
8.992 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
8.992 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
8.992 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
8.992 * [taylor]: Taking taylor expansion of (cos th) in th
8.992 * [taylor]: Taking taylor expansion of th in th
8.992 * [backup-simplify]: Simplify 0 into 0
8.992 * [backup-simplify]: Simplify 1 into 1
8.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.992 * [taylor]: Taking taylor expansion of 2.0 in th
8.992 * [backup-simplify]: Simplify 2.0 into 2.0
8.993 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.993 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.994 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
8.994 * [taylor]: Taking taylor expansion of (cos th) in th
8.994 * [taylor]: Taking taylor expansion of th in th
8.994 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify 1 into 1
8.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
8.994 * [taylor]: Taking taylor expansion of 2.0 in th
8.994 * [backup-simplify]: Simplify 2.0 into 2.0
8.994 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.995 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.995 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
8.996 * [backup-simplify]: Simplify (+ 0) into 0
8.996 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
8.996 * [backup-simplify]: Simplify 0 into 0
8.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
8.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.000 * [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))))
9.001 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
9.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.004 * [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
9.004 * [backup-simplify]: Simplify 0 into 0
9.005 * [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
9.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.009 * [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)))
9.010 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
9.013 * [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))))
9.013 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.013 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
9.013 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
9.013 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.013 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.013 * [taylor]: Taking taylor expansion of th in th
9.013 * [backup-simplify]: Simplify 0 into 0
9.013 * [backup-simplify]: Simplify 1 into 1
9.013 * [backup-simplify]: Simplify (/ 1 1) into 1
9.014 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.014 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.014 * [taylor]: Taking taylor expansion of 2.0 in th
9.014 * [backup-simplify]: Simplify 2.0 into 2.0
9.014 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.015 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.015 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
9.015 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.015 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.015 * [taylor]: Taking taylor expansion of th in th
9.015 * [backup-simplify]: Simplify 0 into 0
9.015 * [backup-simplify]: Simplify 1 into 1
9.015 * [backup-simplify]: Simplify (/ 1 1) into 1
9.015 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.015 * [taylor]: Taking taylor expansion of 2.0 in th
9.015 * [backup-simplify]: Simplify 2.0 into 2.0
9.015 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.016 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.016 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.018 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.018 * [backup-simplify]: Simplify 0 into 0
9.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.021 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.021 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.025 * [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
9.026 * [backup-simplify]: Simplify 0 into 0
9.027 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.030 * [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
9.030 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.040 * [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
9.040 * [backup-simplify]: Simplify 0 into 0
9.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.046 * [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
9.046 * [backup-simplify]: Simplify 0 into 0
9.047 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
9.047 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.047 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
9.047 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
9.047 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.047 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.047 * [taylor]: Taking taylor expansion of -1 in th
9.048 * [backup-simplify]: Simplify -1 into -1
9.048 * [taylor]: Taking taylor expansion of th in th
9.048 * [backup-simplify]: Simplify 0 into 0
9.048 * [backup-simplify]: Simplify 1 into 1
9.048 * [backup-simplify]: Simplify (/ -1 1) into -1
9.048 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.048 * [taylor]: Taking taylor expansion of 2.0 in th
9.048 * [backup-simplify]: Simplify 2.0 into 2.0
9.049 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.050 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.050 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
9.050 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.050 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.050 * [taylor]: Taking taylor expansion of -1 in th
9.050 * [backup-simplify]: Simplify -1 into -1
9.050 * [taylor]: Taking taylor expansion of th in th
9.050 * [backup-simplify]: Simplify 0 into 0
9.050 * [backup-simplify]: Simplify 1 into 1
9.051 * [backup-simplify]: Simplify (/ -1 1) into -1
9.051 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.051 * [taylor]: Taking taylor expansion of 2.0 in th
9.051 * [backup-simplify]: Simplify 2.0 into 2.0
9.052 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.053 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.054 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.056 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.056 * [backup-simplify]: Simplify 0 into 0
9.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.059 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.059 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.063 * [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
9.064 * [backup-simplify]: Simplify 0 into 0
9.065 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.068 * [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
9.068 * [backup-simplify]: Simplify 0 into 0
9.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.074 * [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
9.074 * [backup-simplify]: Simplify 0 into 0
9.075 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.080 * [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
9.080 * [backup-simplify]: Simplify 0 into 0
9.080 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
9.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
9.081 * [backup-simplify]: Simplify (* (* a1 a1) (cos th)) into (* (pow a1 2) (cos th))
9.081 * [approximate]: Taking taylor expansion of (* (pow a1 2) (cos th)) in (a1 th) around 0
9.081 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
9.081 * [taylor]: Taking taylor expansion of (pow a1 2) in th
9.081 * [taylor]: Taking taylor expansion of a1 in th
9.081 * [backup-simplify]: Simplify a1 into a1
9.081 * [taylor]: Taking taylor expansion of (cos th) in th
9.081 * [taylor]: Taking taylor expansion of th in th
9.081 * [backup-simplify]: Simplify 0 into 0
9.081 * [backup-simplify]: Simplify 1 into 1
9.081 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
9.081 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.081 * [taylor]: Taking taylor expansion of a1 in a1
9.081 * [backup-simplify]: Simplify 0 into 0
9.081 * [backup-simplify]: Simplify 1 into 1
9.081 * [taylor]: Taking taylor expansion of (cos th) in a1
9.081 * [taylor]: Taking taylor expansion of th in a1
9.081 * [backup-simplify]: Simplify th into th
9.081 * [backup-simplify]: Simplify (cos th) into (cos th)
9.081 * [backup-simplify]: Simplify (sin th) into (sin th)
9.081 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
9.081 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.081 * [taylor]: Taking taylor expansion of a1 in a1
9.081 * [backup-simplify]: Simplify 0 into 0
9.081 * [backup-simplify]: Simplify 1 into 1
9.082 * [taylor]: Taking taylor expansion of (cos th) in a1
9.082 * [taylor]: Taking taylor expansion of th in a1
9.082 * [backup-simplify]: Simplify th into th
9.082 * [backup-simplify]: Simplify (cos th) into (cos th)
9.082 * [backup-simplify]: Simplify (sin th) into (sin th)
9.082 * [backup-simplify]: Simplify (* 1 1) into 1
9.082 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
9.082 * [backup-simplify]: Simplify (* (sin th) 0) into 0
9.083 * [backup-simplify]: Simplify (- 0) into 0
9.083 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
9.083 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
9.083 * [taylor]: Taking taylor expansion of (cos th) in th
9.083 * [taylor]: Taking taylor expansion of th in th
9.083 * [backup-simplify]: Simplify 0 into 0
9.083 * [backup-simplify]: Simplify 1 into 1
9.083 * [backup-simplify]: Simplify 1 into 1
9.083 * [backup-simplify]: Simplify (+ 0) into 0
9.084 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
9.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.085 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
9.086 * [backup-simplify]: Simplify (- 0) into 0
9.086 * [backup-simplify]: Simplify (+ 0 0) into 0
9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos th))) into 0
9.087 * [taylor]: Taking taylor expansion of 0 in th
9.087 * [backup-simplify]: Simplify 0 into 0
9.087 * [backup-simplify]: Simplify 0 into 0
9.088 * [backup-simplify]: Simplify (+ 0) into 0
9.088 * [backup-simplify]: Simplify 0 into 0
9.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.089 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
9.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.090 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
9.090 * [backup-simplify]: Simplify (- 0) into 0
9.090 * [backup-simplify]: Simplify (+ 0 0) into 0
9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos th)))) into 0
9.091 * [taylor]: Taking taylor expansion of 0 in th
9.091 * [backup-simplify]: Simplify 0 into 0
9.091 * [backup-simplify]: Simplify 0 into 0
9.091 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
9.092 * [backup-simplify]: Simplify -1/2 into -1/2
9.093 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.093 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.094 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.095 * [backup-simplify]: Simplify (- 0) into 0
9.095 * [backup-simplify]: Simplify (+ 0 0) into 0
9.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos th))))) into 0
9.096 * [taylor]: Taking taylor expansion of 0 in th
9.096 * [backup-simplify]: Simplify 0 into 0
9.096 * [backup-simplify]: Simplify 0 into 0
9.096 * [backup-simplify]: Simplify 0 into 0
9.096 * [backup-simplify]: Simplify 0 into 0
9.097 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.097 * [backup-simplify]: Simplify 0 into 0
9.098 * [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
9.099 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.100 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
9.101 * [backup-simplify]: Simplify (- 0) into 0
9.101 * [backup-simplify]: Simplify (+ 0 0) into 0
9.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos th)))))) into 0
9.102 * [taylor]: Taking taylor expansion of 0 in th
9.102 * [backup-simplify]: Simplify 0 into 0
9.102 * [backup-simplify]: Simplify 0 into 0
9.102 * [backup-simplify]: Simplify 0 into 0
9.103 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* th a1) 2)) (* 1 (pow (* 1 a1) 2))) into (- (pow a1 2) (* 1/2 (* (pow a1 2) (pow th 2))))
9.103 * [backup-simplify]: Simplify (* (* (/ 1 a1) (/ 1 a1)) (cos (/ 1 th))) into (/ (cos (/ 1 th)) (pow a1 2))
9.103 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a1 2)) in (a1 th) around 0
9.103 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a1 2)) in th
9.103 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.103 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.103 * [taylor]: Taking taylor expansion of th in th
9.103 * [backup-simplify]: Simplify 0 into 0
9.103 * [backup-simplify]: Simplify 1 into 1
9.103 * [backup-simplify]: Simplify (/ 1 1) into 1
9.103 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.103 * [taylor]: Taking taylor expansion of (pow a1 2) in th
9.103 * [taylor]: Taking taylor expansion of a1 in th
9.103 * [backup-simplify]: Simplify a1 into a1
9.103 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
9.104 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (pow a1 2)) into (/ (cos (/ 1 th)) (pow a1 2))
9.104 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a1 2)) in a1
9.104 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
9.104 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
9.104 * [taylor]: Taking taylor expansion of th in a1
9.104 * [backup-simplify]: Simplify th into th
9.104 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.104 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.104 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.104 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.104 * [taylor]: Taking taylor expansion of a1 in a1
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify 1 into 1
9.104 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.104 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
9.104 * [backup-simplify]: Simplify (- 0) into 0
9.104 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
9.105 * [backup-simplify]: Simplify (* 1 1) into 1
9.105 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.105 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a1 2)) in a1
9.105 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
9.105 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
9.105 * [taylor]: Taking taylor expansion of th in a1
9.105 * [backup-simplify]: Simplify th into th
9.105 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.105 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.105 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.105 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.105 * [taylor]: Taking taylor expansion of a1 in a1
9.105 * [backup-simplify]: Simplify 0 into 0
9.105 * [backup-simplify]: Simplify 1 into 1
9.105 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.105 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
9.105 * [backup-simplify]: Simplify (- 0) into 0
9.105 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
9.106 * [backup-simplify]: Simplify (* 1 1) into 1
9.106 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.106 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.106 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.106 * [taylor]: Taking taylor expansion of th in th
9.106 * [backup-simplify]: Simplify 0 into 0
9.106 * [backup-simplify]: Simplify 1 into 1
9.106 * [backup-simplify]: Simplify (/ 1 1) into 1
9.106 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.106 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.106 * [backup-simplify]: Simplify (+ 0) into 0
9.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
9.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
9.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
9.108 * [backup-simplify]: Simplify (- 0) into 0
9.108 * [backup-simplify]: Simplify (+ 0 0) into 0
9.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
9.109 * [taylor]: Taking taylor expansion of 0 in th
9.109 * [backup-simplify]: Simplify 0 into 0
9.109 * [backup-simplify]: Simplify 0 into 0
9.109 * [backup-simplify]: Simplify 0 into 0
9.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.111 * [backup-simplify]: Simplify (- 0) into 0
9.111 * [backup-simplify]: Simplify (+ 0 0) into 0
9.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.113 * [taylor]: Taking taylor expansion of 0 in th
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.114 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.116 * [backup-simplify]: Simplify (- 0) into 0
9.116 * [backup-simplify]: Simplify (+ 0 0) into 0
9.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.118 * [taylor]: Taking taylor expansion of 0 in th
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 th))) (pow (* 1 (/ 1 (/ 1 a1))) 2)) into (* (pow a1 2) (cos th))
9.118 * [backup-simplify]: Simplify (* (* (/ 1 (- a1)) (/ 1 (- a1))) (cos (/ 1 (- th)))) into (/ (cos (/ -1 th)) (pow a1 2))
9.118 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a1 2)) in (a1 th) around 0
9.118 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a1 2)) in th
9.118 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.118 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.118 * [taylor]: Taking taylor expansion of -1 in th
9.118 * [backup-simplify]: Simplify -1 into -1
9.118 * [taylor]: Taking taylor expansion of th in th
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 1 into 1
9.119 * [backup-simplify]: Simplify (/ -1 1) into -1
9.119 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.119 * [taylor]: Taking taylor expansion of (pow a1 2) in th
9.119 * [taylor]: Taking taylor expansion of a1 in th
9.119 * [backup-simplify]: Simplify a1 into a1
9.119 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
9.119 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (pow a1 2)) into (/ (cos (/ -1 th)) (pow a1 2))
9.119 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a1 2)) in a1
9.119 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
9.119 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
9.119 * [taylor]: Taking taylor expansion of -1 in a1
9.119 * [backup-simplify]: Simplify -1 into -1
9.119 * [taylor]: Taking taylor expansion of th in a1
9.119 * [backup-simplify]: Simplify th into th
9.119 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.119 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.119 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.119 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.119 * [taylor]: Taking taylor expansion of a1 in a1
9.119 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify 1 into 1
9.119 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.119 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
9.120 * [backup-simplify]: Simplify (- 0) into 0
9.120 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
9.120 * [backup-simplify]: Simplify (* 1 1) into 1
9.120 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.120 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a1 2)) in a1
9.120 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
9.120 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
9.120 * [taylor]: Taking taylor expansion of -1 in a1
9.120 * [backup-simplify]: Simplify -1 into -1
9.120 * [taylor]: Taking taylor expansion of th in a1
9.120 * [backup-simplify]: Simplify th into th
9.120 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.120 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.120 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.120 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.120 * [taylor]: Taking taylor expansion of a1 in a1
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 1 into 1
9.120 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.121 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
9.121 * [backup-simplify]: Simplify (- 0) into 0
9.121 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
9.121 * [backup-simplify]: Simplify (* 1 1) into 1
9.121 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.121 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.121 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.121 * [taylor]: Taking taylor expansion of -1 in th
9.121 * [backup-simplify]: Simplify -1 into -1
9.121 * [taylor]: Taking taylor expansion of th in th
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.122 * [backup-simplify]: Simplify (/ -1 1) into -1
9.122 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.122 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.122 * [backup-simplify]: Simplify (+ 0) into 0
9.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
9.123 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
9.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
9.124 * [backup-simplify]: Simplify (- 0) into 0
9.124 * [backup-simplify]: Simplify (+ 0 0) into 0
9.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
9.125 * [taylor]: Taking taylor expansion of 0 in th
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 0 into 0
9.126 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.126 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.127 * [backup-simplify]: Simplify (- 0) into 0
9.128 * [backup-simplify]: Simplify (+ 0 0) into 0
9.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.129 * [taylor]: Taking taylor expansion of 0 in th
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.130 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.132 * [backup-simplify]: Simplify (- 0) into 0
9.132 * [backup-simplify]: Simplify (+ 0 0) into 0
9.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.134 * [taylor]: Taking taylor expansion of 0 in th
9.134 * [backup-simplify]: Simplify 0 into 0
9.134 * [backup-simplify]: Simplify 0 into 0
9.134 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- th)))) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) into (* (pow a1 2) (cos th))
9.134 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
9.134 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
9.135 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
9.135 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
9.135 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
9.135 * [taylor]: Taking taylor expansion of (cos th) in a2
9.135 * [taylor]: Taking taylor expansion of th in a2
9.135 * [backup-simplify]: Simplify th into th
9.135 * [backup-simplify]: Simplify (cos th) into (cos th)
9.135 * [backup-simplify]: Simplify (sin th) into (sin th)
9.135 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.135 * [taylor]: Taking taylor expansion of a2 in a2
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 1 into 1
9.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.135 * [taylor]: Taking taylor expansion of 2.0 in a2
9.135 * [backup-simplify]: Simplify 2.0 into 2.0
9.135 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.136 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
9.136 * [backup-simplify]: Simplify (* (sin th) 0) into 0
9.136 * [backup-simplify]: Simplify (- 0) into 0
9.136 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
9.136 * [backup-simplify]: Simplify (* 1 1) into 1
9.136 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
9.136 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
9.137 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
9.137 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
9.137 * [taylor]: Taking taylor expansion of (cos th) in th
9.137 * [taylor]: Taking taylor expansion of th in th
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 1 into 1
9.137 * [taylor]: Taking taylor expansion of (pow a2 2) in th
9.137 * [taylor]: Taking taylor expansion of a2 in th
9.137 * [backup-simplify]: Simplify a2 into a2
9.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.137 * [taylor]: Taking taylor expansion of 2.0 in th
9.137 * [backup-simplify]: Simplify 2.0 into 2.0
9.137 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.137 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
9.138 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
9.138 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
9.138 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
9.138 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
9.138 * [taylor]: Taking taylor expansion of (cos th) in th
9.138 * [taylor]: Taking taylor expansion of th in th
9.138 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify 1 into 1
9.138 * [taylor]: Taking taylor expansion of (pow a2 2) in th
9.138 * [taylor]: Taking taylor expansion of a2 in th
9.138 * [backup-simplify]: Simplify a2 into a2
9.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.138 * [taylor]: Taking taylor expansion of 2.0 in th
9.138 * [backup-simplify]: Simplify 2.0 into 2.0
9.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.139 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
9.139 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
9.139 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
9.139 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
9.139 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.139 * [taylor]: Taking taylor expansion of a2 in a2
9.139 * [backup-simplify]: Simplify 0 into 0
9.139 * [backup-simplify]: Simplify 1 into 1
9.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.139 * [taylor]: Taking taylor expansion of 2.0 in a2
9.139 * [backup-simplify]: Simplify 2.0 into 2.0
9.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.140 * [backup-simplify]: Simplify (* 1 1) into 1
9.141 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
9.141 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
9.141 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
9.142 * [backup-simplify]: Simplify (+ 0) into 0
9.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0
9.143 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.143 * [taylor]: Taking taylor expansion of 0 in a2
9.143 * [backup-simplify]: Simplify 0 into 0
9.143 * [backup-simplify]: Simplify 0 into 0
9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.144 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
9.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
9.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2)))
9.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.151 * [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))))
9.151 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
9.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
9.151 * [taylor]: Taking taylor expansion of 1/2 in a2
9.151 * [backup-simplify]: Simplify 1/2 into 1/2
9.152 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
9.152 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.152 * [taylor]: Taking taylor expansion of a2 in a2
9.152 * [backup-simplify]: Simplify 0 into 0
9.152 * [backup-simplify]: Simplify 1 into 1
9.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.152 * [taylor]: Taking taylor expansion of 2.0 in a2
9.152 * [backup-simplify]: Simplify 2.0 into 2.0
9.152 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.153 * [backup-simplify]: Simplify (* 1 1) into 1
9.153 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
9.154 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
9.155 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
9.156 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
9.156 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.158 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.158 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.158 * [backup-simplify]: Simplify 0 into 0
9.159 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
9.160 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0
9.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.164 * [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
9.165 * [taylor]: Taking taylor expansion of 0 in a2
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.166 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
9.168 * [backup-simplify]: Simplify (- 0) into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.171 * [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
9.171 * [backup-simplify]: Simplify 0 into 0
9.175 * [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))))
9.176 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
9.176 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
9.176 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
9.176 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
9.176 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
9.176 * [taylor]: Taking taylor expansion of th in a2
9.176 * [backup-simplify]: Simplify th into th
9.176 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.176 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.176 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
9.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.177 * [taylor]: Taking taylor expansion of 2.0 in a2
9.177 * [backup-simplify]: Simplify 2.0 into 2.0
9.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.178 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.178 * [taylor]: Taking taylor expansion of a2 in a2
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify 1 into 1
9.178 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.178 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
9.178 * [backup-simplify]: Simplify (- 0) into 0
9.179 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
9.179 * [backup-simplify]: Simplify (* 1 1) into 1
9.180 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.180 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.180 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
9.180 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.180 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.180 * [taylor]: Taking taylor expansion of th in th
9.180 * [backup-simplify]: Simplify 0 into 0
9.180 * [backup-simplify]: Simplify 1 into 1
9.181 * [backup-simplify]: Simplify (/ 1 1) into 1
9.181 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.181 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
9.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.181 * [taylor]: Taking taylor expansion of 2.0 in th
9.181 * [backup-simplify]: Simplify 2.0 into 2.0
9.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.182 * [taylor]: Taking taylor expansion of (pow a2 2) in th
9.182 * [taylor]: Taking taylor expansion of a2 in th
9.182 * [backup-simplify]: Simplify a2 into a2
9.182 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
9.182 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
9.182 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
9.182 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
9.182 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.183 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.183 * [taylor]: Taking taylor expansion of th in th
9.183 * [backup-simplify]: Simplify 0 into 0
9.183 * [backup-simplify]: Simplify 1 into 1
9.183 * [backup-simplify]: Simplify (/ 1 1) into 1
9.183 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
9.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.183 * [taylor]: Taking taylor expansion of 2.0 in th
9.183 * [backup-simplify]: Simplify 2.0 into 2.0
9.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.184 * [taylor]: Taking taylor expansion of (pow a2 2) in th
9.184 * [taylor]: Taking taylor expansion of a2 in th
9.184 * [backup-simplify]: Simplify a2 into a2
9.184 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
9.184 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
9.184 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
9.184 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
9.184 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
9.185 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
9.185 * [taylor]: Taking taylor expansion of th in a2
9.185 * [backup-simplify]: Simplify th into th
9.185 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.185 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.185 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.185 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
9.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.185 * [taylor]: Taking taylor expansion of 2.0 in a2
9.185 * [backup-simplify]: Simplify 2.0 into 2.0
9.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.185 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.185 * [taylor]: Taking taylor expansion of a2 in a2
9.185 * [backup-simplify]: Simplify 0 into 0
9.186 * [backup-simplify]: Simplify 1 into 1
9.186 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.186 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
9.186 * [backup-simplify]: Simplify (- 0) into 0
9.186 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
9.186 * [backup-simplify]: Simplify (* 1 1) into 1
9.187 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.187 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.187 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.187 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
9.188 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
9.189 * [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
9.189 * [taylor]: Taking taylor expansion of 0 in a2
9.189 * [backup-simplify]: Simplify 0 into 0
9.189 * [backup-simplify]: Simplify (+ 0) into 0
9.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
9.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
9.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
9.191 * [backup-simplify]: Simplify (- 0) into 0
9.191 * [backup-simplify]: Simplify (+ 0 0) into 0
9.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.192 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
9.193 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
9.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.194 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
9.196 * [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
9.196 * [taylor]: Taking taylor expansion of 0 in a2
9.196 * [backup-simplify]: Simplify 0 into 0
9.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.198 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.198 * [backup-simplify]: Simplify (- 0) into 0
9.198 * [backup-simplify]: Simplify (+ 0 0) into 0
9.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.200 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
9.201 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.201 * [backup-simplify]: Simplify 0 into 0
9.202 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
9.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.204 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
9.206 * [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
9.206 * [taylor]: Taking taylor expansion of 0 in a2
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.209 * [backup-simplify]: Simplify (- 0) into 0
9.209 * [backup-simplify]: Simplify (+ 0 0) into 0
9.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.211 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.214 * [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
9.214 * [backup-simplify]: Simplify 0 into 0
9.214 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
9.215 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.216 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
9.219 * [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
9.219 * [taylor]: Taking taylor expansion of 0 in a2
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify 0 into 0
9.220 * [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))
9.220 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
9.220 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
9.220 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
9.220 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
9.220 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
9.220 * [taylor]: Taking taylor expansion of -1 in a2
9.220 * [backup-simplify]: Simplify -1 into -1
9.220 * [taylor]: Taking taylor expansion of th in a2
9.220 * [backup-simplify]: Simplify th into th
9.220 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.220 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.220 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
9.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.220 * [taylor]: Taking taylor expansion of 2.0 in a2
9.220 * [backup-simplify]: Simplify 2.0 into 2.0
9.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.221 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.221 * [taylor]: Taking taylor expansion of a2 in a2
9.221 * [backup-simplify]: Simplify 0 into 0
9.221 * [backup-simplify]: Simplify 1 into 1
9.221 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.221 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
9.222 * [backup-simplify]: Simplify (- 0) into 0
9.222 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
9.222 * [backup-simplify]: Simplify (* 1 1) into 1
9.223 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.223 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.223 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
9.223 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.223 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.223 * [taylor]: Taking taylor expansion of -1 in th
9.223 * [backup-simplify]: Simplify -1 into -1
9.223 * [taylor]: Taking taylor expansion of th in th
9.223 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify 1 into 1
9.223 * [backup-simplify]: Simplify (/ -1 1) into -1
9.223 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.223 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
9.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.223 * [taylor]: Taking taylor expansion of 2.0 in th
9.223 * [backup-simplify]: Simplify 2.0 into 2.0
9.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.224 * [taylor]: Taking taylor expansion of (pow a2 2) in th
9.224 * [taylor]: Taking taylor expansion of a2 in th
9.224 * [backup-simplify]: Simplify a2 into a2
9.224 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
9.225 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
9.225 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
9.225 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
9.225 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.225 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.225 * [taylor]: Taking taylor expansion of -1 in th
9.225 * [backup-simplify]: Simplify -1 into -1
9.225 * [taylor]: Taking taylor expansion of th in th
9.225 * [backup-simplify]: Simplify 0 into 0
9.225 * [backup-simplify]: Simplify 1 into 1
9.225 * [backup-simplify]: Simplify (/ -1 1) into -1
9.225 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
9.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.226 * [taylor]: Taking taylor expansion of 2.0 in th
9.226 * [backup-simplify]: Simplify 2.0 into 2.0
9.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.226 * [taylor]: Taking taylor expansion of (pow a2 2) in th
9.226 * [taylor]: Taking taylor expansion of a2 in th
9.226 * [backup-simplify]: Simplify a2 into a2
9.226 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
9.227 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
9.227 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
9.227 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
9.227 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
9.227 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
9.227 * [taylor]: Taking taylor expansion of -1 in a2
9.227 * [backup-simplify]: Simplify -1 into -1
9.227 * [taylor]: Taking taylor expansion of th in a2
9.227 * [backup-simplify]: Simplify th into th
9.227 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.227 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.227 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
9.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
9.227 * [taylor]: Taking taylor expansion of 2.0 in a2
9.227 * [backup-simplify]: Simplify 2.0 into 2.0
9.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.228 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
9.228 * [taylor]: Taking taylor expansion of a2 in a2
9.228 * [backup-simplify]: Simplify 0 into 0
9.228 * [backup-simplify]: Simplify 1 into 1
9.228 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.228 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
9.229 * [backup-simplify]: Simplify (- 0) into 0
9.229 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
9.229 * [backup-simplify]: Simplify (* 1 1) into 1
9.229 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.230 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.230 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.230 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
9.231 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
9.232 * [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
9.232 * [taylor]: Taking taylor expansion of 0 in a2
9.232 * [backup-simplify]: Simplify 0 into 0
9.232 * [backup-simplify]: Simplify (+ 0) into 0
9.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
9.232 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
9.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
9.233 * [backup-simplify]: Simplify (- 0) into 0
9.234 * [backup-simplify]: Simplify (+ 0 0) into 0
9.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
9.235 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.235 * [backup-simplify]: Simplify 0 into 0
9.236 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
9.236 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.237 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
9.238 * [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
9.239 * [taylor]: Taking taylor expansion of 0 in a2
9.239 * [backup-simplify]: Simplify 0 into 0
9.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.240 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.240 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.241 * [backup-simplify]: Simplify (- 0) into 0
9.241 * [backup-simplify]: Simplify (+ 0 0) into 0
9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.242 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.243 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
9.244 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.244 * [backup-simplify]: Simplify 0 into 0
9.245 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
9.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
9.248 * [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
9.248 * [taylor]: Taking taylor expansion of 0 in a2
9.248 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.249 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.255 * [backup-simplify]: Simplify (- 0) into 0
9.255 * [backup-simplify]: Simplify (+ 0 0) into 0
9.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.257 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.259 * [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
9.259 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
9.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.262 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
9.264 * [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
9.264 * [taylor]: Taking taylor expansion of 0 in a2
9.264 * [backup-simplify]: Simplify 0 into 0
9.264 * [backup-simplify]: Simplify 0 into 0
9.264 * [backup-simplify]: Simplify 0 into 0
9.264 * [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))
9.264 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
9.265 * [backup-simplify]: Simplify (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
9.265 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (a1 th) around 0
9.265 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
9.265 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
9.265 * [taylor]: Taking taylor expansion of (pow a1 2) in th
9.265 * [taylor]: Taking taylor expansion of a1 in th
9.265 * [backup-simplify]: Simplify a1 into a1
9.265 * [taylor]: Taking taylor expansion of (cos th) in th
9.265 * [taylor]: Taking taylor expansion of th in th
9.265 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify 1 into 1
9.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.265 * [taylor]: Taking taylor expansion of 2.0 in th
9.265 * [backup-simplify]: Simplify 2.0 into 2.0
9.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.266 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
9.266 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
9.266 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
9.266 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
9.266 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
9.266 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.266 * [taylor]: Taking taylor expansion of a1 in a1
9.266 * [backup-simplify]: Simplify 0 into 0
9.266 * [backup-simplify]: Simplify 1 into 1
9.266 * [taylor]: Taking taylor expansion of (cos th) in a1
9.266 * [taylor]: Taking taylor expansion of th in a1
9.266 * [backup-simplify]: Simplify th into th
9.266 * [backup-simplify]: Simplify (cos th) into (cos th)
9.266 * [backup-simplify]: Simplify (sin th) into (sin th)
9.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
9.266 * [taylor]: Taking taylor expansion of 2.0 in a1
9.266 * [backup-simplify]: Simplify 2.0 into 2.0
9.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.267 * [backup-simplify]: Simplify (* 1 1) into 1
9.267 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
9.267 * [backup-simplify]: Simplify (* (sin th) 0) into 0
9.268 * [backup-simplify]: Simplify (- 0) into 0
9.268 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
9.268 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
9.268 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
9.268 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
9.268 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
9.268 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.268 * [taylor]: Taking taylor expansion of a1 in a1
9.268 * [backup-simplify]: Simplify 0 into 0
9.268 * [backup-simplify]: Simplify 1 into 1
9.268 * [taylor]: Taking taylor expansion of (cos th) in a1
9.268 * [taylor]: Taking taylor expansion of th in a1
9.268 * [backup-simplify]: Simplify th into th
9.268 * [backup-simplify]: Simplify (cos th) into (cos th)
9.269 * [backup-simplify]: Simplify (sin th) into (sin th)
9.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
9.269 * [taylor]: Taking taylor expansion of 2.0 in a1
9.269 * [backup-simplify]: Simplify 2.0 into 2.0
9.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.270 * [backup-simplify]: Simplify (* 1 1) into 1
9.270 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
9.270 * [backup-simplify]: Simplify (* (sin th) 0) into 0
9.271 * [backup-simplify]: Simplify (- 0) into 0
9.271 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
9.271 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
9.271 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
9.271 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
9.271 * [taylor]: Taking taylor expansion of (cos th) in th
9.271 * [taylor]: Taking taylor expansion of th in th
9.271 * [backup-simplify]: Simplify 0 into 0
9.271 * [backup-simplify]: Simplify 1 into 1
9.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.272 * [taylor]: Taking taylor expansion of 2.0 in th
9.272 * [backup-simplify]: Simplify 2.0 into 2.0
9.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.274 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
9.274 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
9.275 * [backup-simplify]: Simplify (+ 0) into 0
9.275 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
9.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.277 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
9.277 * [backup-simplify]: Simplify (- 0) into 0
9.277 * [backup-simplify]: Simplify (+ 0 0) into 0
9.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos th))) into 0
9.280 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.280 * [taylor]: Taking taylor expansion of 0 in th
9.280 * [backup-simplify]: Simplify 0 into 0
9.280 * [backup-simplify]: Simplify 0 into 0
9.280 * [backup-simplify]: Simplify (+ 0) into 0
9.281 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.281 * [backup-simplify]: Simplify 0 into 0
9.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.283 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
9.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.284 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
9.285 * [backup-simplify]: Simplify (- 0) into 0
9.285 * [backup-simplify]: Simplify (+ 0 0) into 0
9.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos th)))) into 0
9.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.290 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.290 * [taylor]: Taking taylor expansion of 0 in th
9.290 * [backup-simplify]: Simplify 0 into 0
9.290 * [backup-simplify]: Simplify 0 into 0
9.290 * [backup-simplify]: Simplify 0 into 0
9.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
9.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.296 * [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))))
9.298 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
9.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.300 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.302 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.302 * [backup-simplify]: Simplify (- 0) into 0
9.303 * [backup-simplify]: Simplify (+ 0 0) into 0
9.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos th))))) into 0
9.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.309 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.309 * [taylor]: Taking taylor expansion of 0 in th
9.309 * [backup-simplify]: Simplify 0 into 0
9.309 * [backup-simplify]: Simplify 0 into 0
9.309 * [backup-simplify]: Simplify 0 into 0
9.309 * [backup-simplify]: Simplify 0 into 0
9.310 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.313 * [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
9.313 * [backup-simplify]: Simplify 0 into 0
9.316 * [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
9.317 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.319 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
9.320 * [backup-simplify]: Simplify (- 0) into 0
9.320 * [backup-simplify]: Simplify (+ 0 0) into 0
9.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos th)))))) into 0
9.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.328 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos 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
9.328 * [taylor]: Taking taylor expansion of 0 in th
9.328 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify 0 into 0
9.332 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* th a1) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 a1) 2))) into (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2.0))))
9.332 * [backup-simplify]: Simplify (/ (* (* (/ 1 a1) (/ 1 a1)) (cos (/ 1 th))) (sqrt 2.0)) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
9.332 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in (a1 th) around 0
9.332 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
9.332 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.332 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.333 * [taylor]: Taking taylor expansion of th in th
9.333 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify 1 into 1
9.333 * [backup-simplify]: Simplify (/ 1 1) into 1
9.333 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.333 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
9.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.333 * [taylor]: Taking taylor expansion of 2.0 in th
9.333 * [backup-simplify]: Simplify 2.0 into 2.0
9.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.334 * [taylor]: Taking taylor expansion of (pow a1 2) in th
9.334 * [taylor]: Taking taylor expansion of a1 in th
9.334 * [backup-simplify]: Simplify a1 into a1
9.334 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
9.334 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
9.334 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
9.335 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
9.335 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
9.335 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
9.335 * [taylor]: Taking taylor expansion of th in a1
9.335 * [backup-simplify]: Simplify th into th
9.335 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.335 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.335 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.335 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
9.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
9.335 * [taylor]: Taking taylor expansion of 2.0 in a1
9.335 * [backup-simplify]: Simplify 2.0 into 2.0
9.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.335 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.336 * [taylor]: Taking taylor expansion of a1 in a1
9.336 * [backup-simplify]: Simplify 0 into 0
9.336 * [backup-simplify]: Simplify 1 into 1
9.336 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.336 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
9.336 * [backup-simplify]: Simplify (- 0) into 0
9.336 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
9.336 * [backup-simplify]: Simplify (* 1 1) into 1
9.337 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.337 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.337 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
9.337 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
9.337 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
9.337 * [taylor]: Taking taylor expansion of th in a1
9.337 * [backup-simplify]: Simplify th into th
9.337 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
9.337 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.337 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
9.337 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
9.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
9.337 * [taylor]: Taking taylor expansion of 2.0 in a1
9.337 * [backup-simplify]: Simplify 2.0 into 2.0
9.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.338 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.338 * [taylor]: Taking taylor expansion of a1 in a1
9.338 * [backup-simplify]: Simplify 0 into 0
9.338 * [backup-simplify]: Simplify 1 into 1
9.338 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
9.338 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
9.339 * [backup-simplify]: Simplify (- 0) into 0
9.339 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
9.339 * [backup-simplify]: Simplify (* 1 1) into 1
9.339 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.340 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.340 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
9.340 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
9.340 * [taylor]: Taking taylor expansion of (/ 1 th) in th
9.340 * [taylor]: Taking taylor expansion of th in th
9.340 * [backup-simplify]: Simplify 0 into 0
9.340 * [backup-simplify]: Simplify 1 into 1
9.340 * [backup-simplify]: Simplify (/ 1 1) into 1
9.340 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
9.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.340 * [taylor]: Taking taylor expansion of 2.0 in th
9.340 * [backup-simplify]: Simplify 2.0 into 2.0
9.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.341 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.341 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
9.342 * [backup-simplify]: Simplify (+ 0) into 0
9.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
9.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
9.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
9.343 * [backup-simplify]: Simplify (- 0) into 0
9.343 * [backup-simplify]: Simplify (+ 0 0) into 0
9.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
9.345 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.345 * [taylor]: Taking taylor expansion of 0 in th
9.345 * [backup-simplify]: Simplify 0 into 0
9.345 * [backup-simplify]: Simplify 0 into 0
9.346 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.346 * [backup-simplify]: Simplify 0 into 0
9.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.348 * [backup-simplify]: Simplify (- 0) into 0
9.349 * [backup-simplify]: Simplify (+ 0 0) into 0
9.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
9.352 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.352 * [taylor]: Taking taylor expansion of 0 in th
9.352 * [backup-simplify]: Simplify 0 into 0
9.352 * [backup-simplify]: Simplify 0 into 0
9.352 * [backup-simplify]: Simplify 0 into 0
9.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.354 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.354 * [backup-simplify]: Simplify 0 into 0
9.355 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.358 * [backup-simplify]: Simplify (- 0) into 0
9.358 * [backup-simplify]: Simplify (+ 0 0) into 0
9.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.362 * [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
9.362 * [taylor]: Taking taylor expansion of 0 in th
9.362 * [backup-simplify]: Simplify 0 into 0
9.362 * [backup-simplify]: Simplify 0 into 0
9.362 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (/ 1 (/ 1 a1))) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
9.363 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- a1)) (/ 1 (- a1))) (cos (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
9.363 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (a1 th) around 0
9.363 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
9.363 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.363 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.363 * [taylor]: Taking taylor expansion of -1 in th
9.363 * [backup-simplify]: Simplify -1 into -1
9.363 * [taylor]: Taking taylor expansion of th in th
9.363 * [backup-simplify]: Simplify 0 into 0
9.363 * [backup-simplify]: Simplify 1 into 1
9.363 * [backup-simplify]: Simplify (/ -1 1) into -1
9.363 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.363 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
9.363 * [taylor]: Taking taylor expansion of (pow a1 2) in th
9.363 * [taylor]: Taking taylor expansion of a1 in th
9.363 * [backup-simplify]: Simplify a1 into a1
9.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.363 * [taylor]: Taking taylor expansion of 2.0 in th
9.363 * [backup-simplify]: Simplify 2.0 into 2.0
9.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.364 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
9.364 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
9.365 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
9.365 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
9.365 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
9.365 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
9.365 * [taylor]: Taking taylor expansion of -1 in a1
9.365 * [backup-simplify]: Simplify -1 into -1
9.365 * [taylor]: Taking taylor expansion of th in a1
9.365 * [backup-simplify]: Simplify th into th
9.365 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.365 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.365 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.365 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
9.365 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.365 * [taylor]: Taking taylor expansion of a1 in a1
9.365 * [backup-simplify]: Simplify 0 into 0
9.365 * [backup-simplify]: Simplify 1 into 1
9.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
9.365 * [taylor]: Taking taylor expansion of 2.0 in a1
9.365 * [backup-simplify]: Simplify 2.0 into 2.0
9.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.366 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.366 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
9.366 * [backup-simplify]: Simplify (- 0) into 0
9.366 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
9.367 * [backup-simplify]: Simplify (* 1 1) into 1
9.367 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
9.367 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.368 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
9.368 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
9.368 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
9.368 * [taylor]: Taking taylor expansion of -1 in a1
9.368 * [backup-simplify]: Simplify -1 into -1
9.368 * [taylor]: Taking taylor expansion of th in a1
9.368 * [backup-simplify]: Simplify th into th
9.368 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
9.368 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.368 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
9.368 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
9.368 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
9.368 * [taylor]: Taking taylor expansion of a1 in a1
9.368 * [backup-simplify]: Simplify 0 into 0
9.368 * [backup-simplify]: Simplify 1 into 1
9.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
9.368 * [taylor]: Taking taylor expansion of 2.0 in a1
9.368 * [backup-simplify]: Simplify 2.0 into 2.0
9.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.374 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
9.374 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
9.374 * [backup-simplify]: Simplify (- 0) into 0
9.374 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
9.375 * [backup-simplify]: Simplify (* 1 1) into 1
9.375 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
9.376 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.376 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
9.376 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
9.376 * [taylor]: Taking taylor expansion of (/ -1 th) in th
9.376 * [taylor]: Taking taylor expansion of -1 in th
9.376 * [backup-simplify]: Simplify -1 into -1
9.376 * [taylor]: Taking taylor expansion of th in th
9.376 * [backup-simplify]: Simplify 0 into 0
9.376 * [backup-simplify]: Simplify 1 into 1
9.376 * [backup-simplify]: Simplify (/ -1 1) into -1
9.376 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
9.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
9.376 * [taylor]: Taking taylor expansion of 2.0 in th
9.376 * [backup-simplify]: Simplify 2.0 into 2.0
9.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.377 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.378 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
9.378 * [backup-simplify]: Simplify (+ 0) into 0
9.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
9.379 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
9.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.379 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
9.380 * [backup-simplify]: Simplify (- 0) into 0
9.380 * [backup-simplify]: Simplify (+ 0 0) into 0
9.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
9.382 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.382 * [taylor]: Taking taylor expansion of 0 in th
9.382 * [backup-simplify]: Simplify 0 into 0
9.382 * [backup-simplify]: Simplify 0 into 0
9.384 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
9.384 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
9.386 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
9.387 * [backup-simplify]: Simplify (- 0) into 0
9.388 * [backup-simplify]: Simplify (+ 0 0) into 0
9.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
9.393 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.393 * [taylor]: Taking taylor expansion of 0 in th
9.393 * [backup-simplify]: Simplify 0 into 0
9.393 * [backup-simplify]: Simplify 0 into 0
9.393 * [backup-simplify]: Simplify 0 into 0
9.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.396 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
9.396 * [backup-simplify]: Simplify 0 into 0
9.397 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.398 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
9.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.401 * [backup-simplify]: Simplify (- 0) into 0
9.402 * [backup-simplify]: Simplify (+ 0 0) into 0
9.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
9.409 * [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
9.409 * [taylor]: Taking taylor expansion of 0 in th
9.409 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
9.410 * * * [progress]: simplifying candidates
9.413 * [simplify]: Simplifying:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (- (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))
  (expm1 (* (* a1 a1) (cos th)))
  (log1p (* (* a1 a1) (cos th)))
  (* (* a1 a1) (cos th))
  (* (* a1 a1) (cos th))
  (+ (+ (log a1) (log a1)) (log (cos th)))
  (+ (log (* a1 a1)) (log (cos th)))
  (log (* (* a1 a1) (cos th)))
  (exp (* (* a1 a1) (cos th)))
  (* (* (* (* a1 a1) a1) (* (* a1 a1) a1)) (* (* (cos th) (cos th)) (cos th)))
  (* (* (* (* a1 a1) (* a1 a1)) (* a1 a1)) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (* (* a1 a1) (cos th))) (cbrt (* (* a1 a1) (cos th))))
  (cbrt (* (* a1 a1) (cos th)))
  (* (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th))) (* (* a1 a1) (cos th)))
  (sqrt (* (* a1 a1) (cos th)))
  (sqrt (* (* a1 a1) (cos th)))
  (* a1 (sqrt (cos th)))
  (* a1 (sqrt (cos th)))
  (* (* a1 a1) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (* a1 a1) (sqrt (cos th)))
  (* (* a1 a1) 1)
  (* a1 (cos th))
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (/ (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))
  (expm1 (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (log1p (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2.0)))
  (- (+ (log (* a1 a1)) (log (cos th))) (log (sqrt 2.0)))
  (- (log (* (* a1 a1) (cos th))) (log (sqrt 2.0)))
  (log (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (exp (/ (* (* a1 a1) (cos th)) (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) (cos th)) (cos th))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (/ (* (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th))) (* (* a1 a1) (cos th))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0))) (cbrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (* 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)))
  (sqrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (* a1 a1) (cos th)) (sqrt 2.0)))
  (- (* (* a1 a1) (cos th)))
  (- (sqrt 2.0))
  (/ (* a1 a1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (* a1 a1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (* a1 a1) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (* a1 a1) (sqrt 1))
  (/ (cos th) (sqrt 2.0))
  (/ (* a1 a1) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (* a1 a1) 1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (* (* a1 a1) (cos th)))
  (/ (* (* a1 a1) (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (* a1 a1) (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (* a1 a1) (cos th)) (sqrt 1))
  (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2.0)))
  (/ (* (* a1 a1) (cos th)) 1)
  (/ (sqrt 2.0) (cos th))
  (- (+ (/ 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 a1 2) (* 1/2 (* (pow a1 2) (pow th 2))))
  (* (pow a1 2) (cos th))
  (* (pow a1 2) (cos th))
  (- (/ (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))
9.417 * * [simplify]: iteration 0: 200 enodes
9.494 * * [simplify]: iteration 1: 563 enodes
9.774 * * [simplify]: iteration 2: 2005 enodes
10.692 * * [simplify]: iteration complete: 5003 enodes
10.692 * * [simplify]: Extracting #0: cost 104 inf + 0
10.694 * * [simplify]: Extracting #1: cost 890 inf + 1
10.700 * * [simplify]: Extracting #2: cost 1471 inf + 8727
10.727 * * [simplify]: Extracting #3: cost 800 inf + 163906
10.796 * * [simplify]: Extracting #4: cost 42 inf + 333695
10.859 * * [simplify]: Extracting #5: cost 0 inf + 342558
10.951 * * [simplify]: Extracting #6: cost 0 inf + 342518
11.063 * [simplify]: Simplified to:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (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 (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (expm1 (* (cos th) (* a1 a1)))
  (log1p (* (cos th) (* a1 a1)))
  (* (cos th) (* a1 a1))
  (* (cos th) (* a1 a1))
  (log (* (cos th) (* a1 a1)))
  (log (* (cos th) (* a1 a1)))
  (log (* (cos th) (* a1 a1)))
  (exp (* (cos th) (* a1 a1)))
  (* (* (cos th) (* a1 a1)) (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))))
  (* (* (cos th) (* a1 a1)) (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))))
  (* (cbrt (* (cos th) (* a1 a1))) (cbrt (* (cos th) (* a1 a1))))
  (cbrt (* (cos th) (* a1 a1)))
  (* (* (cos th) (* a1 a1)) (* (* (cos th) (* a1 a1)) (* (cos th) (* a1 a1))))
  (sqrt (* (cos th) (* a1 a1)))
  (sqrt (* (cos th) (* a1 a1)))
  (* a1 (sqrt (cos th)))
  (* a1 (sqrt (cos th)))
  (* (* (cbrt (cos th)) a1) (* (cbrt (cos th)) a1))
  (* (* a1 a1) (sqrt (cos th)))
  (* a1 a1)
  (* a1 (cos th))
  (expm1 (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (log1p (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (log (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (log (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (log (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (log (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (log (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (exp (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (* (* (* (* (/ (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)))
  (* (* (/ (* (* (cos th) a2) a2) (sqrt 2.0)) (/ (* (* (cos th) a2) a2) (sqrt 2.0))) (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (* (* (/ (* (* (cos th) a2) a2) (sqrt 2.0)) (/ (* (* (cos th) a2) a2) (sqrt 2.0))) (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (* (cbrt (/ (* (* (cos th) a2) a2) (sqrt 2.0))) (cbrt (/ (* (* (cos th) a2) a2) (sqrt 2.0))))
  (cbrt (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (* (* (/ (* (* (cos th) a2) a2) (sqrt 2.0)) (/ (* (* (cos th) a2) a2) (sqrt 2.0))) (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (sqrt (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (sqrt (/ (* (* (cos th) a2) a2) (sqrt 2.0)))
  (* (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 a2) (cbrt (/ (cos th) (sqrt 2.0))))
  (* (* (sqrt (/ (cos th) (sqrt 2.0))) a2) a2)
  (* (* a2 (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))) a2)
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt (cbrt 2.0)))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (* a2 a2)))
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt 2.0))
  (/ (cbrt (cos th)) (/ (sqrt (sqrt 2.0)) (* a2 a2)))
  (/ (* (cbrt (cos th)) (* a2 a2)) (sqrt 2.0))
  (* (* a2 a2) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))))
  (* a2 (/ (* (sqrt (cos th)) a2) (sqrt (cbrt 2.0))))
  (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2.0)) a2)) a2)
  (* a2 (/ (* (sqrt (cos th)) a2) (sqrt 2.0)))
  (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2.0)) a2)) a2)
  (* a2 (/ (* (sqrt (cos th)) a2) (sqrt 2.0)))
  (/ (* (* (cos th) a2) a2) (cbrt (sqrt 2.0)))
  (/ (* (* (cos th) a2) a2) (sqrt (cbrt 2.0)))
  (/ (* (* (cos th) a2) a2) (sqrt (sqrt 2.0)))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (/ (* (* (cos th) a2) a2) (sqrt (sqrt 2.0)))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (* a2 (/ a2 (sqrt 2.0)))
  (* (* (cos th) a2) a2)
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))
  (log1p (* (/ (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)))
  (* (* (/ (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))))
  (* (* (/ (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)))
  (* (- (* a1 a1)) (cos th))
  (- (sqrt 2.0))
  (* (/ a1 (cbrt (sqrt 2.0))) (/ a1 (cbrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (* a1 a1) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (* (/ a1 (sqrt (sqrt 2.0))) a1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (* a1 a1)
  (/ (cos th) (sqrt 2.0))
  (* (/ a1 (sqrt (sqrt 2.0))) a1)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (* a1 a1)
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (/ (sqrt 2.0) (* a1 a1)) (cos th))
  (* (* (/ a1 (cbrt (sqrt 2.0))) (/ a1 (cbrt (sqrt 2.0)))) (cos th))
  (/ (* (cos th) (* a1 a1)) (fabs (cbrt 2.0)))
  (/ (* a1 a1) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (* a1 a1))
  (/ (* a1 a1) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (cos th) (* a1 a1))
  (/ (sqrt 2.0) (cos th))
  (fma (/ (* th th) (sqrt 2.0)) -1/2 (fma 1/24 (/ (* (* th th) (* th th)) (sqrt 2.0)) (/ 1 (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (fma -1/2 (* (* a1 th) (* a1 th)) (* a1 a1))
  (* (cos th) (* a1 a1))
  (* (cos th) (* a1 a1))
  (fma -1/2 (* (* a2 (/ a2 (sqrt 2.0))) (* th th)) (* a2 (/ a2 (sqrt 2.0))))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (/ (* (* (cos th) a2) a2) (sqrt 2.0))
  (- (/ (* a1 a1) (sqrt 2.0)) (* (* 1/2 (/ (* a1 a1) (sqrt 2.0))) (* th th)))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
  (* (/ (cos th) (sqrt 2.0)) (* a1 a1))
11.077 * * * [progress]: adding candidates to table
11.955 * * [progress]: iteration 4 / 4
11.955 * * * [progress]: picking best candidate
11.991 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))>
11.991 * * * [progress]: localizing error
12.020 * * * [progress]: generating rewritten candidates
12.020 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
12.028 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
12.073 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
12.092 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2)
12.109 * * * [progress]: generating series expansions
12.109 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
12.110 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
12.110 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0
12.110 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
12.110 * [taylor]: Taking taylor expansion of (cos th) in th
12.110 * [taylor]: Taking taylor expansion of th in th
12.110 * [backup-simplify]: Simplify 0 into 0
12.110 * [backup-simplify]: Simplify 1 into 1
12.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.110 * [taylor]: Taking taylor expansion of 2.0 in th
12.110 * [backup-simplify]: Simplify 2.0 into 2.0
12.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.112 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.112 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
12.112 * [taylor]: Taking taylor expansion of (cos th) in th
12.112 * [taylor]: Taking taylor expansion of th in th
12.112 * [backup-simplify]: Simplify 0 into 0
12.112 * [backup-simplify]: Simplify 1 into 1
12.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.112 * [taylor]: Taking taylor expansion of 2.0 in th
12.112 * [backup-simplify]: Simplify 2.0 into 2.0
12.113 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.115 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.116 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.116 * [backup-simplify]: Simplify (+ 0) into 0
12.117 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.117 * [backup-simplify]: Simplify 0 into 0
12.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
12.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.123 * [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))))
12.125 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
12.127 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.130 * [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
12.130 * [backup-simplify]: Simplify 0 into 0
12.133 * [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
12.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.139 * [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)))
12.141 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2.0))) into (/ 1/24 (sqrt 2.0))
12.146 * [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))))
12.146 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.146 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0
12.146 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.146 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.147 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.147 * [taylor]: Taking taylor expansion of th in th
12.147 * [backup-simplify]: Simplify 0 into 0
12.147 * [backup-simplify]: Simplify 1 into 1
12.147 * [backup-simplify]: Simplify (/ 1 1) into 1
12.147 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.147 * [taylor]: Taking taylor expansion of 2.0 in th
12.147 * [backup-simplify]: Simplify 2.0 into 2.0
12.148 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.149 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.149 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.149 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.149 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.149 * [taylor]: Taking taylor expansion of th in th
12.149 * [backup-simplify]: Simplify 0 into 0
12.149 * [backup-simplify]: Simplify 1 into 1
12.149 * [backup-simplify]: Simplify (/ 1 1) into 1
12.149 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.149 * [taylor]: Taking taylor expansion of 2.0 in th
12.150 * [backup-simplify]: Simplify 2.0 into 2.0
12.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.156 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.157 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.159 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.162 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.162 * [backup-simplify]: Simplify 0 into 0
12.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.166 * [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
12.166 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.171 * [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
12.171 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.176 * [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
12.176 * [backup-simplify]: Simplify 0 into 0
12.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.182 * [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
12.183 * [backup-simplify]: Simplify 0 into 0
12.183 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
12.184 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.184 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0
12.184 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.184 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.184 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.184 * [taylor]: Taking taylor expansion of -1 in th
12.184 * [backup-simplify]: Simplify -1 into -1
12.184 * [taylor]: Taking taylor expansion of th in th
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 1 into 1
12.184 * [backup-simplify]: Simplify (/ -1 1) into -1
12.184 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.184 * [taylor]: Taking taylor expansion of 2.0 in th
12.184 * [backup-simplify]: Simplify 2.0 into 2.0
12.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.186 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.186 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.186 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.186 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.186 * [taylor]: Taking taylor expansion of -1 in th
12.186 * [backup-simplify]: Simplify -1 into -1
12.186 * [taylor]: Taking taylor expansion of th in th
12.186 * [backup-simplify]: Simplify 0 into 0
12.186 * [backup-simplify]: Simplify 1 into 1
12.187 * [backup-simplify]: Simplify (/ -1 1) into -1
12.187 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.187 * [taylor]: Taking taylor expansion of 2.0 in th
12.187 * [backup-simplify]: Simplify 2.0 into 2.0
12.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.188 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.189 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.191 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.191 * [backup-simplify]: Simplify 0 into 0
12.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.194 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.194 * [backup-simplify]: Simplify 0 into 0
12.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.198 * [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
12.198 * [backup-simplify]: Simplify 0 into 0
12.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.202 * [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
12.202 * [backup-simplify]: Simplify 0 into 0
12.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.208 * [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
12.208 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.212 * [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
12.212 * [backup-simplify]: Simplify 0 into 0
12.212 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
12.212 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
12.213 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
12.213 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0
12.213 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
12.213 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
12.213 * [taylor]: Taking taylor expansion of (cos th) in a2
12.213 * [taylor]: Taking taylor expansion of th in a2
12.213 * [backup-simplify]: Simplify th into th
12.213 * [backup-simplify]: Simplify (cos th) into (cos th)
12.213 * [backup-simplify]: Simplify (sin th) into (sin th)
12.213 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.213 * [taylor]: Taking taylor expansion of a2 in a2
12.213 * [backup-simplify]: Simplify 0 into 0
12.213 * [backup-simplify]: Simplify 1 into 1
12.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.213 * [taylor]: Taking taylor expansion of 2.0 in a2
12.213 * [backup-simplify]: Simplify 2.0 into 2.0
12.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.214 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.214 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.214 * [backup-simplify]: Simplify (- 0) into 0
12.214 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.214 * [backup-simplify]: Simplify (* 1 1) into 1
12.214 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.215 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
12.215 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
12.215 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
12.215 * [taylor]: Taking taylor expansion of (cos th) in th
12.215 * [taylor]: Taking taylor expansion of th in th
12.215 * [backup-simplify]: Simplify 0 into 0
12.215 * [backup-simplify]: Simplify 1 into 1
12.215 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.215 * [taylor]: Taking taylor expansion of a2 in th
12.215 * [backup-simplify]: Simplify a2 into a2
12.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.215 * [taylor]: Taking taylor expansion of 2.0 in th
12.215 * [backup-simplify]: Simplify 2.0 into 2.0
12.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.216 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.216 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
12.216 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
12.216 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th
12.216 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th
12.216 * [taylor]: Taking taylor expansion of (cos th) in th
12.216 * [taylor]: Taking taylor expansion of th in th
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [backup-simplify]: Simplify 1 into 1
12.216 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.216 * [taylor]: Taking taylor expansion of a2 in th
12.216 * [backup-simplify]: Simplify a2 into a2
12.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.216 * [taylor]: Taking taylor expansion of 2.0 in th
12.216 * [backup-simplify]: Simplify 2.0 into 2.0
12.216 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.217 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.217 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2)
12.218 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
12.218 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
12.218 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.218 * [taylor]: Taking taylor expansion of a2 in a2
12.218 * [backup-simplify]: Simplify 0 into 0
12.218 * [backup-simplify]: Simplify 1 into 1
12.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.218 * [taylor]: Taking taylor expansion of 2.0 in a2
12.218 * [backup-simplify]: Simplify 2.0 into 2.0
12.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.219 * [backup-simplify]: Simplify (* 1 1) into 1
12.219 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.220 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.220 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.220 * [backup-simplify]: Simplify (+ 0) into 0
12.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0
12.221 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.221 * [taylor]: Taking taylor expansion of 0 in a2
12.221 * [backup-simplify]: Simplify 0 into 0
12.221 * [backup-simplify]: Simplify 0 into 0
12.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.222 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.223 * [backup-simplify]: Simplify 0 into 0
12.223 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
12.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2)))
12.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.226 * [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))))
12.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2
12.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2
12.226 * [taylor]: Taking taylor expansion of 1/2 in a2
12.226 * [backup-simplify]: Simplify 1/2 into 1/2
12.226 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2
12.226 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.226 * [taylor]: Taking taylor expansion of a2 in a2
12.226 * [backup-simplify]: Simplify 0 into 0
12.226 * [backup-simplify]: Simplify 1 into 1
12.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.226 * [taylor]: Taking taylor expansion of 2.0 in a2
12.226 * [backup-simplify]: Simplify 2.0 into 2.0
12.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.227 * [backup-simplify]: Simplify (* 1 1) into 1
12.228 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.229 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2.0))) into (/ 1/2 (sqrt 2.0))
12.230 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2.0))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
12.231 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
12.231 * [backup-simplify]: Simplify 0 into 0
12.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.233 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.233 * [backup-simplify]: Simplify 0 into 0
12.233 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
12.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0
12.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.238 * [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
12.238 * [taylor]: Taking taylor expansion of 0 in a2
12.238 * [backup-simplify]: Simplify 0 into 0
12.238 * [backup-simplify]: Simplify 0 into 0
12.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.239 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
12.240 * [backup-simplify]: Simplify (- 0) into 0
12.240 * [backup-simplify]: Simplify 0 into 0
12.240 * [backup-simplify]: Simplify 0 into 0
12.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.242 * [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
12.243 * [backup-simplify]: Simplify 0 into 0
12.246 * [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))))
12.247 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2.0)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
12.247 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
12.247 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.247 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.247 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.247 * [taylor]: Taking taylor expansion of th in a2
12.247 * [backup-simplify]: Simplify th into th
12.247 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.247 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.247 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.247 * [taylor]: Taking taylor expansion of 2.0 in a2
12.247 * [backup-simplify]: Simplify 2.0 into 2.0
12.248 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.248 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.248 * [taylor]: Taking taylor expansion of a2 in a2
12.248 * [backup-simplify]: Simplify 0 into 0
12.248 * [backup-simplify]: Simplify 1 into 1
12.249 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.249 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.249 * [backup-simplify]: Simplify (- 0) into 0
12.249 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.249 * [backup-simplify]: Simplify (* 1 1) into 1
12.251 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.251 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.251 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
12.251 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.251 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.251 * [taylor]: Taking taylor expansion of th in th
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [backup-simplify]: Simplify 1 into 1
12.252 * [backup-simplify]: Simplify (/ 1 1) into 1
12.252 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
12.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.252 * [taylor]: Taking taylor expansion of 2.0 in th
12.252 * [backup-simplify]: Simplify 2.0 into 2.0
12.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.253 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.253 * [taylor]: Taking taylor expansion of a2 in th
12.253 * [backup-simplify]: Simplify a2 into a2
12.253 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.254 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
12.254 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
12.254 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th
12.255 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.255 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.255 * [taylor]: Taking taylor expansion of th in th
12.255 * [backup-simplify]: Simplify 0 into 0
12.255 * [backup-simplify]: Simplify 1 into 1
12.255 * [backup-simplify]: Simplify (/ 1 1) into 1
12.255 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
12.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.255 * [taylor]: Taking taylor expansion of 2.0 in th
12.255 * [backup-simplify]: Simplify 2.0 into 2.0
12.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.256 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.256 * [taylor]: Taking taylor expansion of a2 in th
12.257 * [backup-simplify]: Simplify a2 into a2
12.257 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.257 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
12.258 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
12.258 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.258 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.258 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.258 * [taylor]: Taking taylor expansion of th in a2
12.258 * [backup-simplify]: Simplify th into th
12.258 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.258 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.258 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.258 * [taylor]: Taking taylor expansion of 2.0 in a2
12.258 * [backup-simplify]: Simplify 2.0 into 2.0
12.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.259 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.259 * [taylor]: Taking taylor expansion of a2 in a2
12.259 * [backup-simplify]: Simplify 0 into 0
12.259 * [backup-simplify]: Simplify 1 into 1
12.260 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.260 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.260 * [backup-simplify]: Simplify (- 0) into 0
12.260 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.261 * [backup-simplify]: Simplify (* 1 1) into 1
12.261 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.262 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.262 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.262 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.263 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
12.265 * [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
12.265 * [taylor]: Taking taylor expansion of 0 in a2
12.265 * [backup-simplify]: Simplify 0 into 0
12.265 * [backup-simplify]: Simplify (+ 0) into 0
12.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.267 * [backup-simplify]: Simplify (- 0) into 0
12.268 * [backup-simplify]: Simplify (+ 0 0) into 0
12.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.270 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.271 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.271 * [backup-simplify]: Simplify 0 into 0
12.272 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
12.276 * [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
12.276 * [taylor]: Taking taylor expansion of 0 in a2
12.276 * [backup-simplify]: Simplify 0 into 0
12.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.283 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.285 * [backup-simplify]: Simplify (- 0) into 0
12.286 * [backup-simplify]: Simplify (+ 0 0) into 0
12.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.289 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.291 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.291 * [backup-simplify]: Simplify 0 into 0
12.292 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
12.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.295 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
12.297 * [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
12.298 * [taylor]: Taking taylor expansion of 0 in a2
12.298 * [backup-simplify]: Simplify 0 into 0
12.298 * [backup-simplify]: Simplify 0 into 0
12.299 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.302 * [backup-simplify]: Simplify (- 0) into 0
12.303 * [backup-simplify]: Simplify (+ 0 0) into 0
12.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.309 * [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
12.309 * [backup-simplify]: Simplify 0 into 0
12.310 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
12.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
12.316 * [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
12.316 * [taylor]: Taking taylor expansion of 0 in a2
12.316 * [backup-simplify]: Simplify 0 into 0
12.316 * [backup-simplify]: Simplify 0 into 0
12.316 * [backup-simplify]: Simplify 0 into 0
12.317 * [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))
12.318 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2.0)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
12.318 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0
12.318 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.318 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.318 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.318 * [taylor]: Taking taylor expansion of -1 in a2
12.318 * [backup-simplify]: Simplify -1 into -1
12.318 * [taylor]: Taking taylor expansion of th in a2
12.318 * [backup-simplify]: Simplify th into th
12.318 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.318 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.319 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.319 * [taylor]: Taking taylor expansion of 2.0 in a2
12.319 * [backup-simplify]: Simplify 2.0 into 2.0
12.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.320 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.320 * [taylor]: Taking taylor expansion of a2 in a2
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [backup-simplify]: Simplify 1 into 1
12.320 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.320 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.321 * [backup-simplify]: Simplify (- 0) into 0
12.321 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.321 * [backup-simplify]: Simplify (* 1 1) into 1
12.322 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.323 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.323 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
12.323 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.323 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.323 * [taylor]: Taking taylor expansion of -1 in th
12.323 * [backup-simplify]: Simplify -1 into -1
12.323 * [taylor]: Taking taylor expansion of th in th
12.323 * [backup-simplify]: Simplify 0 into 0
12.323 * [backup-simplify]: Simplify 1 into 1
12.324 * [backup-simplify]: Simplify (/ -1 1) into -1
12.324 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
12.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.324 * [taylor]: Taking taylor expansion of 2.0 in th
12.324 * [backup-simplify]: Simplify 2.0 into 2.0
12.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.325 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.325 * [taylor]: Taking taylor expansion of a2 in th
12.325 * [backup-simplify]: Simplify a2 into a2
12.325 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.326 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
12.326 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
12.326 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th
12.326 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.326 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.327 * [taylor]: Taking taylor expansion of -1 in th
12.327 * [backup-simplify]: Simplify -1 into -1
12.327 * [taylor]: Taking taylor expansion of th in th
12.327 * [backup-simplify]: Simplify 0 into 0
12.327 * [backup-simplify]: Simplify 1 into 1
12.327 * [backup-simplify]: Simplify (/ -1 1) into -1
12.327 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.327 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th
12.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.327 * [taylor]: Taking taylor expansion of 2.0 in th
12.327 * [backup-simplify]: Simplify 2.0 into 2.0
12.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.328 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.328 * [taylor]: Taking taylor expansion of a2 in th
12.328 * [backup-simplify]: Simplify a2 into a2
12.329 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.329 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a2 2)) into (* (sqrt 2.0) (pow a2 2))
12.329 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
12.329 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.329 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.329 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.329 * [taylor]: Taking taylor expansion of -1 in a2
12.329 * [backup-simplify]: Simplify -1 into -1
12.329 * [taylor]: Taking taylor expansion of th in a2
12.329 * [backup-simplify]: Simplify th into th
12.330 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.330 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.330 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.330 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.330 * [taylor]: Taking taylor expansion of 2.0 in a2
12.330 * [backup-simplify]: Simplify 2.0 into 2.0
12.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.331 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.331 * [taylor]: Taking taylor expansion of a2 in a2
12.331 * [backup-simplify]: Simplify 0 into 0
12.331 * [backup-simplify]: Simplify 1 into 1
12.331 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.331 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.331 * [backup-simplify]: Simplify (- 0) into 0
12.331 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.331 * [backup-simplify]: Simplify (* 1 1) into 1
12.332 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.332 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.332 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.333 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.333 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow a2 2))) into 0
12.334 * [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
12.334 * [taylor]: Taking taylor expansion of 0 in a2
12.334 * [backup-simplify]: Simplify 0 into 0
12.334 * [backup-simplify]: Simplify (+ 0) into 0
12.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.335 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.336 * [backup-simplify]: Simplify (- 0) into 0
12.336 * [backup-simplify]: Simplify (+ 0 0) into 0
12.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.338 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.338 * [backup-simplify]: Simplify 0 into 0
12.338 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.340 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0
12.341 * [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
12.341 * [taylor]: Taking taylor expansion of 0 in a2
12.341 * [backup-simplify]: Simplify 0 into 0
12.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.342 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.343 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.343 * [backup-simplify]: Simplify (- 0) into 0
12.344 * [backup-simplify]: Simplify (+ 0 0) into 0
12.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.347 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.347 * [backup-simplify]: Simplify 0 into 0
12.347 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
12.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0
12.350 * [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
12.351 * [taylor]: Taking taylor expansion of 0 in a2
12.351 * [backup-simplify]: Simplify 0 into 0
12.351 * [backup-simplify]: Simplify 0 into 0
12.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.352 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.353 * [backup-simplify]: Simplify (- 0) into 0
12.354 * [backup-simplify]: Simplify (+ 0 0) into 0
12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.356 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.357 * [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
12.357 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
12.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0
12.362 * [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
12.362 * [taylor]: Taking taylor expansion of 0 in a2
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 0 into 0
12.363 * [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))
12.363 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
12.363 * [backup-simplify]: Simplify (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
12.363 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (a1 th) around 0
12.363 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th
12.363 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th
12.363 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.363 * [taylor]: Taking taylor expansion of a1 in th
12.363 * [backup-simplify]: Simplify a1 into a1
12.363 * [taylor]: Taking taylor expansion of (cos th) in th
12.363 * [taylor]: Taking taylor expansion of th in th
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 1 into 1
12.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.363 * [taylor]: Taking taylor expansion of 2.0 in th
12.363 * [backup-simplify]: Simplify 2.0 into 2.0
12.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.364 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.364 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2)
12.364 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
12.364 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
12.364 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
12.365 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.365 * [taylor]: Taking taylor expansion of a1 in a1
12.365 * [backup-simplify]: Simplify 0 into 0
12.365 * [backup-simplify]: Simplify 1 into 1
12.365 * [taylor]: Taking taylor expansion of (cos th) in a1
12.365 * [taylor]: Taking taylor expansion of th in a1
12.365 * [backup-simplify]: Simplify th into th
12.365 * [backup-simplify]: Simplify (cos th) into (cos th)
12.365 * [backup-simplify]: Simplify (sin th) into (sin th)
12.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.365 * [taylor]: Taking taylor expansion of 2.0 in a1
12.365 * [backup-simplify]: Simplify 2.0 into 2.0
12.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.366 * [backup-simplify]: Simplify (* 1 1) into 1
12.366 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.366 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.366 * [backup-simplify]: Simplify (- 0) into 0
12.366 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.366 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
12.366 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
12.366 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1
12.366 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1
12.367 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.367 * [taylor]: Taking taylor expansion of a1 in a1
12.367 * [backup-simplify]: Simplify 0 into 0
12.367 * [backup-simplify]: Simplify 1 into 1
12.367 * [taylor]: Taking taylor expansion of (cos th) in a1
12.367 * [taylor]: Taking taylor expansion of th in a1
12.367 * [backup-simplify]: Simplify th into th
12.367 * [backup-simplify]: Simplify (cos th) into (cos th)
12.367 * [backup-simplify]: Simplify (sin th) into (sin th)
12.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.367 * [taylor]: Taking taylor expansion of 2.0 in a1
12.367 * [backup-simplify]: Simplify 2.0 into 2.0
12.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.368 * [backup-simplify]: Simplify (* 1 1) into 1
12.368 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.368 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.368 * [backup-simplify]: Simplify (- 0) into 0
12.368 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.368 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th)
12.368 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
12.368 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
12.368 * [taylor]: Taking taylor expansion of (cos th) in th
12.368 * [taylor]: Taking taylor expansion of th in th
12.368 * [backup-simplify]: Simplify 0 into 0
12.369 * [backup-simplify]: Simplify 1 into 1
12.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.369 * [taylor]: Taking taylor expansion of 2.0 in th
12.369 * [backup-simplify]: Simplify 2.0 into 2.0
12.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.370 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.370 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.371 * [backup-simplify]: Simplify (+ 0) into 0
12.371 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.372 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.372 * [backup-simplify]: Simplify (- 0) into 0
12.372 * [backup-simplify]: Simplify (+ 0 0) into 0
12.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos th))) into 0
12.374 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.374 * [taylor]: Taking taylor expansion of 0 in th
12.374 * [backup-simplify]: Simplify 0 into 0
12.374 * [backup-simplify]: Simplify 0 into 0
12.374 * [backup-simplify]: Simplify (+ 0) into 0
12.375 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.375 * [backup-simplify]: Simplify 0 into 0
12.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.376 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
12.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.376 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
12.377 * [backup-simplify]: Simplify (- 0) into 0
12.377 * [backup-simplify]: Simplify (+ 0 0) into 0
12.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos th)))) into 0
12.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.380 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.380 * [taylor]: Taking taylor expansion of 0 in th
12.380 * [backup-simplify]: Simplify 0 into 0
12.380 * [backup-simplify]: Simplify 0 into 0
12.380 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
12.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.384 * [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))))
12.385 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2.0)))) into (- (* 1/2 (/ 1 (sqrt 2.0))))
12.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.386 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.387 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.388 * [backup-simplify]: Simplify (- 0) into 0
12.388 * [backup-simplify]: Simplify (+ 0 0) into 0
12.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos th))))) into 0
12.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.397 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.397 * [taylor]: Taking taylor expansion of 0 in th
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify 0 into 0
12.398 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.400 * [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
12.400 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
12.402 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.402 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.403 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.403 * [backup-simplify]: Simplify (- 0) into 0
12.403 * [backup-simplify]: Simplify (+ 0 0) into 0
12.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos th)))))) into 0
12.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.408 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos 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
12.408 * [taylor]: Taking taylor expansion of 0 in th
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.410 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2.0)))) (pow (* th a1) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 a1) 2))) into (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2.0))))
12.411 * [backup-simplify]: Simplify (/ (* (/ 1 a1) (* (/ 1 a1) (cos (/ 1 th)))) (sqrt 2.0)) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
12.411 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in (a1 th) around 0
12.411 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in th
12.411 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.411 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.411 * [taylor]: Taking taylor expansion of th in th
12.411 * [backup-simplify]: Simplify 0 into 0
12.411 * [backup-simplify]: Simplify 1 into 1
12.411 * [backup-simplify]: Simplify (/ 1 1) into 1
12.411 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.411 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in th
12.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.411 * [taylor]: Taking taylor expansion of 2.0 in th
12.411 * [backup-simplify]: Simplify 2.0 into 2.0
12.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.412 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.412 * [taylor]: Taking taylor expansion of a1 in th
12.412 * [backup-simplify]: Simplify a1 into a1
12.412 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.412 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow a1 2)) into (* (sqrt 2.0) (pow a1 2))
12.413 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2)))
12.413 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
12.413 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.413 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.413 * [taylor]: Taking taylor expansion of th in a1
12.413 * [backup-simplify]: Simplify th into th
12.413 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.413 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.413 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
12.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.413 * [taylor]: Taking taylor expansion of 2.0 in a1
12.413 * [backup-simplify]: Simplify 2.0 into 2.0
12.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.414 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.414 * [taylor]: Taking taylor expansion of a1 in a1
12.414 * [backup-simplify]: Simplify 0 into 0
12.414 * [backup-simplify]: Simplify 1 into 1
12.414 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.414 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.415 * [backup-simplify]: Simplify (- 0) into 0
12.415 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.415 * [backup-simplify]: Simplify (* 1 1) into 1
12.415 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.416 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.416 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a1 2))) in a1
12.416 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.416 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.416 * [taylor]: Taking taylor expansion of th in a1
12.416 * [backup-simplify]: Simplify th into th
12.416 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.416 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.416 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.416 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a1 2)) in a1
12.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.416 * [taylor]: Taking taylor expansion of 2.0 in a1
12.416 * [backup-simplify]: Simplify 2.0 into 2.0
12.416 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.417 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.417 * [taylor]: Taking taylor expansion of a1 in a1
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 1 into 1
12.417 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.417 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.417 * [backup-simplify]: Simplify (- 0) into 0
12.417 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.418 * [backup-simplify]: Simplify (* 1 1) into 1
12.418 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.418 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.418 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.419 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.419 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.419 * [taylor]: Taking taylor expansion of th in th
12.419 * [backup-simplify]: Simplify 0 into 0
12.419 * [backup-simplify]: Simplify 1 into 1
12.419 * [backup-simplify]: Simplify (/ 1 1) into 1
12.419 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.419 * [taylor]: Taking taylor expansion of 2.0 in th
12.419 * [backup-simplify]: Simplify 2.0 into 2.0
12.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.420 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.420 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.420 * [backup-simplify]: Simplify (+ 0) into 0
12.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.423 * [backup-simplify]: Simplify (- 0) into 0
12.423 * [backup-simplify]: Simplify (+ 0 0) into 0
12.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.426 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.426 * [taylor]: Taking taylor expansion of 0 in th
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.431 * [backup-simplify]: Simplify (- 0) into 0
12.431 * [backup-simplify]: Simplify (+ 0 0) into 0
12.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.434 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.436 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.436 * [taylor]: Taking taylor expansion of 0 in th
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 0 into 0
12.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.440 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.440 * [backup-simplify]: Simplify 0 into 0
12.441 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.445 * [backup-simplify]: Simplify (- 0) into 0
12.445 * [backup-simplify]: Simplify (+ 0 0) into 0
12.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.448 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.451 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.451 * [taylor]: Taking taylor expansion of 0 in th
12.451 * [backup-simplify]: Simplify 0 into 0
12.451 * [backup-simplify]: Simplify 0 into 0
12.452 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (/ 1 (/ 1 a1))) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
12.452 * [backup-simplify]: Simplify (/ (* (/ 1 (- a1)) (* (/ 1 (- a1)) (cos (/ 1 (- th))))) (sqrt 2.0)) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
12.452 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (a1 th) around 0
12.452 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th
12.452 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.453 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.453 * [taylor]: Taking taylor expansion of -1 in th
12.453 * [backup-simplify]: Simplify -1 into -1
12.453 * [taylor]: Taking taylor expansion of th in th
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 1 into 1
12.453 * [backup-simplify]: Simplify (/ -1 1) into -1
12.453 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.453 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th
12.453 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.453 * [taylor]: Taking taylor expansion of a1 in th
12.453 * [backup-simplify]: Simplify a1 into a1
12.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.453 * [taylor]: Taking taylor expansion of 2.0 in th
12.453 * [backup-simplify]: Simplify 2.0 into 2.0
12.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.454 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.454 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2.0)) into (* (pow a1 2) (sqrt 2.0))
12.455 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0)))
12.455 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
12.455 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.455 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.455 * [taylor]: Taking taylor expansion of -1 in a1
12.455 * [backup-simplify]: Simplify -1 into -1
12.455 * [taylor]: Taking taylor expansion of th in a1
12.455 * [backup-simplify]: Simplify th into th
12.455 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.455 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.455 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.455 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
12.455 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.455 * [taylor]: Taking taylor expansion of a1 in a1
12.455 * [backup-simplify]: Simplify 0 into 0
12.455 * [backup-simplify]: Simplify 1 into 1
12.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.455 * [taylor]: Taking taylor expansion of 2.0 in a1
12.455 * [backup-simplify]: Simplify 2.0 into 2.0
12.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.456 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.456 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.456 * [backup-simplify]: Simplify (- 0) into 0
12.456 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.456 * [backup-simplify]: Simplify (* 1 1) into 1
12.457 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
12.457 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.457 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1
12.457 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.457 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.457 * [taylor]: Taking taylor expansion of -1 in a1
12.457 * [backup-simplify]: Simplify -1 into -1
12.457 * [taylor]: Taking taylor expansion of th in a1
12.457 * [backup-simplify]: Simplify th into th
12.457 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.457 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.457 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.457 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1
12.457 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.457 * [taylor]: Taking taylor expansion of a1 in a1
12.457 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.458 * [taylor]: Taking taylor expansion of 2.0 in a1
12.458 * [backup-simplify]: Simplify 2.0 into 2.0
12.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.458 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.458 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.459 * [backup-simplify]: Simplify (- 0) into 0
12.459 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.459 * [backup-simplify]: Simplify (* 1 1) into 1
12.459 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
12.460 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.460 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.460 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.460 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.460 * [taylor]: Taking taylor expansion of -1 in th
12.460 * [backup-simplify]: Simplify -1 into -1
12.460 * [taylor]: Taking taylor expansion of th in th
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 1 into 1
12.460 * [backup-simplify]: Simplify (/ -1 1) into -1
12.460 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.460 * [taylor]: Taking taylor expansion of 2.0 in th
12.460 * [backup-simplify]: Simplify 2.0 into 2.0
12.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.461 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.462 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.462 * [backup-simplify]: Simplify (+ 0) into 0
12.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.462 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.463 * [backup-simplify]: Simplify (- 0) into 0
12.464 * [backup-simplify]: Simplify (+ 0 0) into 0
12.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2.0))) into 0
12.465 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.465 * [taylor]: Taking taylor expansion of 0 in th
12.465 * [backup-simplify]: Simplify 0 into 0
12.465 * [backup-simplify]: Simplify 0 into 0
12.466 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.466 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.468 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.468 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.469 * [backup-simplify]: Simplify (- 0) into 0
12.469 * [backup-simplify]: Simplify (+ 0 0) into 0
12.470 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
12.472 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.472 * [taylor]: Taking taylor expansion of 0 in th
12.472 * [backup-simplify]: Simplify 0 into 0
12.472 * [backup-simplify]: Simplify 0 into 0
12.472 * [backup-simplify]: Simplify 0 into 0
12.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.474 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.474 * [backup-simplify]: Simplify 0 into 0
12.475 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.475 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.477 * [backup-simplify]: Simplify (- 0) into 0
12.477 * [backup-simplify]: Simplify (+ 0 0) into 0
12.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
12.481 * [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
12.481 * [taylor]: Taking taylor expansion of 0 in th
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
12.481 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2)
12.482 * [backup-simplify]: Simplify (* a1 (cos th)) into (* a1 (cos th))
12.482 * [approximate]: Taking taylor expansion of (* a1 (cos th)) in (a1 th) around 0
12.482 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th
12.482 * [taylor]: Taking taylor expansion of a1 in th
12.482 * [backup-simplify]: Simplify a1 into a1
12.482 * [taylor]: Taking taylor expansion of (cos th) in th
12.482 * [taylor]: Taking taylor expansion of th in th
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1
12.482 * [taylor]: Taking taylor expansion of a1 in a1
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [taylor]: Taking taylor expansion of (cos th) in a1
12.482 * [taylor]: Taking taylor expansion of th in a1
12.482 * [backup-simplify]: Simplify th into th
12.482 * [backup-simplify]: Simplify (cos th) into (cos th)
12.482 * [backup-simplify]: Simplify (sin th) into (sin th)
12.482 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1
12.482 * [taylor]: Taking taylor expansion of a1 in a1
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [taylor]: Taking taylor expansion of (cos th) in a1
12.482 * [taylor]: Taking taylor expansion of th in a1
12.482 * [backup-simplify]: Simplify th into th
12.482 * [backup-simplify]: Simplify (cos th) into (cos th)
12.482 * [backup-simplify]: Simplify (sin th) into (sin th)
12.482 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.482 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.482 * [backup-simplify]: Simplify (- 0) into 0
12.482 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.483 * [backup-simplify]: Simplify (* 0 (cos th)) into 0
12.483 * [taylor]: Taking taylor expansion of 0 in th
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify (+ 0) into 0
12.483 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.484 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.484 * [backup-simplify]: Simplify (- 0) into 0
12.484 * [backup-simplify]: Simplify (+ 0 0) into 0
12.485 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos th))) into (cos th)
12.485 * [taylor]: Taking taylor expansion of (cos th) in th
12.485 * [taylor]: Taking taylor expansion of th in th
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify 1 into 1
12.485 * [backup-simplify]: Simplify 1 into 1
12.485 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.486 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
12.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.487 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
12.487 * [backup-simplify]: Simplify (- 0) into 0
12.487 * [backup-simplify]: Simplify (+ 0 0) into 0
12.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos th)))) into 0
12.488 * [taylor]: Taking taylor expansion of 0 in th
12.488 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify (+ 0) into 0
12.488 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify 0 into 0
12.489 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.490 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.492 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.492 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.493 * [backup-simplify]: Simplify (- 0) into 0
12.493 * [backup-simplify]: Simplify (+ 0 0) into 0
12.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos th))))) into 0
12.494 * [taylor]: Taking taylor expansion of 0 in th
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify (* 1 (* 1 a1)) into a1
12.494 * [backup-simplify]: Simplify (* (/ 1 a1) (cos (/ 1 th))) into (/ (cos (/ 1 th)) a1)
12.494 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in (a1 th) around 0
12.494 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in th
12.494 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.494 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.494 * [taylor]: Taking taylor expansion of th in th
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 1 into 1
12.494 * [backup-simplify]: Simplify (/ 1 1) into 1
12.494 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.494 * [taylor]: Taking taylor expansion of a1 in th
12.494 * [backup-simplify]: Simplify a1 into a1
12.495 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) a1) into (/ (cos (/ 1 th)) a1)
12.495 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in a1
12.495 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.495 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.495 * [taylor]: Taking taylor expansion of th in a1
12.495 * [backup-simplify]: Simplify th into th
12.495 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.495 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.495 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.495 * [taylor]: Taking taylor expansion of a1 in a1
12.495 * [backup-simplify]: Simplify 0 into 0
12.495 * [backup-simplify]: Simplify 1 into 1
12.495 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.495 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.495 * [backup-simplify]: Simplify (- 0) into 0
12.495 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.495 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.495 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in a1
12.495 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.495 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.495 * [taylor]: Taking taylor expansion of th in a1
12.495 * [backup-simplify]: Simplify th into th
12.495 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.496 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.496 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.496 * [taylor]: Taking taylor expansion of a1 in a1
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.496 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.496 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.496 * [backup-simplify]: Simplify (- 0) into 0
12.496 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.496 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.496 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.496 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.496 * [taylor]: Taking taylor expansion of th in th
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.497 * [backup-simplify]: Simplify (/ 1 1) into 1
12.497 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.497 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.501 * [backup-simplify]: Simplify (+ 0) into 0
12.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.503 * [backup-simplify]: Simplify (- 0) into 0
12.503 * [backup-simplify]: Simplify (+ 0 0) into 0
12.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
12.504 * [taylor]: Taking taylor expansion of 0 in th
12.504 * [backup-simplify]: Simplify 0 into 0
12.504 * [backup-simplify]: Simplify 0 into 0
12.504 * [backup-simplify]: Simplify 0 into 0
12.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.506 * [backup-simplify]: Simplify (- 0) into 0
12.506 * [backup-simplify]: Simplify (+ 0 0) into 0
12.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.507 * [taylor]: Taking taylor expansion of 0 in th
12.507 * [backup-simplify]: Simplify 0 into 0
12.507 * [backup-simplify]: Simplify 0 into 0
12.507 * [backup-simplify]: Simplify 0 into 0
12.507 * [backup-simplify]: Simplify 0 into 0
12.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.510 * [backup-simplify]: Simplify (- 0) into 0
12.510 * [backup-simplify]: Simplify (+ 0 0) into 0
12.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.512 * [taylor]: Taking taylor expansion of 0 in th
12.512 * [backup-simplify]: Simplify 0 into 0
12.512 * [backup-simplify]: Simplify 0 into 0
12.512 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 th))) (* 1 (/ 1 (/ 1 a1)))) into (* a1 (cos th))
12.512 * [backup-simplify]: Simplify (* (/ 1 (- a1)) (cos (/ 1 (- th)))) into (* -1 (/ (cos (/ -1 th)) a1))
12.512 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) a1)) in (a1 th) around 0
12.512 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) a1)) in th
12.512 * [taylor]: Taking taylor expansion of -1 in th
12.512 * [backup-simplify]: Simplify -1 into -1
12.512 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in th
12.512 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.512 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.512 * [taylor]: Taking taylor expansion of -1 in th
12.512 * [backup-simplify]: Simplify -1 into -1
12.512 * [taylor]: Taking taylor expansion of th in th
12.512 * [backup-simplify]: Simplify 0 into 0
12.512 * [backup-simplify]: Simplify 1 into 1
12.512 * [backup-simplify]: Simplify (/ -1 1) into -1
12.513 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.513 * [taylor]: Taking taylor expansion of a1 in th
12.513 * [backup-simplify]: Simplify a1 into a1
12.513 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) a1) into (/ (cos (/ -1 th)) a1)
12.513 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) a1)) in a1
12.513 * [taylor]: Taking taylor expansion of -1 in a1
12.513 * [backup-simplify]: Simplify -1 into -1
12.513 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in a1
12.513 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.513 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.513 * [taylor]: Taking taylor expansion of -1 in a1
12.513 * [backup-simplify]: Simplify -1 into -1
12.513 * [taylor]: Taking taylor expansion of th in a1
12.513 * [backup-simplify]: Simplify th into th
12.513 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.513 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.513 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.513 * [taylor]: Taking taylor expansion of a1 in a1
12.513 * [backup-simplify]: Simplify 0 into 0
12.513 * [backup-simplify]: Simplify 1 into 1
12.513 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.513 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.513 * [backup-simplify]: Simplify (- 0) into 0
12.513 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.513 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.514 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) a1)) in a1
12.514 * [taylor]: Taking taylor expansion of -1 in a1
12.514 * [backup-simplify]: Simplify -1 into -1
12.514 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in a1
12.514 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.514 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.514 * [taylor]: Taking taylor expansion of -1 in a1
12.514 * [backup-simplify]: Simplify -1 into -1
12.514 * [taylor]: Taking taylor expansion of th in a1
12.514 * [backup-simplify]: Simplify th into th
12.514 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.514 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.514 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.514 * [taylor]: Taking taylor expansion of a1 in a1
12.514 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify 1 into 1
12.514 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.514 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.514 * [backup-simplify]: Simplify (- 0) into 0
12.514 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.514 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.514 * [backup-simplify]: Simplify (* -1 (cos (/ -1 th))) into (* -1 (cos (/ -1 th)))
12.514 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 th))) in th
12.514 * [taylor]: Taking taylor expansion of -1 in th
12.515 * [backup-simplify]: Simplify -1 into -1
12.515 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.515 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.515 * [taylor]: Taking taylor expansion of -1 in th
12.515 * [backup-simplify]: Simplify -1 into -1
12.515 * [taylor]: Taking taylor expansion of th in th
12.515 * [backup-simplify]: Simplify 0 into 0
12.515 * [backup-simplify]: Simplify 1 into 1
12.515 * [backup-simplify]: Simplify (/ -1 1) into -1
12.515 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.515 * [backup-simplify]: Simplify (* -1 (cos (/ -1 th))) into (* -1 (cos (/ -1 th)))
12.515 * [backup-simplify]: Simplify (* -1 (cos (/ -1 th))) into (* -1 (cos (/ -1 th)))
12.515 * [backup-simplify]: Simplify (+ 0) into 0
12.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.516 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.517 * [backup-simplify]: Simplify (- 0) into 0
12.517 * [backup-simplify]: Simplify (+ 0 0) into 0
12.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
12.518 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1 th)))) into 0
12.518 * [taylor]: Taking taylor expansion of 0 in th
12.518 * [backup-simplify]: Simplify 0 into 0
12.518 * [backup-simplify]: Simplify 0 into 0
12.518 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1 th)))) into 0
12.518 * [backup-simplify]: Simplify 0 into 0
12.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.520 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.520 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.520 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.521 * [backup-simplify]: Simplify (- 0) into 0
12.521 * [backup-simplify]: Simplify (+ 0 0) into 0
12.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
12.522 * [taylor]: Taking taylor expansion of 0 in th
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 0 into 0
12.522 * [backup-simplify]: Simplify 0 into 0
12.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
12.523 * [backup-simplify]: Simplify 0 into 0
12.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.524 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.525 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.526 * [backup-simplify]: Simplify (- 0) into 0
12.526 * [backup-simplify]: Simplify (+ 0 0) into 0
12.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.528 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
12.528 * [taylor]: Taking taylor expansion of 0 in th
12.528 * [backup-simplify]: Simplify 0 into 0
12.528 * [backup-simplify]: Simplify 0 into 0
12.528 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1 (/ 1 (- th))))) (* 1 (/ 1 (/ 1 (- a1))))) into (* a1 (cos th))
12.528 * * * [progress]: simplifying candidates
12.530 * [simplify]: Simplifying:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (- (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))
  (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
  (* (/ (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))
  (expm1 (/ (* a1 (* a1 (cos th))) (sqrt 2.0)))
  (log1p (/ (* a1 (* a1 (cos th))) (sqrt 2.0)))
  (- (+ (log a1) (+ (log a1) (log (cos th)))) (log (sqrt 2.0)))
  (- (+ (log a1) (log (* a1 (cos th)))) (log (sqrt 2.0)))
  (- (log (* a1 (* a1 (cos th)))) (log (sqrt 2.0)))
  (log (/ (* a1 (* a1 (cos th))) (sqrt 2.0)))
  (exp (/ (* a1 (* a1 (cos th))) (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 (cos th)) (* a1 (cos th))) (* a1 (cos th)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (/ (* (* (* a1 (* a1 (cos th))) (* a1 (* a1 (cos th)))) (* a1 (* a1 (cos th)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (* a1 (* a1 (cos th))) (sqrt 2.0))) (cbrt (/ (* a1 (* a1 (cos th))) (sqrt 2.0))))
  (cbrt (/ (* 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)))
  (sqrt (/ (* a1 (* a1 (cos th))) (sqrt 2.0)))
  (sqrt (/ (* a1 (* a1 (cos th))) (sqrt 2.0)))
  (- (* a1 (* a1 (cos th))))
  (- (sqrt 2.0))
  (/ a1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* a1 (cos th)) (cbrt (sqrt 2.0)))
  (/ a1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (* a1 (cos th)) (sqrt (cbrt 2.0)))
  (/ a1 (sqrt (sqrt 2.0)))
  (/ (* a1 (cos th)) (sqrt (sqrt 2.0)))
  (/ a1 (sqrt 1))
  (/ (* a1 (cos th)) (sqrt 2.0))
  (/ a1 (sqrt (sqrt 2.0)))
  (/ (* a1 (cos th)) (sqrt (sqrt 2.0)))
  (/ a1 1)
  (/ (* a1 (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (* a1 (* a1 (cos th))))
  (/ (* a1 (* a1 (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* a1 (* a1 (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0)))
  (/ (* a1 (* a1 (cos th))) (sqrt 1))
  (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0)))
  (/ (* a1 (* a1 (cos th))) 1)
  (/ (sqrt 2.0) (* a1 (cos th)))
  (expm1 (* a1 (cos th)))
  (log1p (* a1 (cos th)))
  (* a1 (cos th))
  (+ (log a1) (log (cos th)))
  (log (* a1 (cos th)))
  (exp (* a1 (cos th)))
  (* (* (* a1 a1) a1) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (* a1 (cos th))) (cbrt (* a1 (cos th))))
  (cbrt (* a1 (cos th)))
  (* (* (* a1 (cos th)) (* a1 (cos th))) (* a1 (cos th)))
  (sqrt (* a1 (cos th)))
  (sqrt (* a1 (cos th)))
  (* (sqrt a1) (sqrt (cos th)))
  (* (sqrt a1) (sqrt (cos th)))
  (* a1 (* (cbrt (cos th)) (cbrt (cos th))))
  (* a1 (sqrt (cos th)))
  (* a1 1)
  (* (cbrt a1) (cos th))
  (* (sqrt a1) (cos th))
  (* a1 (cos th))
  (- (+ (/ 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))
  a1
  (* a1 (cos th))
  (* a1 (cos th))
12.532 * * [simplify]: iteration 0: 207 enodes
12.624 * * [simplify]: iteration 1: 543 enodes
12.894 * * [simplify]: iteration 2: 1904 enodes
13.741 * * [simplify]: iteration complete: 5001 enodes
13.741 * * [simplify]: Extracting #0: cost 110 inf + 0
13.743 * * [simplify]: Extracting #1: cost 855 inf + 2
13.749 * * [simplify]: Extracting #2: cost 1501 inf + 4674
13.791 * * [simplify]: Extracting #3: cost 996 inf + 166912
14.283 * * [simplify]: Extracting #4: cost 99 inf + 369705
14.395 * * [simplify]: Extracting #5: cost 1 inf + 389896
14.483 * * [simplify]: Extracting #6: cost 0 inf + 389628
14.582 * * [simplify]: Extracting #7: cost 0 inf + 389588
14.685 * [simplify]: Simplified to:
  (expm1 (/ (cos th) (sqrt 2.0)))
  (log1p (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (log (/ (cos th) (sqrt 2.0)))
  (exp (/ (cos th) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (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 (sqrt 2.0))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))))
  (/ (cbrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (cbrt (cos th)) (sqrt (sqrt 2.0)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (cbrt (cos th)) (sqrt 2.0))
  (/ (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (cbrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (fabs (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (cbrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (sqrt (cos th))
  (/ (sqrt (cos th)) (sqrt 2.0))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  1
  (/ (cos th) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (cos th))
  (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (cos th) (fabs (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (cos th) (sqrt (sqrt 2.0)))
  (cos th)
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) (cos th))
  (expm1 (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (log1p (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (log (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (log (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (log (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (log (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (log (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (exp (* (* (/ (cos th) (sqrt 2.0)) a2) a2))
  (* (* (* (* (* a2 a2) a2) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (/ (cos th) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)))
  (* (* (* (* (* a2 a2) a2) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (/ (cos th) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)))
  (* (* a2 a2) (* (/ (cos th) (sqrt 2.0)) (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))))
  (* (* a2 a2) (* (/ (cos th) (sqrt 2.0)) (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* 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))
  (* (* a2 a2) (* (/ (cos th) (sqrt 2.0)) (* (* (/ (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))
  (* a2 (/ (cos th) (sqrt 2.0)))
  (* (* (cbrt (/ (cos th) (sqrt 2.0))) a2) a2)
  (* (* a2 a2) (sqrt (/ (cos th) (sqrt 2.0))))
  (/ (* (* (cbrt (cos th)) a2) a2) (cbrt (sqrt 2.0)))
  (/ (* (* (cbrt (cos th)) a2) a2) (sqrt (cbrt 2.0)))
  (/ (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) (* a2 a2)) (sqrt (cbrt 2.0)))
  (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (/ (* a2 a2) (sqrt 2.0))
  (* (* (cos th) a2) a2)
  (expm1 (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (log1p (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (log (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (log (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (log (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (log (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (exp (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (/ (/ (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th))) 2.0) (/ (sqrt 2.0) (* (* a1 a1) (cos th))))
  (/ (/ (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th))) 2.0) (/ (sqrt 2.0) (* (* a1 a1) (cos th))))
  (/ (/ (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th))) 2.0) (/ (sqrt 2.0) (* (* a1 a1) (cos th))))
  (* (cbrt (/ (* a1 a1) (/ (sqrt 2.0) (cos th)))) (cbrt (/ (* a1 a1) (/ (sqrt 2.0) (cos th)))))
  (cbrt (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (/ (/ (* (* (* a1 a1) (cos th)) (* (* a1 a1) (cos th))) 2.0) (/ (sqrt 2.0) (* (* a1 a1) (cos th))))
  (sqrt (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (* a1 a1) (/ (sqrt 2.0) (cos th))))
  (* (- (* a1 (cos th))) a1)
  (- (sqrt 2.0))
  (/ (/ a1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (* (/ a1 (cbrt (sqrt 2.0))) (cos th))
  (/ a1 (fabs (cbrt 2.0)))
  (/ (* (cos th) a1) (sqrt (cbrt 2.0)))
  (/ a1 (sqrt (sqrt 2.0)))
  (/ (* (cos th) a1) (sqrt (sqrt 2.0)))
  a1
  (/ a1 (/ (sqrt 2.0) (cos th)))
  (/ a1 (sqrt (sqrt 2.0)))
  (/ (* (cos th) a1) (sqrt (sqrt 2.0)))
  a1
  (/ a1 (/ (sqrt 2.0) (cos th)))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (* (* a1 a1) (cos th)))
  (* (/ a1 (cbrt (sqrt 2.0))) (* (/ a1 (cbrt (sqrt 2.0))) (cos th)))
  (* (/ (* a1 (cos th)) (fabs (cbrt 2.0))) a1)
  (* (/ (* a1 (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (* a1 a1) (cos th))
  (* (/ (* a1 (cos th)) (sqrt (sqrt 2.0))) a1)
  (* (* a1 a1) (cos th))
  (/ (sqrt 2.0) (* (cos th) a1))
  (expm1 (* (cos th) a1))
  (log1p (* (cos th) a1))
  (* (cos th) a1)
  (log (* (cos th) a1))
  (log (* (cos th) a1))
  (exp (* (cos th) a1))
  (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1))
  (* (cbrt (* (cos th) a1)) (cbrt (* (cos th) a1)))
  (cbrt (* (cos th) a1))
  (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1))
  (sqrt (* (cos th) a1))
  (sqrt (* (cos th) a1))
  (* (sqrt a1) (sqrt (cos th)))
  (* (sqrt a1) (sqrt (cos th)))
  (* (cbrt (cos th)) (* (cbrt (cos th)) a1))
  (* a1 (sqrt (cos th)))
  a1
  (* (cos th) (cbrt a1))
  (* (cos th) (sqrt a1))
  (* (cos th) a1)
  (fma -1/2 (/ th (/ (sqrt 2.0) th)) (fma 1/24 (/ (* (* th th) (* th th)) (sqrt 2.0)) (/ 1 (sqrt 2.0))))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt 2.0))
  (fma -1/2 (* (* (/ (* a2 a2) (sqrt 2.0)) th) th) (/ (* a2 a2) (sqrt 2.0)))
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (* (* (/ (cos th) (sqrt 2.0)) a2) a2)
  (fma (/ (* (* a1 th) (* a1 th)) (sqrt 2.0)) -1/2 (/ a1 (/ (sqrt 2.0) a1)))
  (/ (* a1 a1) (/ (sqrt 2.0) (cos th)))
  (/ (* a1 a1) (/ (sqrt 2.0) (cos th)))
  a1
  (* (cos th) a1)
  (* (cos th) a1)
14.695 * * * [progress]: adding candidates to table
15.647 * [progress]: [Phase 3 of 3] Extracting.
15.647 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
15.648 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1)
15.648 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
15.726 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
15.791 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))>)
15.861 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
15.959 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
16.053 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
16.104 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2.0)) (* (cos th) (* a2 (/ a2 (sqrt 2.0))))))> #<alt (λ (a1 a2 th) (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))))> #<alt (λ (a1 a2 th) (+ (/ (* a1 (* a1 (cos th))) (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))))> #<alt (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))))> #<alt (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2.0) (fma a1 a1 (* a2 a2)))))>)
16.159 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
16.159 * [simplify]: Simplifying:
  (+ (/ (/ (* a1 (* a1 (cos th))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
16.159 * * [simplify]: iteration 0: 15 enodes
16.160 * * [simplify]: iteration 1: 19 enodes
16.161 * * [simplify]: iteration complete: 19 enodes
16.161 * * [simplify]: Extracting #0: cost 1 inf + 0
16.161 * * [simplify]: Extracting #1: cost 3 inf + 0
16.161 * * [simplify]: Extracting #2: cost 7 inf + 0
16.161 * * [simplify]: Extracting #3: cost 11 inf + 0
16.161 * * [simplify]: Extracting #4: cost 13 inf + 42
16.162 * * [simplify]: Extracting #5: cost 10 inf + 45
16.162 * * [simplify]: Extracting #6: cost 4 inf + 695
16.162 * * [simplify]: Extracting #7: cost 1 inf + 1403
16.162 * * [simplify]: Extracting #8: cost 0 inf + 1867
16.162 * [simplify]: Simplified to:
  (+ (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (/ (/ (* (* a1 (cos th)) a1) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
23.348 * [regime-testing]: Baseline error score: 0.49851024974639485
23.357 * [regime-testing]: Oracle error score: 0.038879859982497815
23.389 * [regime-testing]: End program error score: 0.49851024974639485